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Signal processing noise 1st Edition Vyacheslav Tuzlukov
Signal processing noise 1st Edition Vyacheslav Tuzlukov
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Author(s): VyacheslavTuzlukov
ISBN(s): 9780849310256, 0849310253
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Year: 2002
Language: english
Signal processing noise 1st Edition Vyacheslav Tuzlukov
SIGNAL
PROCESSING
NOISE
© 2002 by CRC Press LLC
THE ELECTRICAL ENGINEERING
AND APPLIED SIGNAL PROCESSING SERIES
Edited by Alexander Poularikas
The Advanced Signal Processing Handbook:
Theory and Implementation for Radar, Sonar,
and Medical Imaging Real-Time Systems
Stergios Stergiopoulos
The Transform and Data Compression Handbook
K.R. Rao and P.C. Yip
Handbook of Multisensor Data Fusion
David Hall and James Llinas
Handbook of Neural Network Signal Processing
Yu Hen Hu and Jenq-Neng Hwang
Handbook of Antennas in Wireless Communications
Lal Chand Godara
Noise Reduction in Speech Applications
Gillian M. Davis
Signal Processing Noise
Vyacheslav P. Tuzlukov
Forthcoming Titles
Propagation Data Handbook for Wireless Communications
Robert Crane
The Digital Color Imaging Handbook
Guarav Sharma
Applications in Time Frequency Signal Processing
Antonia Papandreou-Suppappola
Digital Signal Processing with Examples in MATLAB®
Samuel Stearns
Smart Antennas
Lal Chand Godara
Pattern Recognition in Speech and Language Processing
Wu Chou and Bing Huang Juang
Nonlinear Signal and Image Processing: Theory, Methods, and Applications
Kenneth Barner and Gonzalo R. Arce
© 2002 by CRC Press LLC
CRC PR ESS
Boca Raton London New York Washington, D.C.
SIGNAL
PROCESSING
NOISE
Vyacheslav P. Tuzlukov
THE ELECTRICAL ENGINEERING AND APPLIED SIGNAL PROCESSING SERIES
This book contains information obtained from authentic and highly regarded sources. Reprinted material
is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable
efforts have been made to publish reliable data and information, but the author and the publisher cannot
assume responsibility for the validity of all materials or for the consequences of their use.
Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic
or mechanical, including photocopying, microfilming, and recording, or by any information storage or
retrieval system, without prior permission in writing from the publisher.
The consent of CRC Press LLC does not extend to copying for general distribution, for promotion, for
creating new works, or for resale. Specific permission must be obtained in writing from CRC Press LLC
for such copying.
Direct all inquiries to CRC Press LLC, 2000 N.W. Corporate Blvd., Boca Raton, Florida 33431.
Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are
used only for identification and explanation, without intent to infringe.
Visit the CRC Press Web site at www.crcpress.com
© 2002 by CRC Press LLC
No claim to original U.S. Government works
International Standard Book Number 0-8493-1025-3
Library of Congress Card Number 2002017487
Printed in the United States of America 1 2 3 4 5 6 7 8 9 0
Printed on acid-free paper
Library of Congress Cataloging-in-Publication Data
Tuzlukov, V. P. (Viacheslav Petrovich)
Signal processing noise / Vyacheslav P. Tuzlukov.
p. cm. — (The electrical engineering and applied signal processing series)
Includes bibliographical references and index.
ISBN 0-8493-1025-3 (alk. paper)
1. Signal processing—Digital techniques. 2. Electronic noise—Prevention. 3. Noise
control. I. Title. II. Series.
TK5102.9 .T88 2002
621.382′24—dc21 2002017487
1025 disclaimer Page 1 Friday, March 22, 2002 8:06 AM
© 2002 by CRC Press LLC
To the undying memory of Dr. Peter G. Tuzlukov,
my dear father and teacher
© 2002 by CRC Press LLC
Preface
The performance of complex signal processing systems is limited by the addi-
tive and multiplicative noise present in the communication channel through
which the information signal is transmitted.
Multiplicative noise is distortion in the amplitude and phase structure of
the information signal. Multiplicative noise can occur in the generation, trans-
mission, and processing of the information signal. The main characteristics
of complex signal processing systems that are used, for example, in radar,
communications, wireless communications, mobile communications, sonar,
acoustics, underwater signal processing, remote sensing, navigation systems,
geophysical signal processing, and biomedical signal processing, deteriorate
as a result of the effect of multiplicative noise. The impact of multiplicative
noise on the main characteristics of complex signal processing systems in var-
ious areas of signal processing is great in those cases in which complex signal
processing systems use signals with complex phase structure, for example,
frequency-modulated signals, phase-modulated signals, and so on, or when
complex signal processing systems use signal processing of coherent signals
of large duration.
In recent years the problems of signal processing that result from the com-
bined stimulus of additive Gaussian noise and multiplicative noise are of
great interest for systems that deploy complex signal processing and coher-
ent signal processing.
In this book we discuss the following problems:
• The main statistical characteristics of multiplicative noise
• The main statistical characteristics of the signals distorted by multiplica-
tive noise
• The main statistical characteristics of the process at the output of linear
systems impacted by multiplicative noise
• The main principles of the generalized approach to signal processing in
additive Gaussian noise and multiplicative noise
• The main statistical characteristics of the signal at the output of the gen-
eralized detector impacted by multiplicative noise
• Impact of multiplicative noise on the detection performances of the sig-
nals that are processed by the generalized detector, on the estimation of
measurement of the signal parameters, and on the signal resolution
© 2002 by CRC Press LLC
As a starting point, in Chapter 1 we discuss the main concepts of proba-
bility and statistics upon which all results and all conclusions in this book
are based. The main results and conclusions discussed in this book are based
on the generalized approach to signal processing in the presence of additive
Gaussian noise and multiplicative noise. This is based on a seemingly abstract
idea: the introduction of an additional noise source (that does not carry any
information about the signal) in order to improve the qualitative performance
of complex signal processing systems. Theoretical and experimental studies
carried out by the author lead to the conclusion that the proposed general-
ized approach to signal processing impacted by additive Gaussian noise and
multiplicative noise allows us to formulate a decision-making rule based on
the determination of the jointly sufficient statistics of the mean and variance of the
likelihood function (or functional). Classical and modern signal processing
theories allow us to define only the sufficient statistic of the mean of the like-
lihood function (or functional). Additional information about the statistical
characteristics of the likelihood function (or functional) leads to better quality
signal detection in compared with the optimal signal detection algorithms of
classical and modern theories.
The generalized approach to signal processing in the presence of additive
Gaussian noise and multiplicative noise allows us to extend the well-known
boundaries of the potential noise immunity set by classical and modern signal
detectiontheories.Employingcomplexsignalprocessingsystemsconstructed
on the basis of the generalized approach to signal processing in the presence
of additive Gaussian noise and multiplicative noise allows us to obtain better
detection of signals with noise components present compared with complex
signal processing systems that are constructed on the basis of classical and
modern theories. The optimal and asymptotic signal detection algorithms (of
classical and modern theories), for signals with amplitude-frequency-phase
structure characteristics that can be known and unknown a priori, are the
components of the signal detection algorithms that are designed on the ba-
sis of the generalized approach to signal detection theory.The problems dis-
cussed in this book show that it is possible to raise the upper boundary of
the potential noise immunity for any complex signal processing system in-
cluding signal processing systems with associated noise immunity defined
by classical and modern signal detection theories.
To better understand the fundamental statements and concepts of the gen-
eralized approach to signal processing in the presence of additive Gaussian
noise and multiplicative noise the reader should consult my two earlier books:
Signal Processing in Noise: A New Methodology (IEC, Minsk, 1998) and Signal
Detection Theory (Springer-Verlag, New York, 2001).
I am extremely grateful to my colleagues in the field of signal processing for
very useful discussion about the main results, in particular, Prof. V. Ignatov,
Prof. A. Kolyada, Prof. I. Malevich, Prof. G. Manshin, Prof. V. Marakhovsky,
Prof. B. Levin, Prof. D. Johnson, Prof. B. Bogner, Prof. Yu. Sedyshev,
© 2002 by CRC Press LLC
Prof. J. Schroeder, Prof. Yu. Shinakov, Prof. V. Varshavsky, Prof. A. Kara,
Prof. X. R. Lee, Prof. Y. Bar-Shalom, Dr. V. Kuzkin, Dr. A. Dubey, and Dr.
O. Drummond.
I thank my colleagues at the University of Aizu, Japan, for very valuable
discussion about the main statements and concepts of the book.
I especially thank my dear mother, Natali Tuzlukova, and my lovely wife,
Elena Tuzlukova, for their understanding, endless patience, and tremendous
support during the course of my work on this book.
I also wish to express my life-long, heartfelt gratitude to Dr. Peter G.
Tuzlukov, my father and teacher, who introduced me to science.
Vyacheslav P. Tuzlukov
© 2002 by CRC Press LLC
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Hayward divined at the first glance must contain the little relics of the
mother, of itself a pitiful little object enough. There had not been a word
said on the subject, but the Colonel had been startled by the sight of it. He
had recognised it, or imagined that he recognised it, she said to herself
severely, and had himself seen it put in the van, with a care which he had
never taken for anything of hers. It was only a trifle, but it touched one of
those chords that are ready to jar in the wayward human instrument of
which the best of men and women have so little control. She could not get
that jarring chord to be still; it vibrated all through her, giving an acrid tone
to her voice, and something disagreeable to the smile that came, she could
not tell how, to her lip. All these vibrations were hateful to her, as well as to
the hapless antagonist who noted and divined them with quick responding
indignation. But Mrs. Hayward could not help it, any more than she could
help Joyce perceiving it. The close vicinity into which this little prison of a
railway carriage brought them, so that not a tone or a look could be missed,
was intolerable to the elder woman too. But she knew very well that she
could not run away.
CHAPTER XVII
Colonel Hayward’s house was at Richmond, in one of the most beautiful
spots that could be imagined. It stood on the slope of the hill, and
commanded a view of the winding of the river upward towards
Twickenham: and the grounds about it were exquisite, stretching down to
the Thames, with a long if somewhat narrow sweep of lawn descending to
the very water’s edge. Nothing could be more warm and sheltered, more
perfect in greenness and shade, nothing more bright and sunny than the
combination of fine trees and blossoming undergrowth and elastic velvet
turf, the turf of age, which had been dressed and tended like a child from
before the memory of man, and never put to any rude use. The perfection of
the place was in this lawn and the gardens and grounds, which were the
Colonel’s hobby, and to which he gave all his attention. But the house was
also a very pretty house.
It was not large, and it was rather low: a verandah, almost invisible
under the weight of climbing roses, clematis, honeysuckle, and every kind
of flowering thing, went round the front; and here, looking over the river,
were the summer quarters of the family. Wicker-chairs, some of Indian
origin, little tables of all convenient kinds, Indian rugs in all their subdued
wealth of colour, like moss under the feet, made this open-air apartment
delightful. It combined two kinds of luxury with the daintiest yet most
simple success. If there was a drawback it was only in bad weather, when
the pretty drawing-room behind was by reason of this verandah a little
wanting in light; but no one could think of that in the June weather, when
the sunshine touched everything with pleasantness.
Mrs. Hayward was as proud of the house as the Colonel was of the
garden. After India it cannot be described how delightful it was to them,
both very insular people, to get back to the greenness and comfort of this
English home; and they both watched for the effect it would have upon
Joyce, with highly raised expectations. To bring a girl out of a Scotch
cottage to such a place as this, to open to her all at once, from Peter
Matheson’s kitchen, in which the broth was made and the oatcakes baked,
the glories of that drawing-room, which Mrs. Hayward could scarcely leave
to be tended by a mere housemaid, which she herself pervaded every
morning, giving loving touches everywhere, arranging draperies, altering
the positions of the furniture, laying out those lovely pieces of oriental stuff
and Indian embroideries which, always put carefully away at night, adorned
the sofas and chairs. Though she did not love ‘the girl’ she yet looked
forward to the moment when all this splendour should dawn upon Joyce,
with a feeling half sympathetic, realising the awe and admiration with
which for the first time her untutored eyes must contemplate the beautiful
room, and all the luxury of the place, which to her must look like splendour.
Mrs. Hayward did not pretend that it was splendid—‘our little place’ she
called it, with proud humility; but she knew that it was more perfect than
anything about, and in itself without comparison, a sight to see. That Joyce
would be dazzled, almost overwhelmed, by her sudden introduction into
such a home, she had no manner of doubt. And this anticipation softened
her, and gave her a certain interest in Joyce. She talked to her husband at
night, after their arrival, about his daughter in a more friendly tone than she
had yet employed.
‘I thought of giving her the little west room for herself. She will want a
place to herself to be untidy in—all girls do: a place where she can keep her
work—if she works—or her books: or—whatever she is fond of.’ Mrs.
Hayward had a distinct vision in her eye of a little old-fashioned box—the
ark of the relics which the Colonel had recognised—and made up her mind
that it should be at once endued with a chintz cover, so that it might be
recognisable no more.
‘There is nobody like you, Elizabeth, for kind thoughts,’ he said
gratefully. Then with the same expectation that had softened her, he went on
— ‘She has never been used to anything of the kind. I shouldn’t wonder if it
was too much for her feelings—for she feels strongly, or else I am
mistaken; and she is a girl who—if you once bind her to you by love and
kindness——’ The Colonel’s own voice quivered a little. He was himself
touched by that thought.
‘Don’t speak nonsense, Henry—we know nothing about the girl, neither
you nor I. The thing in her favour is, that all those Scotch friends of yours
thought very well of her: but then the Scotch stick to each other so——’
She has a spirit—and a temper too, I shouldn’t wonder.’
‘No, my dear, it was only a flash, because she thought—because she was
taken by surprise.’
‘I think none the worse of her for having a little temper; I have one
myself,’ said Mrs. Hayward with candour. ‘People like that are far safer
than the sweet yielding ones who show nothing. And another thing—we
shall have to account for her. I don’t know if you have thought of that.’
‘Account for her?’
‘Yes, to be sure. People will be calling—and they will wonder how it
was they never heard of your daughter before. One of the hardest things in
life is, that whenever you are in any society you must explain. That was one
advantage of being in none.’
‘I never liked it, Elizabeth. I always thought you were too particular—as
the event has proved, my dear, as the event has proved!’
Mrs. Hayward withdrew a little from him and his congratulations. Now
that her position was beyond question, she was unwilling in her impatient
soul that any reference should be made to the doubt which had shadowed
her life before. That was all over. She would have had it forgotten for ever,
and in her heart resented his recollection of it. She resumed the previous
subject without taking any notice of this.
‘Fortunately, we don’t know the people here so well that we need go into
it from the beginning and tell everything. I have been thinking it over, and
this is what I shall say—I shall say, Your daughter has been brought up by
some old relations in Scotland, but that we both felt it was time she should
come home. If they say, “O! we did not know Colonel Hayward had any
family,” I shall answer, “Did I never tell you?” as if it had been quite an
accidental oversight. Now don’t go and contradict me, Henry, and say more
than there is any occasion for. Let us both be in one tale.’
‘My dear,’ he said, ‘to think that you should have settled all that while I
was thinking about nothing; but why should we be in a tale at all? Why
shouldn’t I just say simply——’
‘It is such a simple story, isn’t it?’ she cried, ‘that you should have had a
child—an only child, as you said in Bellendean——’
There was a tone of exasperation in this which made Colonel Hayward
look up. He said, ‘But it was quite true, Elizabeth. Providence has not
thought meet to give us——’
‘As if I did not know that!’ cried the woman whom Providence—that
synonym of all that goes against the wishes of humanity—had not permitted
to be a mother. ‘But,’ she added quickly, taking up the thread again, ‘you
will see, if you think of it, that we can’t go into all that story. There would
be so much to explain. And besides, it’s nobody’s business.’
‘Then why say anything at all, my dear?’ the Colonel said.
‘Why know anybody at all, you mean? As if we could avoid explaining a
thing which is a very strange thing, however you take it! Unless you have
anything better to suggest, that is what I shall say. Brought up by some old
relations in Scotland—you can say her mother’s relations if you please; but
that we felt it was not right to leave her there any longer, now we are quite
settled and she is grown up. Don’t contradict me just when I am in the
middle of my story, Henry. Back me up about the relations—unless you
have anything better to suggest.’
Colonel Hayward, however, had nothing to suggest, though he was much
embarrassed by having a story to tell. ‘I’ll forget what it is you want me to
say—or I’ll go too far—or I’ll—make a muddle of it one way or other,’ he
said. ‘I shall feel as if there was something wrong about it, Elizabeth: and
there is nothing wrong—nothing, nothing! all the time.’
‘Go to bed,’ said Mrs. Hayward; ‘you are too tired to begin to think at
this hour. You know the railway always upsets you. Go to bed, my dear—go
to bed.’
‘Well, perhaps it will be the best thing,’ the Colonel said.
They both got up next morning with one pleasant thought in their minds,
that of dazzling Joyce. It took away the line even from Mrs. Hayward’s
brow. It was pleasant to anticipate the astonishment, the admiration, the
deep impression which all these unaccustomed splendours would make.
Poor girl! it would be almost too much for her; and they both wondered
what she would say—whether she would break down altogether in
amazement and rapture—whether it would be by words or tears that she
would show her sense of this wonderful change in her life.
Alas! Joyce had awoke with a pang of disappointment almost as keen as
that which seized her when she was first told that Colonel Hayward was her
father. She woke in a pretty room all dainty and fresh, with pretty paper,
pretty furniture, everything that was most suitable and becoming for the
character and dimensions of the place; and she hurried to the window and
looked out eagerly upon the pretty English lawn so trim and well cared for,
the trees that formed two long lines down to the river, shutting it out from
other enclosures on either side, the brilliant flower-beds near the house, the
clustering climbers that surrounded her window. And the cottage girl felt
her high-vaulting thoughts go down, down, with a disappointment which
made her giddy. Was ever anything so foolish, so wicked, so thankless?
From the little garret in the cottage to this room filled with convenient and
pretty things, of some of which she did not even understand the use—from
the village street of Bellendean, seen through the open door or greenish bad
glass of the cottage windows, to this warm luxurious landscape, and the
silver Thames, and the noble trees! And yet Joyce was disappointed beyond
what words could say.
She had no knowledge of this limited comfortable luxurious littleness;
all that she knew was the cottage life—and Bellendean. There were, to be
sure, the farmers’ houses, and the manse; but neither of these types
resembled this, nor was either consistent with the image of Colonel
Hayward, the Captain’s colonel, the ‘distinguished soldier’ with whose
name Joyce had begun to flatter herself everybody was acquainted. She
stood half dressed and gazed out upon the long but confined stretch of lawn,
and the low gable which was within sight from the window, with dismay. A
chill struck to her heart. She thought of Bellendean, not half so daintily
cared for as this little demesne, with its groups of great trees, its wide
stretches of park, its careless size and greatness. Poor Joyce! had she been
the minister’s daughter at the manse, she might have been dazzled and
delighted, as was expected from her. But she understood nothing of this.
She knew the poor and their ways, and she knew the great people—the
great houses and big parks, the cottages with a but and a ben and a little
kailyard. The one was all-familiar to her—the other was her ideal, the
natural alternative of poverty: but this she knew nothing about—nothing at
all.
She did not understand it. The toil and care which made that lawn like
velvet, perfect, without a weed, elastic, springing under the foot, soft as
moss, and green as constant waterings and mowings could make it, was
totally lost upon Joyce. She saw the two lines of trees and flowering shrubs,
elaborately masking all more arbitrary lines of limitation on each side,
shutting it off—and the sight of those green bonds made her heart turn back
upon herself. Her father had recovered in her mind the greatness necessary
for her ideal: he was a distinguished soldier—what could be better? He was
finer in his fame (she said to herself) than if he had been a prince or a duke.
But his house! She retired from her window and covered her face with her
hands, and went back into the secret citadel of herself with a dismayed
heart. She had never calculated upon this. To be just one among a crowd, to
be nobody in particular, to have suffered this convulsion in her life and
rending asunder of her being, for nothing—to be nobody. And all the time
these two good people were forestalling each other in their anticipations,
making pictures to themselves of Joyce’s transport and delight!
How she got through the ordeal will be best seen in the long letters
which she wrote that evening to her old home.
‘My dearest old Granny, my own real true Mother—I wonder how you
are, and how the day has passed, and how grandfather is, and even the cat,
and everything at home. Oh what a thing it is to go away from your home,
to be taken from the true place you belong to! You will never know how I
felt when it all melted away into the sky, and Bellendean was a thing I
could see no more. Oh my bonnie little Bellendean, where I’ve lived all my
life, and the old ash-tree, and the rose-bushes, and my garret-window where
I could see the Firth, and our kindly table where we ate our porridge and
where I could see you! O Granny, my own Granny, that’s all gone away into
the skies, and the place that has known me knows me no more: and here I
am in a strange place, and I cannot tell whether I’m Joyce still, or if I’m like
the woman in the old song, “and this is no’ me.”
‘Dear Granny, the journey was well enough: it was the best of all. I got a
paper full of pictures (the Graphic, you know it), and they just talked their
own talks, and did not ask me much: and then the country span along past
the carriage-window, towns and castles, and rivers, and fields of corn, and
all the people going about their business and knowing nothing at all of a
poor lassie carried quick, quick away from her home. I pictured to myself
that I might be going away for a governess to make some money for my
grandfather and you—but that would not have been so bad, for I would
have gone back again when I got the money: and then I tried to think I
might be going to take care of somebody, perhaps a brother I might have
had that was ill, and that you would be anxious at home—very anxious—
but not like the present: for he would have begun to get better as soon as I
was there to nurse him, and every day the time would have come nearer for
taking him home. And I tried a great many other things, but none was bad
enough—till I just came back to the truth, that here I was flying far away to
a new life and a new name, and to try and be content and live with new
people that I never saw, and leave all my own behind. Oh, Granny, I am
ungrateful to say this, for they’re very good to me, and my father is kind
and sweet and a real true gentleman: and would be that, as grandfather is, if
he were a ploughman like grandfather: and what could you say more if you
were Shakespeare’s self and had all the words in the world at your
command?
‘We stopped in London, but I could not see at all what like it was, except
just hundreds of railway lines all running into each other, and trains running
this way and that way as if they were mad—but never any harm seemed to
be done, so far as I could see: and then we took another train, and, after a
little while, came here. To tell you about it is very difficult, for it is so
different from anything that ever was before. Do you remember, Granny,
the place where Argyle took Jeanie Deans after she had spoken to the
Queen? where she said it would be fine feeding for the cows, and he just
laughed—for it was the finest view and the most beautiful landscape, with
the Thames running between green banks and big beautiful trees, and boats
upon the river, and the woods all like billows of green leaves upon the brae?
You will cry out when I tell you that this is here, and that the house is on
that very brae, and that I’m looking out over the river, and see it running
into the mist and the distance, going away north—or rather coming down
from the north—where my heart can follow, but farther, farther away. And it
is a very beautiful landscape: you never saw anything to compare to it; but
oh, Granny, I never knew so well before what Sir Walter is and how he
knew the hearts of men, for I’m always thinking what Jeanie said, “I like
just as well to look at the craigs o’Arthur Seat, and the sea coming in ayont
them.” For me, I think of Bellendean and the Firth, and the hills drawing
close round Queen Margaret’s Hope; but chiefly because you are there,
Granny, and all I care for most.
‘I will tell you one thing: my father’s house is not, as we were fond to
think, like Bellendean. The houses here are not great houses like that. I
think they wonder I am not an enthusiast, as Mrs. Bellendean always said I
was, for the things they have here. All the policy,[A] and everything in the
house, is taken care of—as you used to take care of me. I can’t think of any
other image. They are always at them. Mrs. Hayward puts on the things
upon the chairs and the tables with her own hands. The things I mean are
pieces of beautiful silk, sometimes woven in flowers like Mrs. Bellendean’s
grandest gown, sometimes all worked with the needle as they do in India,
fine, fine. I would like to copy some of them: but what would be the use?
for they have them all from India itself, and what I did would be but an
imitation. I am afraid to sit down upon the chairs for fear there should be
some dust upon my gown, and I think I ought to take off my shoes before I
go upon the carpet. You would like to go round and round as if you were in
a collection, and look at everything. It will sometimes be ivory carving, and
sometimes china that is very old and precious, and sometimes embroidery
work, and sometimes silk with gold and silver woven in. And what you will
laugh at, Granny, Mrs. Hayward has plates hung up instead of pictures—
china plates like what you eat your dinner from, only painted in beautiful
colours—and an ashet[B] she has which is blue, and very like what we have
at home. All these things are very pretty—very pretty: but not to me like a
room to live in. Of the three—this house, and Bellendean, and our own little
housie at home—I would rather, of course, have Bellendean, I will not deny
it, Granny; but next I would rather have our own little place, with my table
at the back window, and you aye moving about whatever there was to do.
They are more natural; but I try to look delighted with everything, for to
Mrs. Hayward it is the apple of her eye.
‘She has never had any children.
‘My father is just as fond of his policy and his gardens—(but it’s too
little for a policy, and it’s more than a garden). The gardeners are never
done. They are mowing, or they are watering, or they are sweeping, or they
are weeding, all the long day. And it’s all very bonnie—very bonnie—grass
that is like velvet, and rose-bushes not like our roses at home, but upon a
long stalk, what they call standards, and trees and flowers of kinds that I
cannot name. I will find out about them and I will tell you after. But oh,
Granny, the grand trees are like a hedge to a field; they are separating us
from the garden next door. It is very, very strange—you could not think
how strange—to be in a fine place that is not a place at all, but just a house
with houses next door—not like Bellendean, oh, not like Bellendean—and
not like any kind of dwelling I have seen, so pretty and so well kept, and yet
neither one thing nor another, not poor like us—oh, far from that!—and yet
not great. I am praising it all, and saying everything I can think—and
indeed it’s very pretty, far finer than anything I ever saw: but I think she
sees that I am not doing it from my heart. I wish I could; but oh, Granny
dear, how can I think so much of any place that takes me away from my real
home?
‘My dear, dear love to my grandfather, and tell him I never forget his
bowed head going through the corn, as I saw him last when he did not see
me. To think his good grey head should be bowed because of Joyce, that
never got anything but good from him and you, all her life! Tell me what
they are all saying, and who is to get the school, and if the minister was
angry. What a good thing it was the vacation, and all the bairns away! You
must not be unhappy about me, Granny, for I will do my best, and you can’t
be very miserable when you do that; and perhaps I will get used to it in
time.
‘Good night, and good night, and God be with us all, if not joy, as the
song says.—Always your own and grandfather’s
‘Joyce.’
She wrote at the same time her first letter to Halliday, lingering with the
pen in her hand as if unwilling to begin. She was a little excited by what she
had just written, her outpouring of her heart to her foster-mother. And this
was different. But at last she made the plunge. She dried her eyes, and gave
herself a little shake together, as if to dismiss the lingering emotion, and
began, ‘Dear Andrew’; but then came to another pause. What was in Joyce’s
thoughts? There was a spot of ink on the page, an innocent little blot. She
removed the sheet hastily from the other paper, and thrust it below the
leaves of her blotting-book. Then she took a steel pen, instead of the quill
with which she had been hurrying along the other sheets—a good hard,
unemotional piece of iron, which might make the clean and exact writing
which the schoolmaster loved—and began again: and this time a little
demure mischief was in Joyce’s eyes:—
‘Dear Andrew—We arrived here last night, tired but not worn out, and
came home at once to my father’s house. The journey was very interesting
—to see so many places I had heard of, even if they only flew past the
carriage-windows. Of course it was the train that flew, and not Durham and
Newcastle and all the rest. You have been to London yourself, so you will
not require me to tell you all I saw, and I was thinking a great deal on what I
left behind, so that I did not see them with an easy heart, so as to get the
good of them, as you would do.
‘I wonder if you have ever seen Richmond—it is a beautiful place: the
Thames a quiet river, not like any I know; but I have seen so little. It is like
a picture more than a river, and the trees all in waves of green, one line
above another, rich and quiet, with no wind to blow them about. I thought
upon the poem, “As idle as a painted ship upon a painted ocean:” though
there is neither ship nor ocean, but only the stream that scarcely seems to
flow, and the little boats that scarcely seem to move—everything so warm
and so still. My father’s house is called Rosebank, as you will see by the
printing on the paper. It is rather a foolish name, but it was the name of the
house before they came here. It is the most wonderful place I ever saw, so
carefully kept and beautifully furnished. I never understood before what all
the novels say now about furniture and the pretty things scattered about.
There is a quantity of things in the drawing-room which I should have taken
the children to an exhibition to see, and I should have had to read up a great
deal to explain everything to them. But no one thinks of explaining: they
are just lying about, and no one pays any attention to them here. My father
takes a great interest in the gardens and the grounds, which are beautiful.
And the best thing of all is the view of all the bits of the Thames, and the
beautiful woods.
‘It is a great change, and it makes one feel very unsteady at first, and I
scarcely realise what the life will be, but I must trust that everything will
turn out well: and my father and Mrs. Hayward are very kind. I am to have
a sitting-room to myself to do what I like in, and I am to be taken about to
see everything. You will not expect me to tell you much more at present, for
I don’t know much more, it being only the first day; but I thought you
would like to hear at once. It is a great change. I wonder sometimes if I may
not perhaps wake up to-morrow and find I am at home again and it is all a
dream.
‘I hope you will go and see Granny, when you can, and cheer them a
little. Grandfather is glad of a crack, you know. They will be lonely at first,
being always used to me. I will be very thankful to you, dear Andrew, if you
will see them when you can, and be very kind—but that, I am sure, you will
be. When I think of them sitting alone, and nobody to come in and make
them smile, it just breaks my heart.—Yours affectionately,
‘Joyce Hayward.’
Joyce Hayward—it was the first time she had signed her name. Her eyes
were too full thinking of the old people to see how it looked, but when that
lump had melted a little in her throat, and she had dried her eyes, turning
hastily aside that no drop might fall upon the fair page and blot the nice and
careful writing, Joyce looked at it, and again there came upon her face a
faint little smile. Joyce Hayward—it did not look amiss. And it was a
beautifully written letter, not a t but was crossed, not an i but was dotted.
She had resisted all temptations to abridge the ‘affectionately.’ There it
stood, fully written out in all its long syllables. That would please Andrew.
When she had put up her letters, she rose from her seat and looked out once
more, softly pushing aside the carefully drawn curtains, upon the landscape
sleeping in the soft summer haze of starlight and night. All so still—no
whisper of the sea near, no thrill of the north wind—a serene motionless
stretch of lawn and river and shadowy trees. It was a lovely scene, but it
saddened Joyce, who felt the soft dusk fill her soul and fold over all her life.
And thus ended her first day in her father’s house.
CHAPTER XVIII
Joyce was sadly uncertain what to do or how to behave herself in her new
home. She took possession of the room which was given to her as a sitting-
room, with a confused sense that she was meant to remain there, which was
half a relief and half a trouble to her. To live there all alone except when she
was called to meals was dreadfully dreary, although it felt almost a pleasure
for the first moment to be alone. She brought out her writing things, which
were of a very humble description, and better suited to the back window in
the cottage than to the pretty writing-table upon which she now arranged
them,—a large old blotting-book, distended with the many exercises and
school-papers it had been accustomed to hold, and a shabby rosewood desk,
which she had got several years ago as the prize of one of her examinations.
How shabby they looked, quite out of place, unfit to be brought into this
beautiful house! Joyce paused a moment to wonder whether she herself was
as much out of place in her brown frock, which, though it was made like
Greta’s, and so simple and quiet that it could not be vulgar, was yet a dress
very suitable for the schoolmistress. She brought down her few books, some
of which were prizes too, and still more deplorable in their cheap gilding
than the simply shabby ones. Nobody could say that the bindings were not
vulgar, although it was Milton, and Wordsworth, and Coleridge, and the Lay
of the Last Minstrel that were within. She made a row of them in the pretty
bookshelves, and they looked like common people intruding into a fine
house, as she herself was doing. Common people! Milton and Wordsworth!
That showed how little was told by the outside; and Joyce was not without a
proud consciousness swelling in her breast that she, too, in her brown frock,
and with her village schoolmistress’s traditions, was not common or
unworthy.
Her father had met her coming downstairs with her arms full of the
books, and had stopped to take them from her with a shocked look, and
insisted on carrying them down for her. ‘But why didn’t you ring for
somebody to do it, my dear?’ he said. ‘They are not heavy,’ said Joyce;
‘they are no trouble,—and I always do things for myself.’ ‘But you must not
here,’ Colonel Hayward said, putting them down on the table, and pausing a
moment to brush off with his handkerchief the little stains of dust which
they had left on his irreproachable coat. Joyce felt that little movement with
another keen sensation of inappropriateness. It was not right, because she
was unaccustomed to being served by others, that Colonel Hayward, a
distinguished soldier, should get specks of dust on his coat. A hot blush
enveloped her like a flame, while she stood looking at him, not knowing
whether to say anything, whether to try to express the distress and
bewilderment that filled her being, or if it would be better to be silent and
mutely avoid such an occurrence again.
He looked up at her when he had brushed away the last speck, and
smiled. ‘Books will gather dust,’ he said. ‘Don’t look as if you were to
blame, my dear. But you must remember, Joyce, you are the young lady of
the house, and everything in it is at your command.’ He patted her shoulder,
with a very kind encouraging look, as he went away. It was a large
assurance to give, and probably Mrs. Hayward would not have said quite so
much; but it left Joyce in a state of indescribable emotion, her heart deeply
touched, but her mind distracted with the impossibilities of her new
position. How was she to know what to do? To avoid giving trouble, to save
herself, was not the rule she could abide by when it ended in specking with
dust the Colonel’s coat, and bringing him out of his own occupations to
help her. Joyce sat down when she had arranged her books, and tried to
thread her way through all this maze which bewildered her. She had nothing
to do, and she thought she was intended to spend her life here, to sit alone
and occupy herself. It was very kindly meant, she was sure, so as to leave
her at her ease; and she was glad to have this refuge, not to be always in
Mrs. Hayward’s way, sitting stiffly in the drawing-room waiting to be
spoken to. Oh yes; she was glad to be here: yet she looked about the room
with eyes a little forlorn.
It was a nice little room, with a large window looking out upon the
flower-garden, and it was, so far as Joyce knew, very prettily furnished, but
without the luxuries and decorations of the other rooms. There were no
pictures, but a little standing frame or two on the mantelpiece, no doubt
intended for those endless photographs of friends which she had seen in
Greta’s room at Bellendean, always the first things taken out of her boxes
when her belongings were unpacked. But Joyce had few friends. She had a
little rude picture on glass, shut up in a little case, of old Peter and Janet, the
old woman in her big bonnet and shawl, her husband, all one broad smile,
looking over her shoulder—very dear to Joyce, but not to be exposed on the
mantelpiece for Mrs. Hayward’s quick look of criticism. Joyce felt that
Greta in a moment would make that room her own. She would bring down
her photographs; she would throw down her work, which never was done,
with all the pretty silks about. She would spread out her paper and her pens,
and the letters she had received and those she had begun to write, upon the
table where Joyce’s big old blotting-book lay, and the rosewood desk,
closed and looking like an ugly oblong box as it was—long, bare, and
miserable; but none of all these things could Joyce do. She had no work,
and no photographs of her friends, and no letters, and nothing to do—
nothing to do! And was this how she was to spend her life?
She sat there until the bell rang for lunch, saying to herself that it was far
better than being in the drawing-room in Mrs. Hayward’s way; and then she
went timidly out into the hall, where her father was standing, just come in
from some supervision in the garden. ‘I have had a busy morning,’ he said,
beaming upon her, ‘and so I suppose have you, my dear; but we’ll soon
settle down. Mrs. Hayward——’ here he paused with a little uneasiness,
and after a moment resumed—‘your mother—has been very busy too.
There is always a great deal to do after one has been away.’
‘Considering that I was only away four days,’ said Mrs. Hayward,
coming in from the other side, and leading the way to the dining-room.
Joyce could not help feeling stiff and awkward as she followed, and hastily
got into her seat before the butler could come behind and push forward the
chair. She was a little afraid of him hovering behind, and wondered if he
knew.
‘I hope you like your room,’ Mrs. Hayward said. ‘It is small, but I think
it is nice; and, Baker, remember to let down the sun-blinds before the
afternoon sun gets in. Miss Hayward will not like to find it all in a blaze.
That is the worst of a western aspect. Henry, some invitations have come
——’
‘Ah!’ said the Colonel, ‘we have more to consider now than we used to
have, Elizabeth. There is Joyce to be thought of——’
‘Oh,’ Joyce cried, growing very red, ‘I hope you will not think of me!’
‘For some things, of course, we must consider her, Henry,’ said Mrs.
Hayward, taking no notice of Joyce’s hurried exclamation. ‘There are
nothing but garden-parties all about, and she must go to some of them. It
will be the best way of making her known.’
‘You always think of the right thing, my dear,’ the Colonel said.
‘But when it is for dinner, Henry, until people know her, Joyce will not
mind, she will stay at home.’
‘I wish,’ said Joyce, with a horrified alarm—‘oh, I wish you would never
think of me! I would not like—I could not think, I—I would be afraid to go
to parties—I——’
‘My dear,’ said Colonel Hayward, ‘perhaps there may be—dressmakers
to think of—or something of that sort.’
‘I think you may trust me to look after that,’ said Mrs. Hayward, with a
glance at Baker, who was listening with benignant interest. Joyce had a
keen enough feminine sense to know that Baker was not to be taken into the
confidence of the family; and accordingly she made no further interruption,
but allowed the conversation to go on without attempting to take any part in
it. She heard them discuss names which were without any meaning to her,
and kept shyly, and, as she felt, stiffly still, endeavouring with all her might
to look as if she knew nothing at all about it, as if it did not at all refer to her
—which went sadly against her with her step-mother, who was eagerly on
the outlook for indications of character, and to whom Joyce’s apparent
indifference was an offence—though she would probably have been equally
offended had the girl shown too much interest. When Baker left the room,
Mrs. Hayward turned to her again.
‘The Colonel was quite right,’ she said; ‘though I didn’t wish to discuss
it before the servants. You must want some dresses. You are very nice as
you are for indoors, but there is a great deal of dress now worn at garden-
parties. And what is called a simple toilet is just the most troublesome of
all. For it has to be so fresh and so perfect, not a crumpled ribbon, not a fold
out of order. You must go with me to choose some patterns.’
Joyce coloured high again. She felt offended, proud—and yet knew she
had no right to be either. ‘If I may speak,’ she said, ‘I never thought of
parties. I would perhaps not know—how to behave. Oh, if you will be so
kind as never to mind me! I will stay at home.’
Colonel Hayward put out his hand with his tender smile, and patted hers
where it touched the table. ‘You will behave prettier—than any of them,’
the old soldier said.
‘Oh, don’t put nonsense in the girl’s head, Henry!’ cried his wife with
impatience. ‘You may very likely be wanting a little, Joyce. You may feel
awkward: it would be quite natural. The only thing is, you must begin some
time—and the best way is to get your awkwardness over as soon as
possible. Afternoon parties are more informal than dances, and so forth.
They don’t demand so much, and you could pass in the crowd.’
Though Joyce had been frightened at the idea of parties, and though it
was her own suggestion that she would not know how to behave, she did
not like this. It sent the blood coursing through her veins. To pass in a
crowd—to be tolerated where much was not demanded! How different was
this from the old dreams in which Lady Joyce had been supreme! But these
were but dreams, and she was ashamed to have ever been so vain. She stole
away, while they stood in the hall discussing this question, with a sense of
humiliation unspeakable, and retreated so quickly that her disappearance
was not remarked, back to the west room once more. She shut the door
upon herself, and said half aloud in the silence and solitude, how good a
thing it was that they had given her this room of her own in which she could
take shelter, and be in nobody’s way: and then for want of anything else to
do, she fell suddenly, without warning, into a long fit of crying, tears
irrestrainable, silent, overwhelming, that seemed as if they would carry her
away.
Poor Joyce felt that her fate was harder than she could bear—to be
carried away from her homely state, in which she had been accustomed to
something of the ideal eminence of her dreams, into this, which was
supposed by everybody to be social elevation, and was humiliation,
downfall—a fall into depths which she had never realised, which had never
seemed possible for her. She cried like a child, feeling no power, nor indeed
any wish, to stop crying, in a hopeless self-abandonment. Altogether, she
was like a child, feeling herself lost, undervalued, neglected, and as if all
the rest of the world were happy and in their natural places, while she was
left here in a little room by herself all alone. And to add to the humiliation,
Baker came in, soft, stepping like a large noiseless black cat, to put down
the blinds, as his mistress had told him, and found her in the midst of that
speechless torrent of weeping, unable to stop herself or to keep up
appearances in any way. ‘Oh, I beg your pardon, Miss Hayward,’ Baker
said, in subdued apology, shot with a glance of eager curiosity and
inquisitiveness: for he wanted very much to know something about this
daughter who had appeared so suddenly, and of whom no one had ever
heard before. Joyce started up to her feet, and hurrying to the bookcase,
took out all the books again in order to give herself a countenance. She
turned her back upon him, but he could see very well the quivering of her
shoulders, which all her pride and dismay at having betrayed herself could
not stop.
This curious state of affairs continued for two or three days. Joyce
withdrew to her room when the meals were over, at which she was
nervously on the watch for anything that might be said concerning her and
her mode of existence. It was the third or fourth day before anything was
said. Then Mrs. Hayward stopped her as she was stealing away, and laid a
hand upon her shoulder. ‘Joyce, wait for a moment; let me speak to you. I
am not going to interfere with what you wish: but do you really like best to
spend all your time alone?’
‘I thought,’ said Joyce, with a choking voice, for her heart had suddenly
begun to thump so in her throat that she could scarcely hear,— ‘I thought—
that I was to stay there: that perhaps you thought it best.’
‘How could you think I was such a barbarous wretch! Joyce, if you mean
to make life a fight——’
The girl opened her eyes wide with wonder and dismay.
‘That is not what you meant to say, Elizabeth,’ said the Colonel, coming
up to them: his wife had thought he was out of the way, and made a little
gesture of impatience on seeing him.
‘Don’t interfere, for heaven’s sake, Henry! unless you will manage
affairs yourself, which would be much the best way. You make things much
more difficult for me, as perhaps you are aware, Joyce.’
‘No; I did not know. I thought when you said I should have a room—for
myself——’
‘That I meant you to live there like a prisoner in your father’s house? Are
you aware that you are in your father’s house?’
Joyce turned her eyes from one to the other with a mute appeal. Then she
said, ‘Yes,’ faintly, not with the vehemence of her former impulses. ‘If she
had been patient and not run away,’ she added, with a little solemnity, after
a pause, ‘it would not have been so unhappy for us all. I would at least have
known—my father.’
‘You see that?’ cried Mrs. Hayward, though she did not understand why
these words were said. ‘Then you have some common-sense after all, and
surely you will get to understand.’
‘Why do you say that, Joyce—why do you say that?’ said the Colonel,
laying his hand upon her arm. He was growing very pale and anxious,
nervous and frightened, distinguished soldier as he was, by this sudden
outburst of hostilities. To see two armies engaged is one thing, but it is quite
another to see two women under your own roof——’ Joyce, you must not
say that,’ he repeated, leaning his hand, which she could feel tremble, upon
her arm; ‘you must listen to what Elizabeth—I mean, to what your mother
says.’
‘Don’t call me her mother, Henry. She doesn’t like it, and I am not sure
that I do either. But we might be friends for all that—so long as she has
sense—— Don’t you see, child, that we can’t live if you go on in this way?
It is getting on my nerves!’ cried Mrs. Hayward with excitement, ‘and upon
his nerves, and affecting the whole house. Why should you like to shut
yourself up as if we were your enemies, and upset everybody? I can’t settle
to anything. I can’t sleep. I don’t know what I am doing. And how you can
like——’
‘But I do not like it,’ said Joyce. ‘I did not think I could bear it any
longer: everything is so strange to me. I used to think I would know by
instinct; but it appears I was very silly all the time—for I don’t think I know
how to behave.’
Joyce hated herself for feeling so near crying: why should a girl cry at
everything when she does not wish to cry at all? The same thought was
flying through Mrs. Hayward’s mind, who had actually dropped one hot and
heavy tear, which she hoped no one saw. She put up her hand hastily to stop
the Colonel, who was about to make one of those speeches which would
have given the finishing touch.
‘Then,’ she said, ‘run and get your work, if you have any work, or your
book, or whatever you are doing, and come to the drawing-room like a
Christian: for we should all go out of our senses altogether if we went on
much longer in this way.’
The Colonel patted his daughter’s arm and hastened to open the door for
her like an old courtier. ‘I told you,’ he said, ‘turning round to his wife, ‘that
as soon as you spoke to her, Elizabeth, she would respond. You are a little
hasty, my dear, though never with me. I knew that as soon as she saw what
a heart you have——’
‘Oh, never mind my heart, Henry! Don’t talk to Joyce about my heart. I
think she has a little common-sense. And if that’s so, we shall get on.’
And then Joyce began to spend all her time in the drawing-room, sadly
ill at ease, not knowing what to do. She sat there sounding the depths of her
own ignorance, often for hours together, as much alone as when in the west
room, feeling herself to sit like a wooden figure in her chair, conscious to
her finger-tips of awkwardness, foolishness, vacancy, which had never
come into her life before. She had no needlework to give her a pretence of
occupation: and as for books, those that were about on the tables were not
intended to be read, except the novels from Mudie’s, which had this
disadvantage, that when they were readable at all, Joyce got absorbed in
them, and forgot herself, and would sometimes forget Mrs. Hayward too.
She had a feeling that she should be at Mrs. Hayward’s disposal while they
were together, so that this lapse occurring now and then, filled her with
compunction and shame. But when visitors came, that was the worst of all.
CHAPTER XIX
On one of these mornings the Colonel came to her almost stealthily, with a
very soft step, while she was in the drawing-room alone. Joyce had no book
that morning, and was more in despair than ever for something to do. She
was kneeling in front of one of the pretty pieces of Indian work, copying the
pattern on a sheet of paper. When she heard her father’s step, she started as
if found out in some act of guilt, grew very red, and dropped her pencil out
of her trembling hand.
‘I beg your pardon,’ she said involuntarily. ‘I—had nothing to do. It is a
wonderful pattern. I thought I should like to copy it——’
‘Surely, my dear—and very prettily you have done it too; but you must
try to recollect that everything is yours, and that you have no need to ask
pardon. I want you to come with me into my library. I believe you have
never seen my library, Joyce.’
No, she had not been able to take the freedom either of a child of the
house or of an ordinary visitor. She was afraid to go anywhere beyond the
ordinary thoroughfare, from dining-room to drawing-room. ‘I saw an open
door,’ she said, ‘and some books.’
‘But you did not come in? Come now. I have something to say to you.’
There was a look in the old soldier’s eye of unlawful pleasure, a
gratification enhanced by the danger of being found out, and perhaps
suffering for it. He led Joyce away with the glee of a truant schoolboy. ‘My
wife is busy,’ he said, with an air of innocent hypocrisy. ‘She can’t want
either of us for the moment. Come in, come in. And, my dear,’ he said,
putting again his caressing hand upon his daughter’s shoulder, ‘remember,
that when I am not in the garden, I’m here: and when you have anything to
say to your father, I’m always ready—always ready. I hope you will learn—
to take your father into your confidence, Joyce.’
She did not make any reply; her head drooped, and her voice was
choked. He was so kind—and yet confidence was so hard a thing to give.
‘That reminds me,’ he said, still more gently, ‘that I don’t think you ever
call me father, Joyce.’
‘Oh,’ she said, not daring to lift her eyes, ‘but I think it—in my heart.’
‘You must say it—with your lips, my dear; and you must not be afraid of
the people who are nearest to you in the world. You must have confidence
in us, Joyce. And now look here, my little girl; I have something to give you
—not any pretty thing for a present,’ said the Colonel, sitting down before
his desk and pulling out a drawer, ‘but something we can’t get on without. I
got it for you in this form that you might use it as you please; remember it is
not for clothes but only for your own pleasure, to do what you like with.’
He held out to her, with the most fatherly kind smile, four crisp and clean
five-pound notes. Joyce looked at them bewildered, not knowing what they
were, and then gave a choking cry, and drew back, covering her face with
her hands.
‘Money!’ she cried, and a pang of mortification went through her like the
sharp stab of a knife.
‘Well, my dear, you must have money, and who should give it you but
your father? Joyce! why, this is worse and worse.’ The Colonel grew angry
in his complete bewilderment, and the disagreeable sensation of kindness
refused. ‘What can you mean?’ he cried; ‘am I to have nothing to do with
you though you are my daughter?’ He got up from his chair impatiently. ‘I
thought you would like it to be between ourselves. I made a little secret of
it, thinking to please you. No; I confess that I don’t understand you, Joyce:
if Elizabeth were here, I should tell her so.’ He flung down the notes upon
his table, where they lay fluttering in the morning breeze that came in at the
open window. ‘She must do what she can, for I don’t pretend to be able to
do anything,’ the Colonel cried.
Joyce stood before him, collecting herself, calming down her own
excitement as best she could. She said to herself that he was quite right—
that it would have to be—that she had no independent life or plan of her
own any more—that she must accept everything from her father’s hands.
What right had she either to refuse or to resent? How foolish it was, how
miserable, ungenerous of her, not to be able to take! Must it not sometimes
be more gracious, more sweet to take, to receive, than to give? And yet to
accept this from one who was almost a stranger though her father, seemed
impossible, and made her whole being, body and soul, quiver with that
sensation of the intolerable in which there is neither rhyme nor reason.
Though she was so young, she had provided for her own necessities for
years. They were very few, and her little salary was very small; but she had
done it, giving rather than getting—for naturally there was nothing to spare
from Peter Matheson’s ploughman’s wages. She stood shrinking a little
from her father’s displeasure—so unused to anything of the kind!—but with
all these thoughts sweeping through the mind, which was only a girl’s mind,
in many ways wayward and fantastic, but yet at bottom a clear spirit, candid
and reasonable. This would have to be. She must accept the money, she who
had been so independent. She must learn how to live, that tremendous
lesson, in the manner possible to her, not in her own way. Once more she
thought of her mother obeying her foolish impulse, flying from her troubles
—only to fall fatally under them, and to leave their heritage to her daughter.
It did not require a moment to bring all these reflections in a flood through
her mind, nor even to touch her with the thought of her father’s little tender
artifice, and of how he had calculated no doubt that she would have
presents to send, help to offer—or, at least, pleasure to bestow. Perhaps her
imagination put thoughts even more delicate and kind into the Colonel’s
mind than those which were there—which was saying much. She recovered
her voice with a great effort.
‘Father——’ she said, then paused again, struggling with something in
her throat,— ‘I hope you will forgive me. I—never took money—from any
one—before——’
‘You never had your father before to give it you, Joyce.’ A little word
calmed down the Colonel’s superficial resentment. It did more, it went
straight to his heart. He came up to her and put his arm round her. ‘My
child,’ he said, in the words of the parable, ’"all that I have is thine.” You
forget that.’
‘Father, if I could only feel that you were mine. It is all wrong—all
wrong!’ cried Joyce. ‘It is like what the Bible says; I want to be born again.’
The Colonel did not know what to say to this, which seemed to him
almost profane; but he did better than speaking—he held her close to him,
and patted her shoulder softly with his large tender hand.
‘And I will, I will,’ said Joyce, with a Scotch confusion of tenses, ‘if you
will have a little patience with me. It cannot come all in a moment; but I
will, I will.’
‘We’ll all have patience,’ said the Colonel, stooping over her, feeling in
his general weakness, and with even a passing sigh for Elizabeth going
through his mind, that it was sweet to have the positions reversed
sometimes, and to feel somebody depend upon him, and appeal to his
superior wisdom.
At this moment Mrs. Hayward opened the door of her husband’s room
quickly, coming in with natural freedom. She stopped ’as if she had been
shot’ when she saw this group—Joyce sheltered in her father’s arm, leaning
against him. She made a rapid exclamation, ‘Oh!’ and turning as quickly as
she had come, closed the door after her with a quick clear sound which said
more than words. She did not slam it—far from that. She would not have
done such a thing, neither for her own sake, nor out of regard for what the
servants would say: but she shut it sharply, distinctly, with a punctuation
which was more emphatic than any full stop could be.
In the afternoon there were callers, and Joyce became aware, for the first
time, of the social difficulties of her position. She heard the words, ‘brought
up by relations in Scotland,’ as she went through the drawing-room to the
verandah where the visitors were sitting with Mrs. Hayward. Joyce did not
apply the words to herself, but she perceived a little stir of interest when she
appeared timidly at the glass door. The lady was a little woman, precise and
neat, with an indescribable air of modest importance, yet insignificance,
which Joyce learned afterwards to understand, and the gentleman was in a
long black coat, with a soft felt hat in his hands. Eyes more instructed
would have divined the clergyman and clergywoman of the district, not
rector and rectoress, but simple incumbents. They rose up to meet her, and
shook hands in a marked way, as ‘taking an interest’ in a new member of
their little cure; but Joyce, unaccustomed, did not understand the meaning
of this warmth. It disconcerted her a little, and so did the conversation into
which Mr. Sitwell at once began to draw her, while his wife conversed in a
lower tone with the lady of the house. He talked to her of the river and
boating, of which she knew nothing, and then of lawn-tennis, to which her
response was not more warm. The good clergyman thought that perhaps the
game had not penetrated to the wilds of Scotland, and changed the subject.
‘We are going to have our children’s treat next week,’ he said. ‘It would
be very kind of you to come and help my wife, who has everything to
manage. Our district is but a new one—we have not much aid as yet. Do
you take any interest in schools, Miss Hayward?’
‘Oh yes, a great interest,’ cried Joyce, lighting up, ‘that is just my——’
she was going to say profession, having a high opinion of the dignity of her
former office: but before the word was said she caught a warning glance
from Mrs. Hayward—‘it is what I care most for in the world,’ she said, with
a sudden blush of shame to feel herself stopped in that avowal of
enthusiasm for the work itself.
‘Indeed!’ cried the clergyman. ‘Do you hear, Dora? here is a help for
you. Miss Hayward says that schools are what she cares most for in the
world.’
‘Joyce says a little more than she means,’ said Mrs. Hayward quickly.
‘Young ladies have a way of being enthusiastic.’
‘Don’t damp it, please!’ cried Mrs. Sitwell, clasping her hands;
‘enthusiasm is so beautiful in young people: and there is so little of it. Oh,
how delighted I shall be to have your help! The district is so new—as my
husband would tell you.’
‘Of course I have enlisted Miss Hayward at once,’ cried he. ‘She is going
to help at the school feast.’
‘Oh, thank you, THANK you,’ cried the clergyman’s wife, with devotion,
once more clasping her hands.
Mrs. Hayward’s voice was more dry than ever—there was a sharp ring in
it, which Joyce had begun to know. ‘You must let her give you an answer
later,’ she said. ‘She doesn’t know her engagements yet. We have several
things to do. When must I send in the cakes, Mrs. Sitwell? We always
calculate, you know, on helping in that way.’
‘You are always so kind, dear Mrs. Hayward, so kind! How can we ever
thank you enough!’ said the clergywoman. ‘Always kind,’ her husband
echoed, with an impressive shake of Mrs. Hayward’s hand, and afterwards
of Joyce’s, who was confused by so much feeling. Her step-mother was
drier still as they went away.
‘I must ask you, just at first, to make no engagements without consulting
me,’ she said very rigidly. ‘You cannot know—at first—what it is best for
your own interests to do.’
Should she say that she had made no engagements, and wished for none?
It is hard not to defend one’s self when one is blamed. But Joyce took the
wiser way, and assented without explanations. She had scarcely time to do
more when other people came—people more important, as was at once
evident—a large lady in black satin and lace, a younger, slimmer one in
white. They filled the verandah, which was not very broad, with the sweep
of their draperies. They both gave a little glance of surprise when Miss
Hayward was presented to them, and the elder lady permitted herself an ‘Oh
——!’ She retired to the end of the verandah, where Mrs. Hayward had
installed herself. ‘I never knew before that you had a grown-up daughter. I
always thought, indeed, that there were no——’
‘My husband’s daughter by his first marriage,’ said Mrs. Hayward. ‘She
has never lived at home. In India, you know, children can never be kept
with their parents.’
‘It is a dreadful drawback. I am so glad my girls will have nothing to say
to Indian men.’
The lady in white had begun to talk to Joyce, but the girl’s ears were
intent on the other conversation which she felt to concern herself. She made
vague replies, not knowing what she said, the two voices in the distance
drawing all her attention from the one more near.
‘So she had to be left with relations—quite old-fashioned people—and
she is very simple, and knows very little of the world.’
‘The less the better,’ said the visitor, whose name Joyce had not caught;
and then there was a pause, and the young lady’s voice became more
audible, close to her ear.
‘Brought up in Scotland? Oh, I hope you are not one of the learned
ladies. Don’t they go in tremendously for education in Scotland?’ her visitor
said.
‘They say our Scotch schools are the best,’ said Joyce sedately, with a
mixture of national and professional pride.
‘Oh yes, so everybody says; you are taught everything. I know Scotland
a little: everybody goes there in the autumn, don’t you know? I wonder if I
have been in your part of the country? Papa has a moor whenever he can
afford it. And we have quantities of Scotch cousins all over the place.’
‘It was near Edinburgh,’ said Joyce, with a little hesitation.
‘Yes? I have been at several places near Edinburgh,’ said the young lady.
‘Craigmoor where the Sinclairs live, for one. They are relations of ours.
And there is another house, a very nice house close by, Bellendean. I
suppose you know the Bellendeans.’
The colour rushed over Joyce’s face. She remembered her difficulties no
more. The very sound of the name filled her with pleasure and
encouragement.
‘Bellendean!’ she said; ‘oh, indeed, I know Bellendean! I know it better
than any place in the world. And I know the lady—oh, better than any one.
And would it be Miss Greta that was your cousin——?’ Joyce’s
countenance shone. She forgot all about those bewildering explanations
which she had overheard: and about herself, whose presence had to be
accounted for. For a moment her natural ease and unconsciousness came
back, and she felt herself Joyce again.
Mrs. Hayward rose suddenly from her chair. She, too, had been listening,
through her own conversation, to the other voices. She made a step forward
— ‘So you know the Bellendeans,’ she said, with an agitated smile. ‘We
have just been staying there, and can give you the latest news of them. What
a small world it is, as everybody says! I only heard of them for the first time
when we went to fetch Joyce: and now I find my nearest neighbours know
all about them! Joyce, will you ask if Baker is bringing tea?’
Lady St. Clair and her daughter gave each other a glance of mutual
inquiry. And Joyce, as she obeyed, with a curious pang of wonder and
pleasure and annoyance, heard the discussion begin, the interchange of
questions mingled with remarks about her friends, the names so dear to her
passing from mouth to mouth. She was sent away who knew all about them,
while her stepmother, who knew so little, talked, adopting an air of
familiarity. Why was she sent away? Then she remembered suddenly on
what a humble footing she could alone claim knowledge of the
Bellendeans, and divined with a shock of sudden pain that it was to stop any
revelations on that subject that she had been despatched on this unnecessary
errand. Joyce paused in the luxurious room, which seemed somehow to
absorb all the air and leave none to breathe. Oh for the freedom of
Bellendean, where everybody knew who she was and thought no harm! Oh
for the little cottage, where there were no pretences! The great and the small
were easy, they understood each other; but this middle country, all full of
reserves and assumptions which lay between, how was an ignorant creature
to learn how to live in it, to avoid the snares and keep clear of the pitfalls,
not to contradict or expose the falsehoods, and yet to be herself true?
Mrs. Hayward, on her side, sitting painfully talking as if she knew all
about these people, whom she thought she hated, so much were they
involved with this painful episode of her life, was no more happy than
Joyce. To think that her neighbours, the best people about, those whose
friendship was most desirable, should be mixed up with the Bellendeans,
who knew everything! So that now her skilful little romance must fall to the
ground, and all the story be fully known.
CHAPTER XX
The discussions held upon this question in the Colonel’s room were many.
Mrs. Hayward had kept herself for many years out of society, rejecting it all
the more sternly because she loved it and held all its little punctilios dear.
And now that all necessity for such self-denial was over, to have everything
risked again was terrible to her. She who had so carefully kept her husband
from annoyance, in this matter departed from all her traditions. The good
Colonel himself was fond of society too. He liked to know people, to gather
kindly faces about him, and to be surrounded by a cheerful stir of human
interests; but to tell the truth, he did not care very much about Lady St.
Clair and the best people in the neighbourhood. It was seldom—very
seldom—that it occurred to him to criticise his Elizabeth; but on this point
he thought her a little mistaken, and not so infallible as she usually was.
‘Have patience a little, my dear,’ he said, falling upon a simple
philosophy, which, indeed, he was not at all disposed himself to put in
practice, ‘and you’ll see all will come right.’
‘Nothing will come right,’ said Mrs. Hayward, ‘unless we can get your
daughter properly introduced. It alters everything in our position, Henry. We
were settling down to society such as suits you and me; but that will not do
now. The moment there is a young lady in the house all is changed. She
must be thought of. A different kind of entertainment is wanted for a girl. I
ought to take her to balls, and to water-parties, and to all sorts of gaieties.
You would not like her to be left out.’
‘Well, my dear,’ said the Colonel, more cheerfully, ‘I like young faces,
and I don’t object to a little dance now and then. I always, indeed,
encouraged the young fellows in the regiment——’
‘If it were giving a dance that was all!—you may be sure I shouldn’t
come to you about that. There is a great deal involved that is of much more
importance. If it all gets abroad about your daughter, everything will suffer
—she in the first place. It will be like a governess—every one respects a
governess——’
‘Surely, my dear. A good girl who perhaps does it to help her family, or
support her old mother, or——’
‘Henry, my dear, you are very old-fashioned. But however good she may
be, she is always at a disadvantage. It would be bad for us too. Colonel
Hayward’s daughter a governess! They would say you were either less well
off than you appeared, or that you had used her badly, or that I had used her
badly—still more likely.’
‘But when we did not know of her very existence, Elizabeth!’
‘How are you to tell people that? The best thing is to keep quite quiet
about it, if we only can. But now here is this new complication. These
Bellendean people will talk it all over with the St. Clairs, and the St. Clairs
will publish it everywhere. And people will be sorry for her, and pick her to
pieces, and say it is easy to see she is unused to our world; they will be
sorry for her for being with me, or else be sorry for me for being burdened
with her.’
‘Elizabeth——’
‘And the worst is,’ she said vehemently, ‘that it will be quite true on both
sides. She will be to be pitied, and I shall be to be pitied. If only these
friends of hers could be kept quiet! If only she could be dressed properly,
and taught to hold her tongue and say nothing about her past!’
The Colonel got up and began to walk about the room in great
perturbation of spirit. He could not say, as he had been in the habit of
saying, ‘If Elizabeth were but here!’ for it was Elizabeth herself—
extraordinary fact!—who was the cause of the trouble. Social difficulties
had not affected them till now; and what could he do or suggest in face of
an emergency which was too much for Elizabeth? The poor gentleman was
without resource, and he had a faint sense of injury, a feeling that he had
never expected to be consulted or to have to advise in such a matter. All the
difficulties in their way of a personal character had been Elizabeth’s
business, not his. He walked about with a troubled brow, a face full of
distress,—what could he do or say? It was almost cruel of her to consult
him, to put matters which he had never pretended to be able to manage into
his hands.
Mrs. Hayward, on her side, felt a faint gleam of alleviation in the midst
of the gloom from the spectacle of the Colonel’s perturbation. It was his
affair after all, and he had the best right to suffer; and though she expected
no help from him, there was a certain satisfaction and almost diversion in
the depth of his helpless distress. They were, however, brought to a sudden
standstill, which was a relief to both, by a ring at the door-bell, a very
unusual thing in the morning. The clouds dispersed from Mrs. Hayward’s
brow. She put up her hand instinctively to her cap. Agitation of any kind,
though it may seem a remarkable effect, does derange one’s cap, as
everybody who wears such a head-dress knows. ‘It can’t be any one coming
to call at this hour,’ she said. ‘It must be some of your men intending to stay
for lunch.’
A weight was lifted off the Colonel’s mind by this resumption of
ordinary tones and subjects. He was always glad to see one of ‘his men,’ as
Mrs. Hayward called them, to lunch, being of the most hospitable
disposition; and it was his experience that the presence of a stranger was
always perfectly efficacious in blowing away clouds that might arise on the
family firmament. Besides, in the strained condition of family affairs, a
third, or rather fourth party, who knew nothing about the circumstances,
could not but make that meal more cheerful. They stood and listened for a
moment while some one was evidently admitted, with some surprise that
Baker did not appear to announce the visitor. Presently, however, the door
was opened with that mixture of swiftness and hesitation which was
characteristic of Joyce, and she herself looked in, more awakened and with
a brighter countenance than either of the pair had yet seen in her. Her
shyness had disappeared in the excitement of a pleasant surprise; her cheeks
had got a little colour; the eager air which had struck Colonel Hayward
when he first saw her, but which of late had been so much subdued, had
returned to her eyes and sensitive mouth. ‘Oh, it’s the Captain!’ she said,
with a sense of the importance of the announcement, as if she had been
presenting the Prince of Wales at least, which changed the entire sentiment
of her face. Mrs. Hayward had never before seen the natural Joyce as she
was in the humility of her early undisturbed state. She acknowledged the
charm of the girl with a keen little sudden pang of that appreciation and
comprehension of jealousy, which is more clear-sighted and certain than
love.
‘The Captain!’ she said, not quite aware who was meant, yet putting on
an air of more ignorance than was genuine.
‘Oh, Bellendean!’ cried the Colonel, going forward with cordiality. ‘My
dear fellow, how glad I am to see you! You’ve got away, then, from all your
anxious friends. Elizabeth, you remember Captain Bellendean?’
‘I am not likely to have forgotten him,’ Mrs. Hayward said graciously,
yet with a meaning which perhaps was not so gracious as her speech. And
there darted through her mind, as is so usual with women, a question, a
calculation. Was it for Joyce? Men are so silly; who can tell how they may
be influenced? There flashed through her a gleam of delight at the thought
of thus getting rid of the interloper, and at the same time an angry grudge
that this girl, who seemed to have all the luck, should come to such honour,
and be thus set on high above so many who were her betters. All this in the
twinkling of an eye. She stood for a minute or two and talked, asking the
proper questions about his family, and when he came to town, and how long
he meant to stay; then left the visitor with her husband, and hastened to say
something about the luncheon to Baker, who on his part was lingering
outside with a message from the cook. To those who feel an interest in such
matters, we may say that Mrs. Hayward, when one of the Colonel’s men
made his appearance unexpectedly for luncheon, generally added a dish of
curry, for which her cook was noted (the men being almost all old Indians),
to that meal.
When she returned to the drawing-room, Joyce was there, still with the
same look of exhilaration and liveliness. She was even the first to speak—a
singular circumstance. ‘I hope,’ she said, ‘I was not wrong in taking the
Captain to the library. I thought, as you were not here, he would like that
better than just talking to me.’
Was this false humility? or affectation? or what was it? ‘You were quite
right, no doubt; for it must have been your father he came to see,’ said Mrs.
Hayward, with a quick glance. She was prepared to see a conscious smile
upon Joyce’s mouth, the little air of demure triumph with which a girl who
knows herself the object of such a visit acquiesces in the fact that it is for
her father. But no such consciousness was upon Joyce’s countenance. ‘You
seem to be very much pleased to see him,’ she continued. ‘And why do you
call him the Captain, as if there were not another in the world?’
Joyce paused a little before she answered. ‘I think,’ she said, ‘that the
people at Bellendean did think there was not another such Captain in the
world.’
‘And you are glad to see him—because you know him so well? because
he reminds you of your old life?’
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Signal processing noise 1st Edition Vyacheslav Tuzlukov

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  • 5. Signal processing noise 1st Edition Vyacheslav Tuzlukov Digital Instant Download Author(s): VyacheslavTuzlukov ISBN(s): 9780849310256, 0849310253 Edition: 1 File Details: PDF, 5.26 MB Year: 2002 Language: english
  • 8. THE ELECTRICAL ENGINEERING AND APPLIED SIGNAL PROCESSING SERIES Edited by Alexander Poularikas The Advanced Signal Processing Handbook: Theory and Implementation for Radar, Sonar, and Medical Imaging Real-Time Systems Stergios Stergiopoulos The Transform and Data Compression Handbook K.R. Rao and P.C. Yip Handbook of Multisensor Data Fusion David Hall and James Llinas Handbook of Neural Network Signal Processing Yu Hen Hu and Jenq-Neng Hwang Handbook of Antennas in Wireless Communications Lal Chand Godara Noise Reduction in Speech Applications Gillian M. Davis Signal Processing Noise Vyacheslav P. Tuzlukov Forthcoming Titles Propagation Data Handbook for Wireless Communications Robert Crane The Digital Color Imaging Handbook Guarav Sharma Applications in Time Frequency Signal Processing Antonia Papandreou-Suppappola Digital Signal Processing with Examples in MATLAB® Samuel Stearns Smart Antennas Lal Chand Godara Pattern Recognition in Speech and Language Processing Wu Chou and Bing Huang Juang Nonlinear Signal and Image Processing: Theory, Methods, and Applications Kenneth Barner and Gonzalo R. Arce © 2002 by CRC Press LLC
  • 9. CRC PR ESS Boca Raton London New York Washington, D.C. SIGNAL PROCESSING NOISE Vyacheslav P. Tuzlukov THE ELECTRICAL ENGINEERING AND APPLIED SIGNAL PROCESSING SERIES
  • 10. This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable efforts have been made to publish reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials or for the consequences of their use. Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage or retrieval system, without prior permission in writing from the publisher. The consent of CRC Press LLC does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific permission must be obtained in writing from CRC Press LLC for such copying. Direct all inquiries to CRC Press LLC, 2000 N.W. Corporate Blvd., Boca Raton, Florida 33431. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation, without intent to infringe. Visit the CRC Press Web site at www.crcpress.com © 2002 by CRC Press LLC No claim to original U.S. Government works International Standard Book Number 0-8493-1025-3 Library of Congress Card Number 2002017487 Printed in the United States of America 1 2 3 4 5 6 7 8 9 0 Printed on acid-free paper Library of Congress Cataloging-in-Publication Data Tuzlukov, V. P. (Viacheslav Petrovich) Signal processing noise / Vyacheslav P. Tuzlukov. p. cm. — (The electrical engineering and applied signal processing series) Includes bibliographical references and index. ISBN 0-8493-1025-3 (alk. paper) 1. Signal processing—Digital techniques. 2. Electronic noise—Prevention. 3. Noise control. I. Title. II. Series. TK5102.9 .T88 2002 621.382′24—dc21 2002017487 1025 disclaimer Page 1 Friday, March 22, 2002 8:06 AM © 2002 by CRC Press LLC
  • 11. To the undying memory of Dr. Peter G. Tuzlukov, my dear father and teacher © 2002 by CRC Press LLC
  • 12. Preface The performance of complex signal processing systems is limited by the addi- tive and multiplicative noise present in the communication channel through which the information signal is transmitted. Multiplicative noise is distortion in the amplitude and phase structure of the information signal. Multiplicative noise can occur in the generation, trans- mission, and processing of the information signal. The main characteristics of complex signal processing systems that are used, for example, in radar, communications, wireless communications, mobile communications, sonar, acoustics, underwater signal processing, remote sensing, navigation systems, geophysical signal processing, and biomedical signal processing, deteriorate as a result of the effect of multiplicative noise. The impact of multiplicative noise on the main characteristics of complex signal processing systems in var- ious areas of signal processing is great in those cases in which complex signal processing systems use signals with complex phase structure, for example, frequency-modulated signals, phase-modulated signals, and so on, or when complex signal processing systems use signal processing of coherent signals of large duration. In recent years the problems of signal processing that result from the com- bined stimulus of additive Gaussian noise and multiplicative noise are of great interest for systems that deploy complex signal processing and coher- ent signal processing. In this book we discuss the following problems: • The main statistical characteristics of multiplicative noise • The main statistical characteristics of the signals distorted by multiplica- tive noise • The main statistical characteristics of the process at the output of linear systems impacted by multiplicative noise • The main principles of the generalized approach to signal processing in additive Gaussian noise and multiplicative noise • The main statistical characteristics of the signal at the output of the gen- eralized detector impacted by multiplicative noise • Impact of multiplicative noise on the detection performances of the sig- nals that are processed by the generalized detector, on the estimation of measurement of the signal parameters, and on the signal resolution © 2002 by CRC Press LLC
  • 13. As a starting point, in Chapter 1 we discuss the main concepts of proba- bility and statistics upon which all results and all conclusions in this book are based. The main results and conclusions discussed in this book are based on the generalized approach to signal processing in the presence of additive Gaussian noise and multiplicative noise. This is based on a seemingly abstract idea: the introduction of an additional noise source (that does not carry any information about the signal) in order to improve the qualitative performance of complex signal processing systems. Theoretical and experimental studies carried out by the author lead to the conclusion that the proposed general- ized approach to signal processing impacted by additive Gaussian noise and multiplicative noise allows us to formulate a decision-making rule based on the determination of the jointly sufficient statistics of the mean and variance of the likelihood function (or functional). Classical and modern signal processing theories allow us to define only the sufficient statistic of the mean of the like- lihood function (or functional). Additional information about the statistical characteristics of the likelihood function (or functional) leads to better quality signal detection in compared with the optimal signal detection algorithms of classical and modern theories. The generalized approach to signal processing in the presence of additive Gaussian noise and multiplicative noise allows us to extend the well-known boundaries of the potential noise immunity set by classical and modern signal detectiontheories.Employingcomplexsignalprocessingsystemsconstructed on the basis of the generalized approach to signal processing in the presence of additive Gaussian noise and multiplicative noise allows us to obtain better detection of signals with noise components present compared with complex signal processing systems that are constructed on the basis of classical and modern theories. The optimal and asymptotic signal detection algorithms (of classical and modern theories), for signals with amplitude-frequency-phase structure characteristics that can be known and unknown a priori, are the components of the signal detection algorithms that are designed on the ba- sis of the generalized approach to signal detection theory.The problems dis- cussed in this book show that it is possible to raise the upper boundary of the potential noise immunity for any complex signal processing system in- cluding signal processing systems with associated noise immunity defined by classical and modern signal detection theories. To better understand the fundamental statements and concepts of the gen- eralized approach to signal processing in the presence of additive Gaussian noise and multiplicative noise the reader should consult my two earlier books: Signal Processing in Noise: A New Methodology (IEC, Minsk, 1998) and Signal Detection Theory (Springer-Verlag, New York, 2001). I am extremely grateful to my colleagues in the field of signal processing for very useful discussion about the main results, in particular, Prof. V. Ignatov, Prof. A. Kolyada, Prof. I. Malevich, Prof. G. Manshin, Prof. V. Marakhovsky, Prof. B. Levin, Prof. D. Johnson, Prof. B. Bogner, Prof. Yu. Sedyshev, © 2002 by CRC Press LLC
  • 14. Prof. J. Schroeder, Prof. Yu. Shinakov, Prof. V. Varshavsky, Prof. A. Kara, Prof. X. R. Lee, Prof. Y. Bar-Shalom, Dr. V. Kuzkin, Dr. A. Dubey, and Dr. O. Drummond. I thank my colleagues at the University of Aizu, Japan, for very valuable discussion about the main statements and concepts of the book. I especially thank my dear mother, Natali Tuzlukova, and my lovely wife, Elena Tuzlukova, for their understanding, endless patience, and tremendous support during the course of my work on this book. I also wish to express my life-long, heartfelt gratitude to Dr. Peter G. Tuzlukov, my father and teacher, who introduced me to science. Vyacheslav P. Tuzlukov © 2002 by CRC Press LLC
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  • 16. Hayward divined at the first glance must contain the little relics of the mother, of itself a pitiful little object enough. There had not been a word said on the subject, but the Colonel had been startled by the sight of it. He had recognised it, or imagined that he recognised it, she said to herself severely, and had himself seen it put in the van, with a care which he had never taken for anything of hers. It was only a trifle, but it touched one of those chords that are ready to jar in the wayward human instrument of which the best of men and women have so little control. She could not get that jarring chord to be still; it vibrated all through her, giving an acrid tone to her voice, and something disagreeable to the smile that came, she could not tell how, to her lip. All these vibrations were hateful to her, as well as to the hapless antagonist who noted and divined them with quick responding indignation. But Mrs. Hayward could not help it, any more than she could help Joyce perceiving it. The close vicinity into which this little prison of a railway carriage brought them, so that not a tone or a look could be missed, was intolerable to the elder woman too. But she knew very well that she could not run away.
  • 17. CHAPTER XVII Colonel Hayward’s house was at Richmond, in one of the most beautiful spots that could be imagined. It stood on the slope of the hill, and commanded a view of the winding of the river upward towards Twickenham: and the grounds about it were exquisite, stretching down to the Thames, with a long if somewhat narrow sweep of lawn descending to the very water’s edge. Nothing could be more warm and sheltered, more perfect in greenness and shade, nothing more bright and sunny than the combination of fine trees and blossoming undergrowth and elastic velvet turf, the turf of age, which had been dressed and tended like a child from before the memory of man, and never put to any rude use. The perfection of the place was in this lawn and the gardens and grounds, which were the Colonel’s hobby, and to which he gave all his attention. But the house was also a very pretty house. It was not large, and it was rather low: a verandah, almost invisible under the weight of climbing roses, clematis, honeysuckle, and every kind of flowering thing, went round the front; and here, looking over the river, were the summer quarters of the family. Wicker-chairs, some of Indian origin, little tables of all convenient kinds, Indian rugs in all their subdued wealth of colour, like moss under the feet, made this open-air apartment delightful. It combined two kinds of luxury with the daintiest yet most simple success. If there was a drawback it was only in bad weather, when the pretty drawing-room behind was by reason of this verandah a little wanting in light; but no one could think of that in the June weather, when the sunshine touched everything with pleasantness. Mrs. Hayward was as proud of the house as the Colonel was of the garden. After India it cannot be described how delightful it was to them, both very insular people, to get back to the greenness and comfort of this English home; and they both watched for the effect it would have upon Joyce, with highly raised expectations. To bring a girl out of a Scotch cottage to such a place as this, to open to her all at once, from Peter Matheson’s kitchen, in which the broth was made and the oatcakes baked, the glories of that drawing-room, which Mrs. Hayward could scarcely leave to be tended by a mere housemaid, which she herself pervaded every
  • 18. morning, giving loving touches everywhere, arranging draperies, altering the positions of the furniture, laying out those lovely pieces of oriental stuff and Indian embroideries which, always put carefully away at night, adorned the sofas and chairs. Though she did not love ‘the girl’ she yet looked forward to the moment when all this splendour should dawn upon Joyce, with a feeling half sympathetic, realising the awe and admiration with which for the first time her untutored eyes must contemplate the beautiful room, and all the luxury of the place, which to her must look like splendour. Mrs. Hayward did not pretend that it was splendid—‘our little place’ she called it, with proud humility; but she knew that it was more perfect than anything about, and in itself without comparison, a sight to see. That Joyce would be dazzled, almost overwhelmed, by her sudden introduction into such a home, she had no manner of doubt. And this anticipation softened her, and gave her a certain interest in Joyce. She talked to her husband at night, after their arrival, about his daughter in a more friendly tone than she had yet employed. ‘I thought of giving her the little west room for herself. She will want a place to herself to be untidy in—all girls do: a place where she can keep her work—if she works—or her books: or—whatever she is fond of.’ Mrs. Hayward had a distinct vision in her eye of a little old-fashioned box—the ark of the relics which the Colonel had recognised—and made up her mind that it should be at once endued with a chintz cover, so that it might be recognisable no more. ‘There is nobody like you, Elizabeth, for kind thoughts,’ he said gratefully. Then with the same expectation that had softened her, he went on — ‘She has never been used to anything of the kind. I shouldn’t wonder if it was too much for her feelings—for she feels strongly, or else I am mistaken; and she is a girl who—if you once bind her to you by love and kindness——’ The Colonel’s own voice quivered a little. He was himself touched by that thought. ‘Don’t speak nonsense, Henry—we know nothing about the girl, neither you nor I. The thing in her favour is, that all those Scotch friends of yours thought very well of her: but then the Scotch stick to each other so——’ She has a spirit—and a temper too, I shouldn’t wonder.’ ‘No, my dear, it was only a flash, because she thought—because she was taken by surprise.’
  • 19. ‘I think none the worse of her for having a little temper; I have one myself,’ said Mrs. Hayward with candour. ‘People like that are far safer than the sweet yielding ones who show nothing. And another thing—we shall have to account for her. I don’t know if you have thought of that.’ ‘Account for her?’ ‘Yes, to be sure. People will be calling—and they will wonder how it was they never heard of your daughter before. One of the hardest things in life is, that whenever you are in any society you must explain. That was one advantage of being in none.’ ‘I never liked it, Elizabeth. I always thought you were too particular—as the event has proved, my dear, as the event has proved!’ Mrs. Hayward withdrew a little from him and his congratulations. Now that her position was beyond question, she was unwilling in her impatient soul that any reference should be made to the doubt which had shadowed her life before. That was all over. She would have had it forgotten for ever, and in her heart resented his recollection of it. She resumed the previous subject without taking any notice of this. ‘Fortunately, we don’t know the people here so well that we need go into it from the beginning and tell everything. I have been thinking it over, and this is what I shall say—I shall say, Your daughter has been brought up by some old relations in Scotland, but that we both felt it was time she should come home. If they say, “O! we did not know Colonel Hayward had any family,” I shall answer, “Did I never tell you?” as if it had been quite an accidental oversight. Now don’t go and contradict me, Henry, and say more than there is any occasion for. Let us both be in one tale.’ ‘My dear,’ he said, ‘to think that you should have settled all that while I was thinking about nothing; but why should we be in a tale at all? Why shouldn’t I just say simply——’ ‘It is such a simple story, isn’t it?’ she cried, ‘that you should have had a child—an only child, as you said in Bellendean——’ There was a tone of exasperation in this which made Colonel Hayward look up. He said, ‘But it was quite true, Elizabeth. Providence has not thought meet to give us——’ ‘As if I did not know that!’ cried the woman whom Providence—that synonym of all that goes against the wishes of humanity—had not permitted to be a mother. ‘But,’ she added quickly, taking up the thread again, ‘you
  • 20. will see, if you think of it, that we can’t go into all that story. There would be so much to explain. And besides, it’s nobody’s business.’ ‘Then why say anything at all, my dear?’ the Colonel said. ‘Why know anybody at all, you mean? As if we could avoid explaining a thing which is a very strange thing, however you take it! Unless you have anything better to suggest, that is what I shall say. Brought up by some old relations in Scotland—you can say her mother’s relations if you please; but that we felt it was not right to leave her there any longer, now we are quite settled and she is grown up. Don’t contradict me just when I am in the middle of my story, Henry. Back me up about the relations—unless you have anything better to suggest.’ Colonel Hayward, however, had nothing to suggest, though he was much embarrassed by having a story to tell. ‘I’ll forget what it is you want me to say—or I’ll go too far—or I’ll—make a muddle of it one way or other,’ he said. ‘I shall feel as if there was something wrong about it, Elizabeth: and there is nothing wrong—nothing, nothing! all the time.’ ‘Go to bed,’ said Mrs. Hayward; ‘you are too tired to begin to think at this hour. You know the railway always upsets you. Go to bed, my dear—go to bed.’ ‘Well, perhaps it will be the best thing,’ the Colonel said. They both got up next morning with one pleasant thought in their minds, that of dazzling Joyce. It took away the line even from Mrs. Hayward’s brow. It was pleasant to anticipate the astonishment, the admiration, the deep impression which all these unaccustomed splendours would make. Poor girl! it would be almost too much for her; and they both wondered what she would say—whether she would break down altogether in amazement and rapture—whether it would be by words or tears that she would show her sense of this wonderful change in her life. Alas! Joyce had awoke with a pang of disappointment almost as keen as that which seized her when she was first told that Colonel Hayward was her father. She woke in a pretty room all dainty and fresh, with pretty paper, pretty furniture, everything that was most suitable and becoming for the character and dimensions of the place; and she hurried to the window and looked out eagerly upon the pretty English lawn so trim and well cared for, the trees that formed two long lines down to the river, shutting it out from other enclosures on either side, the brilliant flower-beds near the house, the
  • 21. clustering climbers that surrounded her window. And the cottage girl felt her high-vaulting thoughts go down, down, with a disappointment which made her giddy. Was ever anything so foolish, so wicked, so thankless? From the little garret in the cottage to this room filled with convenient and pretty things, of some of which she did not even understand the use—from the village street of Bellendean, seen through the open door or greenish bad glass of the cottage windows, to this warm luxurious landscape, and the silver Thames, and the noble trees! And yet Joyce was disappointed beyond what words could say. She had no knowledge of this limited comfortable luxurious littleness; all that she knew was the cottage life—and Bellendean. There were, to be sure, the farmers’ houses, and the manse; but neither of these types resembled this, nor was either consistent with the image of Colonel Hayward, the Captain’s colonel, the ‘distinguished soldier’ with whose name Joyce had begun to flatter herself everybody was acquainted. She stood half dressed and gazed out upon the long but confined stretch of lawn, and the low gable which was within sight from the window, with dismay. A chill struck to her heart. She thought of Bellendean, not half so daintily cared for as this little demesne, with its groups of great trees, its wide stretches of park, its careless size and greatness. Poor Joyce! had she been the minister’s daughter at the manse, she might have been dazzled and delighted, as was expected from her. But she understood nothing of this. She knew the poor and their ways, and she knew the great people—the great houses and big parks, the cottages with a but and a ben and a little kailyard. The one was all-familiar to her—the other was her ideal, the natural alternative of poverty: but this she knew nothing about—nothing at all. She did not understand it. The toil and care which made that lawn like velvet, perfect, without a weed, elastic, springing under the foot, soft as moss, and green as constant waterings and mowings could make it, was totally lost upon Joyce. She saw the two lines of trees and flowering shrubs, elaborately masking all more arbitrary lines of limitation on each side, shutting it off—and the sight of those green bonds made her heart turn back upon herself. Her father had recovered in her mind the greatness necessary for her ideal: he was a distinguished soldier—what could be better? He was finer in his fame (she said to herself) than if he had been a prince or a duke. But his house! She retired from her window and covered her face with her
  • 22. hands, and went back into the secret citadel of herself with a dismayed heart. She had never calculated upon this. To be just one among a crowd, to be nobody in particular, to have suffered this convulsion in her life and rending asunder of her being, for nothing—to be nobody. And all the time these two good people were forestalling each other in their anticipations, making pictures to themselves of Joyce’s transport and delight! How she got through the ordeal will be best seen in the long letters which she wrote that evening to her old home. ‘My dearest old Granny, my own real true Mother—I wonder how you are, and how the day has passed, and how grandfather is, and even the cat, and everything at home. Oh what a thing it is to go away from your home, to be taken from the true place you belong to! You will never know how I felt when it all melted away into the sky, and Bellendean was a thing I could see no more. Oh my bonnie little Bellendean, where I’ve lived all my life, and the old ash-tree, and the rose-bushes, and my garret-window where I could see the Firth, and our kindly table where we ate our porridge and where I could see you! O Granny, my own Granny, that’s all gone away into the skies, and the place that has known me knows me no more: and here I am in a strange place, and I cannot tell whether I’m Joyce still, or if I’m like the woman in the old song, “and this is no’ me.” ‘Dear Granny, the journey was well enough: it was the best of all. I got a paper full of pictures (the Graphic, you know it), and they just talked their own talks, and did not ask me much: and then the country span along past the carriage-window, towns and castles, and rivers, and fields of corn, and all the people going about their business and knowing nothing at all of a poor lassie carried quick, quick away from her home. I pictured to myself that I might be going away for a governess to make some money for my grandfather and you—but that would not have been so bad, for I would have gone back again when I got the money: and then I tried to think I might be going to take care of somebody, perhaps a brother I might have had that was ill, and that you would be anxious at home—very anxious— but not like the present: for he would have begun to get better as soon as I was there to nurse him, and every day the time would have come nearer for taking him home. And I tried a great many other things, but none was bad enough—till I just came back to the truth, that here I was flying far away to
  • 23. a new life and a new name, and to try and be content and live with new people that I never saw, and leave all my own behind. Oh, Granny, I am ungrateful to say this, for they’re very good to me, and my father is kind and sweet and a real true gentleman: and would be that, as grandfather is, if he were a ploughman like grandfather: and what could you say more if you were Shakespeare’s self and had all the words in the world at your command? ‘We stopped in London, but I could not see at all what like it was, except just hundreds of railway lines all running into each other, and trains running this way and that way as if they were mad—but never any harm seemed to be done, so far as I could see: and then we took another train, and, after a little while, came here. To tell you about it is very difficult, for it is so different from anything that ever was before. Do you remember, Granny, the place where Argyle took Jeanie Deans after she had spoken to the Queen? where she said it would be fine feeding for the cows, and he just laughed—for it was the finest view and the most beautiful landscape, with the Thames running between green banks and big beautiful trees, and boats upon the river, and the woods all like billows of green leaves upon the brae? You will cry out when I tell you that this is here, and that the house is on that very brae, and that I’m looking out over the river, and see it running into the mist and the distance, going away north—or rather coming down from the north—where my heart can follow, but farther, farther away. And it is a very beautiful landscape: you never saw anything to compare to it; but oh, Granny, I never knew so well before what Sir Walter is and how he knew the hearts of men, for I’m always thinking what Jeanie said, “I like just as well to look at the craigs o’Arthur Seat, and the sea coming in ayont them.” For me, I think of Bellendean and the Firth, and the hills drawing close round Queen Margaret’s Hope; but chiefly because you are there, Granny, and all I care for most. ‘I will tell you one thing: my father’s house is not, as we were fond to think, like Bellendean. The houses here are not great houses like that. I think they wonder I am not an enthusiast, as Mrs. Bellendean always said I was, for the things they have here. All the policy,[A] and everything in the house, is taken care of—as you used to take care of me. I can’t think of any other image. They are always at them. Mrs. Hayward puts on the things upon the chairs and the tables with her own hands. The things I mean are pieces of beautiful silk, sometimes woven in flowers like Mrs. Bellendean’s
  • 24. grandest gown, sometimes all worked with the needle as they do in India, fine, fine. I would like to copy some of them: but what would be the use? for they have them all from India itself, and what I did would be but an imitation. I am afraid to sit down upon the chairs for fear there should be some dust upon my gown, and I think I ought to take off my shoes before I go upon the carpet. You would like to go round and round as if you were in a collection, and look at everything. It will sometimes be ivory carving, and sometimes china that is very old and precious, and sometimes embroidery work, and sometimes silk with gold and silver woven in. And what you will laugh at, Granny, Mrs. Hayward has plates hung up instead of pictures— china plates like what you eat your dinner from, only painted in beautiful colours—and an ashet[B] she has which is blue, and very like what we have at home. All these things are very pretty—very pretty: but not to me like a room to live in. Of the three—this house, and Bellendean, and our own little housie at home—I would rather, of course, have Bellendean, I will not deny it, Granny; but next I would rather have our own little place, with my table at the back window, and you aye moving about whatever there was to do. They are more natural; but I try to look delighted with everything, for to Mrs. Hayward it is the apple of her eye. ‘She has never had any children. ‘My father is just as fond of his policy and his gardens—(but it’s too little for a policy, and it’s more than a garden). The gardeners are never done. They are mowing, or they are watering, or they are sweeping, or they are weeding, all the long day. And it’s all very bonnie—very bonnie—grass that is like velvet, and rose-bushes not like our roses at home, but upon a long stalk, what they call standards, and trees and flowers of kinds that I cannot name. I will find out about them and I will tell you after. But oh, Granny, the grand trees are like a hedge to a field; they are separating us from the garden next door. It is very, very strange—you could not think how strange—to be in a fine place that is not a place at all, but just a house with houses next door—not like Bellendean, oh, not like Bellendean—and not like any kind of dwelling I have seen, so pretty and so well kept, and yet neither one thing nor another, not poor like us—oh, far from that!—and yet not great. I am praising it all, and saying everything I can think—and indeed it’s very pretty, far finer than anything I ever saw: but I think she sees that I am not doing it from my heart. I wish I could; but oh, Granny
  • 25. dear, how can I think so much of any place that takes me away from my real home?
  • 26. ‘My dear, dear love to my grandfather, and tell him I never forget his bowed head going through the corn, as I saw him last when he did not see me. To think his good grey head should be bowed because of Joyce, that never got anything but good from him and you, all her life! Tell me what they are all saying, and who is to get the school, and if the minister was angry. What a good thing it was the vacation, and all the bairns away! You must not be unhappy about me, Granny, for I will do my best, and you can’t be very miserable when you do that; and perhaps I will get used to it in time. ‘Good night, and good night, and God be with us all, if not joy, as the song says.—Always your own and grandfather’s ‘Joyce.’ She wrote at the same time her first letter to Halliday, lingering with the pen in her hand as if unwilling to begin. She was a little excited by what she had just written, her outpouring of her heart to her foster-mother. And this was different. But at last she made the plunge. She dried her eyes, and gave herself a little shake together, as if to dismiss the lingering emotion, and began, ‘Dear Andrew’; but then came to another pause. What was in Joyce’s thoughts? There was a spot of ink on the page, an innocent little blot. She removed the sheet hastily from the other paper, and thrust it below the leaves of her blotting-book. Then she took a steel pen, instead of the quill with which she had been hurrying along the other sheets—a good hard, unemotional piece of iron, which might make the clean and exact writing which the schoolmaster loved—and began again: and this time a little demure mischief was in Joyce’s eyes:— ‘Dear Andrew—We arrived here last night, tired but not worn out, and came home at once to my father’s house. The journey was very interesting —to see so many places I had heard of, even if they only flew past the carriage-windows. Of course it was the train that flew, and not Durham and Newcastle and all the rest. You have been to London yourself, so you will not require me to tell you all I saw, and I was thinking a great deal on what I left behind, so that I did not see them with an easy heart, so as to get the good of them, as you would do. ‘I wonder if you have ever seen Richmond—it is a beautiful place: the Thames a quiet river, not like any I know; but I have seen so little. It is like
  • 27. a picture more than a river, and the trees all in waves of green, one line above another, rich and quiet, with no wind to blow them about. I thought upon the poem, “As idle as a painted ship upon a painted ocean:” though there is neither ship nor ocean, but only the stream that scarcely seems to flow, and the little boats that scarcely seem to move—everything so warm and so still. My father’s house is called Rosebank, as you will see by the printing on the paper. It is rather a foolish name, but it was the name of the house before they came here. It is the most wonderful place I ever saw, so carefully kept and beautifully furnished. I never understood before what all the novels say now about furniture and the pretty things scattered about. There is a quantity of things in the drawing-room which I should have taken the children to an exhibition to see, and I should have had to read up a great deal to explain everything to them. But no one thinks of explaining: they are just lying about, and no one pays any attention to them here. My father takes a great interest in the gardens and the grounds, which are beautiful. And the best thing of all is the view of all the bits of the Thames, and the beautiful woods. ‘It is a great change, and it makes one feel very unsteady at first, and I scarcely realise what the life will be, but I must trust that everything will turn out well: and my father and Mrs. Hayward are very kind. I am to have a sitting-room to myself to do what I like in, and I am to be taken about to see everything. You will not expect me to tell you much more at present, for I don’t know much more, it being only the first day; but I thought you would like to hear at once. It is a great change. I wonder sometimes if I may not perhaps wake up to-morrow and find I am at home again and it is all a dream. ‘I hope you will go and see Granny, when you can, and cheer them a little. Grandfather is glad of a crack, you know. They will be lonely at first, being always used to me. I will be very thankful to you, dear Andrew, if you will see them when you can, and be very kind—but that, I am sure, you will be. When I think of them sitting alone, and nobody to come in and make them smile, it just breaks my heart.—Yours affectionately, ‘Joyce Hayward.’ Joyce Hayward—it was the first time she had signed her name. Her eyes were too full thinking of the old people to see how it looked, but when that lump had melted a little in her throat, and she had dried her eyes, turning
  • 28. hastily aside that no drop might fall upon the fair page and blot the nice and careful writing, Joyce looked at it, and again there came upon her face a faint little smile. Joyce Hayward—it did not look amiss. And it was a beautifully written letter, not a t but was crossed, not an i but was dotted. She had resisted all temptations to abridge the ‘affectionately.’ There it stood, fully written out in all its long syllables. That would please Andrew. When she had put up her letters, she rose from her seat and looked out once more, softly pushing aside the carefully drawn curtains, upon the landscape sleeping in the soft summer haze of starlight and night. All so still—no whisper of the sea near, no thrill of the north wind—a serene motionless stretch of lawn and river and shadowy trees. It was a lovely scene, but it saddened Joyce, who felt the soft dusk fill her soul and fold over all her life. And thus ended her first day in her father’s house.
  • 29. CHAPTER XVIII Joyce was sadly uncertain what to do or how to behave herself in her new home. She took possession of the room which was given to her as a sitting- room, with a confused sense that she was meant to remain there, which was half a relief and half a trouble to her. To live there all alone except when she was called to meals was dreadfully dreary, although it felt almost a pleasure for the first moment to be alone. She brought out her writing things, which were of a very humble description, and better suited to the back window in the cottage than to the pretty writing-table upon which she now arranged them,—a large old blotting-book, distended with the many exercises and school-papers it had been accustomed to hold, and a shabby rosewood desk, which she had got several years ago as the prize of one of her examinations. How shabby they looked, quite out of place, unfit to be brought into this beautiful house! Joyce paused a moment to wonder whether she herself was as much out of place in her brown frock, which, though it was made like Greta’s, and so simple and quiet that it could not be vulgar, was yet a dress very suitable for the schoolmistress. She brought down her few books, some of which were prizes too, and still more deplorable in their cheap gilding than the simply shabby ones. Nobody could say that the bindings were not vulgar, although it was Milton, and Wordsworth, and Coleridge, and the Lay of the Last Minstrel that were within. She made a row of them in the pretty bookshelves, and they looked like common people intruding into a fine house, as she herself was doing. Common people! Milton and Wordsworth! That showed how little was told by the outside; and Joyce was not without a proud consciousness swelling in her breast that she, too, in her brown frock, and with her village schoolmistress’s traditions, was not common or unworthy. Her father had met her coming downstairs with her arms full of the books, and had stopped to take them from her with a shocked look, and insisted on carrying them down for her. ‘But why didn’t you ring for somebody to do it, my dear?’ he said. ‘They are not heavy,’ said Joyce; ‘they are no trouble,—and I always do things for myself.’ ‘But you must not here,’ Colonel Hayward said, putting them down on the table, and pausing a moment to brush off with his handkerchief the little stains of dust which
  • 30. they had left on his irreproachable coat. Joyce felt that little movement with another keen sensation of inappropriateness. It was not right, because she was unaccustomed to being served by others, that Colonel Hayward, a distinguished soldier, should get specks of dust on his coat. A hot blush enveloped her like a flame, while she stood looking at him, not knowing whether to say anything, whether to try to express the distress and bewilderment that filled her being, or if it would be better to be silent and mutely avoid such an occurrence again. He looked up at her when he had brushed away the last speck, and smiled. ‘Books will gather dust,’ he said. ‘Don’t look as if you were to blame, my dear. But you must remember, Joyce, you are the young lady of the house, and everything in it is at your command.’ He patted her shoulder, with a very kind encouraging look, as he went away. It was a large assurance to give, and probably Mrs. Hayward would not have said quite so much; but it left Joyce in a state of indescribable emotion, her heart deeply touched, but her mind distracted with the impossibilities of her new position. How was she to know what to do? To avoid giving trouble, to save herself, was not the rule she could abide by when it ended in specking with dust the Colonel’s coat, and bringing him out of his own occupations to help her. Joyce sat down when she had arranged her books, and tried to thread her way through all this maze which bewildered her. She had nothing to do, and she thought she was intended to spend her life here, to sit alone and occupy herself. It was very kindly meant, she was sure, so as to leave her at her ease; and she was glad to have this refuge, not to be always in Mrs. Hayward’s way, sitting stiffly in the drawing-room waiting to be spoken to. Oh yes; she was glad to be here: yet she looked about the room with eyes a little forlorn. It was a nice little room, with a large window looking out upon the flower-garden, and it was, so far as Joyce knew, very prettily furnished, but without the luxuries and decorations of the other rooms. There were no pictures, but a little standing frame or two on the mantelpiece, no doubt intended for those endless photographs of friends which she had seen in Greta’s room at Bellendean, always the first things taken out of her boxes when her belongings were unpacked. But Joyce had few friends. She had a little rude picture on glass, shut up in a little case, of old Peter and Janet, the old woman in her big bonnet and shawl, her husband, all one broad smile, looking over her shoulder—very dear to Joyce, but not to be exposed on the
  • 31. mantelpiece for Mrs. Hayward’s quick look of criticism. Joyce felt that Greta in a moment would make that room her own. She would bring down her photographs; she would throw down her work, which never was done, with all the pretty silks about. She would spread out her paper and her pens, and the letters she had received and those she had begun to write, upon the table where Joyce’s big old blotting-book lay, and the rosewood desk, closed and looking like an ugly oblong box as it was—long, bare, and miserable; but none of all these things could Joyce do. She had no work, and no photographs of her friends, and no letters, and nothing to do— nothing to do! And was this how she was to spend her life? She sat there until the bell rang for lunch, saying to herself that it was far better than being in the drawing-room in Mrs. Hayward’s way; and then she went timidly out into the hall, where her father was standing, just come in from some supervision in the garden. ‘I have had a busy morning,’ he said, beaming upon her, ‘and so I suppose have you, my dear; but we’ll soon settle down. Mrs. Hayward——’ here he paused with a little uneasiness, and after a moment resumed—‘your mother—has been very busy too. There is always a great deal to do after one has been away.’ ‘Considering that I was only away four days,’ said Mrs. Hayward, coming in from the other side, and leading the way to the dining-room. Joyce could not help feeling stiff and awkward as she followed, and hastily got into her seat before the butler could come behind and push forward the chair. She was a little afraid of him hovering behind, and wondered if he knew. ‘I hope you like your room,’ Mrs. Hayward said. ‘It is small, but I think it is nice; and, Baker, remember to let down the sun-blinds before the afternoon sun gets in. Miss Hayward will not like to find it all in a blaze. That is the worst of a western aspect. Henry, some invitations have come ——’ ‘Ah!’ said the Colonel, ‘we have more to consider now than we used to have, Elizabeth. There is Joyce to be thought of——’ ‘Oh,’ Joyce cried, growing very red, ‘I hope you will not think of me!’ ‘For some things, of course, we must consider her, Henry,’ said Mrs. Hayward, taking no notice of Joyce’s hurried exclamation. ‘There are nothing but garden-parties all about, and she must go to some of them. It will be the best way of making her known.’
  • 32. ‘You always think of the right thing, my dear,’ the Colonel said. ‘But when it is for dinner, Henry, until people know her, Joyce will not mind, she will stay at home.’ ‘I wish,’ said Joyce, with a horrified alarm—‘oh, I wish you would never think of me! I would not like—I could not think, I—I would be afraid to go to parties—I——’ ‘My dear,’ said Colonel Hayward, ‘perhaps there may be—dressmakers to think of—or something of that sort.’ ‘I think you may trust me to look after that,’ said Mrs. Hayward, with a glance at Baker, who was listening with benignant interest. Joyce had a keen enough feminine sense to know that Baker was not to be taken into the confidence of the family; and accordingly she made no further interruption, but allowed the conversation to go on without attempting to take any part in it. She heard them discuss names which were without any meaning to her, and kept shyly, and, as she felt, stiffly still, endeavouring with all her might to look as if she knew nothing at all about it, as if it did not at all refer to her —which went sadly against her with her step-mother, who was eagerly on the outlook for indications of character, and to whom Joyce’s apparent indifference was an offence—though she would probably have been equally offended had the girl shown too much interest. When Baker left the room, Mrs. Hayward turned to her again. ‘The Colonel was quite right,’ she said; ‘though I didn’t wish to discuss it before the servants. You must want some dresses. You are very nice as you are for indoors, but there is a great deal of dress now worn at garden- parties. And what is called a simple toilet is just the most troublesome of all. For it has to be so fresh and so perfect, not a crumpled ribbon, not a fold out of order. You must go with me to choose some patterns.’ Joyce coloured high again. She felt offended, proud—and yet knew she had no right to be either. ‘If I may speak,’ she said, ‘I never thought of parties. I would perhaps not know—how to behave. Oh, if you will be so kind as never to mind me! I will stay at home.’ Colonel Hayward put out his hand with his tender smile, and patted hers where it touched the table. ‘You will behave prettier—than any of them,’ the old soldier said. ‘Oh, don’t put nonsense in the girl’s head, Henry!’ cried his wife with impatience. ‘You may very likely be wanting a little, Joyce. You may feel
  • 33. awkward: it would be quite natural. The only thing is, you must begin some time—and the best way is to get your awkwardness over as soon as possible. Afternoon parties are more informal than dances, and so forth. They don’t demand so much, and you could pass in the crowd.’ Though Joyce had been frightened at the idea of parties, and though it was her own suggestion that she would not know how to behave, she did not like this. It sent the blood coursing through her veins. To pass in a crowd—to be tolerated where much was not demanded! How different was this from the old dreams in which Lady Joyce had been supreme! But these were but dreams, and she was ashamed to have ever been so vain. She stole away, while they stood in the hall discussing this question, with a sense of humiliation unspeakable, and retreated so quickly that her disappearance was not remarked, back to the west room once more. She shut the door upon herself, and said half aloud in the silence and solitude, how good a thing it was that they had given her this room of her own in which she could take shelter, and be in nobody’s way: and then for want of anything else to do, she fell suddenly, without warning, into a long fit of crying, tears irrestrainable, silent, overwhelming, that seemed as if they would carry her away. Poor Joyce felt that her fate was harder than she could bear—to be carried away from her homely state, in which she had been accustomed to something of the ideal eminence of her dreams, into this, which was supposed by everybody to be social elevation, and was humiliation, downfall—a fall into depths which she had never realised, which had never seemed possible for her. She cried like a child, feeling no power, nor indeed any wish, to stop crying, in a hopeless self-abandonment. Altogether, she was like a child, feeling herself lost, undervalued, neglected, and as if all the rest of the world were happy and in their natural places, while she was left here in a little room by herself all alone. And to add to the humiliation, Baker came in, soft, stepping like a large noiseless black cat, to put down the blinds, as his mistress had told him, and found her in the midst of that speechless torrent of weeping, unable to stop herself or to keep up appearances in any way. ‘Oh, I beg your pardon, Miss Hayward,’ Baker said, in subdued apology, shot with a glance of eager curiosity and inquisitiveness: for he wanted very much to know something about this daughter who had appeared so suddenly, and of whom no one had ever heard before. Joyce started up to her feet, and hurrying to the bookcase,
  • 34. took out all the books again in order to give herself a countenance. She turned her back upon him, but he could see very well the quivering of her shoulders, which all her pride and dismay at having betrayed herself could not stop. This curious state of affairs continued for two or three days. Joyce withdrew to her room when the meals were over, at which she was nervously on the watch for anything that might be said concerning her and her mode of existence. It was the third or fourth day before anything was said. Then Mrs. Hayward stopped her as she was stealing away, and laid a hand upon her shoulder. ‘Joyce, wait for a moment; let me speak to you. I am not going to interfere with what you wish: but do you really like best to spend all your time alone?’ ‘I thought,’ said Joyce, with a choking voice, for her heart had suddenly begun to thump so in her throat that she could scarcely hear,— ‘I thought— that I was to stay there: that perhaps you thought it best.’ ‘How could you think I was such a barbarous wretch! Joyce, if you mean to make life a fight——’ The girl opened her eyes wide with wonder and dismay. ‘That is not what you meant to say, Elizabeth,’ said the Colonel, coming up to them: his wife had thought he was out of the way, and made a little gesture of impatience on seeing him. ‘Don’t interfere, for heaven’s sake, Henry! unless you will manage affairs yourself, which would be much the best way. You make things much more difficult for me, as perhaps you are aware, Joyce.’ ‘No; I did not know. I thought when you said I should have a room—for myself——’ ‘That I meant you to live there like a prisoner in your father’s house? Are you aware that you are in your father’s house?’ Joyce turned her eyes from one to the other with a mute appeal. Then she said, ‘Yes,’ faintly, not with the vehemence of her former impulses. ‘If she had been patient and not run away,’ she added, with a little solemnity, after a pause, ‘it would not have been so unhappy for us all. I would at least have known—my father.’ ‘You see that?’ cried Mrs. Hayward, though she did not understand why these words were said. ‘Then you have some common-sense after all, and
  • 35. surely you will get to understand.’ ‘Why do you say that, Joyce—why do you say that?’ said the Colonel, laying his hand upon her arm. He was growing very pale and anxious, nervous and frightened, distinguished soldier as he was, by this sudden outburst of hostilities. To see two armies engaged is one thing, but it is quite another to see two women under your own roof——’ Joyce, you must not say that,’ he repeated, leaning his hand, which she could feel tremble, upon her arm; ‘you must listen to what Elizabeth—I mean, to what your mother says.’ ‘Don’t call me her mother, Henry. She doesn’t like it, and I am not sure that I do either. But we might be friends for all that—so long as she has sense—— Don’t you see, child, that we can’t live if you go on in this way? It is getting on my nerves!’ cried Mrs. Hayward with excitement, ‘and upon his nerves, and affecting the whole house. Why should you like to shut yourself up as if we were your enemies, and upset everybody? I can’t settle to anything. I can’t sleep. I don’t know what I am doing. And how you can like——’ ‘But I do not like it,’ said Joyce. ‘I did not think I could bear it any longer: everything is so strange to me. I used to think I would know by instinct; but it appears I was very silly all the time—for I don’t think I know how to behave.’ Joyce hated herself for feeling so near crying: why should a girl cry at everything when she does not wish to cry at all? The same thought was flying through Mrs. Hayward’s mind, who had actually dropped one hot and heavy tear, which she hoped no one saw. She put up her hand hastily to stop the Colonel, who was about to make one of those speeches which would have given the finishing touch. ‘Then,’ she said, ‘run and get your work, if you have any work, or your book, or whatever you are doing, and come to the drawing-room like a Christian: for we should all go out of our senses altogether if we went on much longer in this way.’ The Colonel patted his daughter’s arm and hastened to open the door for her like an old courtier. ‘I told you,’ he said, ‘turning round to his wife, ‘that as soon as you spoke to her, Elizabeth, she would respond. You are a little hasty, my dear, though never with me. I knew that as soon as she saw what a heart you have——’
  • 36. ‘Oh, never mind my heart, Henry! Don’t talk to Joyce about my heart. I think she has a little common-sense. And if that’s so, we shall get on.’ And then Joyce began to spend all her time in the drawing-room, sadly ill at ease, not knowing what to do. She sat there sounding the depths of her own ignorance, often for hours together, as much alone as when in the west room, feeling herself to sit like a wooden figure in her chair, conscious to her finger-tips of awkwardness, foolishness, vacancy, which had never come into her life before. She had no needlework to give her a pretence of occupation: and as for books, those that were about on the tables were not intended to be read, except the novels from Mudie’s, which had this disadvantage, that when they were readable at all, Joyce got absorbed in them, and forgot herself, and would sometimes forget Mrs. Hayward too. She had a feeling that she should be at Mrs. Hayward’s disposal while they were together, so that this lapse occurring now and then, filled her with compunction and shame. But when visitors came, that was the worst of all.
  • 37. CHAPTER XIX On one of these mornings the Colonel came to her almost stealthily, with a very soft step, while she was in the drawing-room alone. Joyce had no book that morning, and was more in despair than ever for something to do. She was kneeling in front of one of the pretty pieces of Indian work, copying the pattern on a sheet of paper. When she heard her father’s step, she started as if found out in some act of guilt, grew very red, and dropped her pencil out of her trembling hand. ‘I beg your pardon,’ she said involuntarily. ‘I—had nothing to do. It is a wonderful pattern. I thought I should like to copy it——’ ‘Surely, my dear—and very prettily you have done it too; but you must try to recollect that everything is yours, and that you have no need to ask pardon. I want you to come with me into my library. I believe you have never seen my library, Joyce.’ No, she had not been able to take the freedom either of a child of the house or of an ordinary visitor. She was afraid to go anywhere beyond the ordinary thoroughfare, from dining-room to drawing-room. ‘I saw an open door,’ she said, ‘and some books.’ ‘But you did not come in? Come now. I have something to say to you.’ There was a look in the old soldier’s eye of unlawful pleasure, a gratification enhanced by the danger of being found out, and perhaps suffering for it. He led Joyce away with the glee of a truant schoolboy. ‘My wife is busy,’ he said, with an air of innocent hypocrisy. ‘She can’t want either of us for the moment. Come in, come in. And, my dear,’ he said, putting again his caressing hand upon his daughter’s shoulder, ‘remember, that when I am not in the garden, I’m here: and when you have anything to say to your father, I’m always ready—always ready. I hope you will learn— to take your father into your confidence, Joyce.’ She did not make any reply; her head drooped, and her voice was choked. He was so kind—and yet confidence was so hard a thing to give. ‘That reminds me,’ he said, still more gently, ‘that I don’t think you ever call me father, Joyce.’ ‘Oh,’ she said, not daring to lift her eyes, ‘but I think it—in my heart.’
  • 38. ‘You must say it—with your lips, my dear; and you must not be afraid of the people who are nearest to you in the world. You must have confidence in us, Joyce. And now look here, my little girl; I have something to give you —not any pretty thing for a present,’ said the Colonel, sitting down before his desk and pulling out a drawer, ‘but something we can’t get on without. I got it for you in this form that you might use it as you please; remember it is not for clothes but only for your own pleasure, to do what you like with.’ He held out to her, with the most fatherly kind smile, four crisp and clean five-pound notes. Joyce looked at them bewildered, not knowing what they were, and then gave a choking cry, and drew back, covering her face with her hands. ‘Money!’ she cried, and a pang of mortification went through her like the sharp stab of a knife. ‘Well, my dear, you must have money, and who should give it you but your father? Joyce! why, this is worse and worse.’ The Colonel grew angry in his complete bewilderment, and the disagreeable sensation of kindness refused. ‘What can you mean?’ he cried; ‘am I to have nothing to do with you though you are my daughter?’ He got up from his chair impatiently. ‘I thought you would like it to be between ourselves. I made a little secret of it, thinking to please you. No; I confess that I don’t understand you, Joyce: if Elizabeth were here, I should tell her so.’ He flung down the notes upon his table, where they lay fluttering in the morning breeze that came in at the open window. ‘She must do what she can, for I don’t pretend to be able to do anything,’ the Colonel cried. Joyce stood before him, collecting herself, calming down her own excitement as best she could. She said to herself that he was quite right— that it would have to be—that she had no independent life or plan of her own any more—that she must accept everything from her father’s hands. What right had she either to refuse or to resent? How foolish it was, how miserable, ungenerous of her, not to be able to take! Must it not sometimes be more gracious, more sweet to take, to receive, than to give? And yet to accept this from one who was almost a stranger though her father, seemed impossible, and made her whole being, body and soul, quiver with that sensation of the intolerable in which there is neither rhyme nor reason. Though she was so young, she had provided for her own necessities for years. They were very few, and her little salary was very small; but she had done it, giving rather than getting—for naturally there was nothing to spare
  • 39. from Peter Matheson’s ploughman’s wages. She stood shrinking a little from her father’s displeasure—so unused to anything of the kind!—but with all these thoughts sweeping through the mind, which was only a girl’s mind, in many ways wayward and fantastic, but yet at bottom a clear spirit, candid and reasonable. This would have to be. She must accept the money, she who had been so independent. She must learn how to live, that tremendous lesson, in the manner possible to her, not in her own way. Once more she thought of her mother obeying her foolish impulse, flying from her troubles —only to fall fatally under them, and to leave their heritage to her daughter. It did not require a moment to bring all these reflections in a flood through her mind, nor even to touch her with the thought of her father’s little tender artifice, and of how he had calculated no doubt that she would have presents to send, help to offer—or, at least, pleasure to bestow. Perhaps her imagination put thoughts even more delicate and kind into the Colonel’s mind than those which were there—which was saying much. She recovered her voice with a great effort. ‘Father——’ she said, then paused again, struggling with something in her throat,— ‘I hope you will forgive me. I—never took money—from any one—before——’ ‘You never had your father before to give it you, Joyce.’ A little word calmed down the Colonel’s superficial resentment. It did more, it went straight to his heart. He came up to her and put his arm round her. ‘My child,’ he said, in the words of the parable, ’"all that I have is thine.” You forget that.’ ‘Father, if I could only feel that you were mine. It is all wrong—all wrong!’ cried Joyce. ‘It is like what the Bible says; I want to be born again.’ The Colonel did not know what to say to this, which seemed to him almost profane; but he did better than speaking—he held her close to him, and patted her shoulder softly with his large tender hand. ‘And I will, I will,’ said Joyce, with a Scotch confusion of tenses, ‘if you will have a little patience with me. It cannot come all in a moment; but I will, I will.’ ‘We’ll all have patience,’ said the Colonel, stooping over her, feeling in his general weakness, and with even a passing sigh for Elizabeth going through his mind, that it was sweet to have the positions reversed
  • 40. sometimes, and to feel somebody depend upon him, and appeal to his superior wisdom. At this moment Mrs. Hayward opened the door of her husband’s room quickly, coming in with natural freedom. She stopped ’as if she had been shot’ when she saw this group—Joyce sheltered in her father’s arm, leaning against him. She made a rapid exclamation, ‘Oh!’ and turning as quickly as she had come, closed the door after her with a quick clear sound which said more than words. She did not slam it—far from that. She would not have done such a thing, neither for her own sake, nor out of regard for what the servants would say: but she shut it sharply, distinctly, with a punctuation which was more emphatic than any full stop could be. In the afternoon there were callers, and Joyce became aware, for the first time, of the social difficulties of her position. She heard the words, ‘brought up by relations in Scotland,’ as she went through the drawing-room to the verandah where the visitors were sitting with Mrs. Hayward. Joyce did not apply the words to herself, but she perceived a little stir of interest when she appeared timidly at the glass door. The lady was a little woman, precise and neat, with an indescribable air of modest importance, yet insignificance, which Joyce learned afterwards to understand, and the gentleman was in a long black coat, with a soft felt hat in his hands. Eyes more instructed would have divined the clergyman and clergywoman of the district, not rector and rectoress, but simple incumbents. They rose up to meet her, and shook hands in a marked way, as ‘taking an interest’ in a new member of their little cure; but Joyce, unaccustomed, did not understand the meaning of this warmth. It disconcerted her a little, and so did the conversation into which Mr. Sitwell at once began to draw her, while his wife conversed in a lower tone with the lady of the house. He talked to her of the river and boating, of which she knew nothing, and then of lawn-tennis, to which her response was not more warm. The good clergyman thought that perhaps the game had not penetrated to the wilds of Scotland, and changed the subject. ‘We are going to have our children’s treat next week,’ he said. ‘It would be very kind of you to come and help my wife, who has everything to manage. Our district is but a new one—we have not much aid as yet. Do you take any interest in schools, Miss Hayward?’ ‘Oh yes, a great interest,’ cried Joyce, lighting up, ‘that is just my——’ she was going to say profession, having a high opinion of the dignity of her
  • 41. former office: but before the word was said she caught a warning glance from Mrs. Hayward—‘it is what I care most for in the world,’ she said, with a sudden blush of shame to feel herself stopped in that avowal of enthusiasm for the work itself. ‘Indeed!’ cried the clergyman. ‘Do you hear, Dora? here is a help for you. Miss Hayward says that schools are what she cares most for in the world.’ ‘Joyce says a little more than she means,’ said Mrs. Hayward quickly. ‘Young ladies have a way of being enthusiastic.’ ‘Don’t damp it, please!’ cried Mrs. Sitwell, clasping her hands; ‘enthusiasm is so beautiful in young people: and there is so little of it. Oh, how delighted I shall be to have your help! The district is so new—as my husband would tell you.’ ‘Of course I have enlisted Miss Hayward at once,’ cried he. ‘She is going to help at the school feast.’ ‘Oh, thank you, THANK you,’ cried the clergyman’s wife, with devotion, once more clasping her hands. Mrs. Hayward’s voice was more dry than ever—there was a sharp ring in it, which Joyce had begun to know. ‘You must let her give you an answer later,’ she said. ‘She doesn’t know her engagements yet. We have several things to do. When must I send in the cakes, Mrs. Sitwell? We always calculate, you know, on helping in that way.’ ‘You are always so kind, dear Mrs. Hayward, so kind! How can we ever thank you enough!’ said the clergywoman. ‘Always kind,’ her husband echoed, with an impressive shake of Mrs. Hayward’s hand, and afterwards of Joyce’s, who was confused by so much feeling. Her step-mother was drier still as they went away. ‘I must ask you, just at first, to make no engagements without consulting me,’ she said very rigidly. ‘You cannot know—at first—what it is best for your own interests to do.’ Should she say that she had made no engagements, and wished for none? It is hard not to defend one’s self when one is blamed. But Joyce took the wiser way, and assented without explanations. She had scarcely time to do more when other people came—people more important, as was at once evident—a large lady in black satin and lace, a younger, slimmer one in white. They filled the verandah, which was not very broad, with the sweep
  • 42. of their draperies. They both gave a little glance of surprise when Miss Hayward was presented to them, and the elder lady permitted herself an ‘Oh ——!’ She retired to the end of the verandah, where Mrs. Hayward had installed herself. ‘I never knew before that you had a grown-up daughter. I always thought, indeed, that there were no——’ ‘My husband’s daughter by his first marriage,’ said Mrs. Hayward. ‘She has never lived at home. In India, you know, children can never be kept with their parents.’ ‘It is a dreadful drawback. I am so glad my girls will have nothing to say to Indian men.’ The lady in white had begun to talk to Joyce, but the girl’s ears were intent on the other conversation which she felt to concern herself. She made vague replies, not knowing what she said, the two voices in the distance drawing all her attention from the one more near. ‘So she had to be left with relations—quite old-fashioned people—and she is very simple, and knows very little of the world.’ ‘The less the better,’ said the visitor, whose name Joyce had not caught; and then there was a pause, and the young lady’s voice became more audible, close to her ear. ‘Brought up in Scotland? Oh, I hope you are not one of the learned ladies. Don’t they go in tremendously for education in Scotland?’ her visitor said. ‘They say our Scotch schools are the best,’ said Joyce sedately, with a mixture of national and professional pride. ‘Oh yes, so everybody says; you are taught everything. I know Scotland a little: everybody goes there in the autumn, don’t you know? I wonder if I have been in your part of the country? Papa has a moor whenever he can afford it. And we have quantities of Scotch cousins all over the place.’ ‘It was near Edinburgh,’ said Joyce, with a little hesitation. ‘Yes? I have been at several places near Edinburgh,’ said the young lady. ‘Craigmoor where the Sinclairs live, for one. They are relations of ours. And there is another house, a very nice house close by, Bellendean. I suppose you know the Bellendeans.’ The colour rushed over Joyce’s face. She remembered her difficulties no more. The very sound of the name filled her with pleasure and
  • 43. encouragement. ‘Bellendean!’ she said; ‘oh, indeed, I know Bellendean! I know it better than any place in the world. And I know the lady—oh, better than any one. And would it be Miss Greta that was your cousin——?’ Joyce’s countenance shone. She forgot all about those bewildering explanations which she had overheard: and about herself, whose presence had to be accounted for. For a moment her natural ease and unconsciousness came back, and she felt herself Joyce again. Mrs. Hayward rose suddenly from her chair. She, too, had been listening, through her own conversation, to the other voices. She made a step forward — ‘So you know the Bellendeans,’ she said, with an agitated smile. ‘We have just been staying there, and can give you the latest news of them. What a small world it is, as everybody says! I only heard of them for the first time when we went to fetch Joyce: and now I find my nearest neighbours know all about them! Joyce, will you ask if Baker is bringing tea?’ Lady St. Clair and her daughter gave each other a glance of mutual inquiry. And Joyce, as she obeyed, with a curious pang of wonder and pleasure and annoyance, heard the discussion begin, the interchange of questions mingled with remarks about her friends, the names so dear to her passing from mouth to mouth. She was sent away who knew all about them, while her stepmother, who knew so little, talked, adopting an air of familiarity. Why was she sent away? Then she remembered suddenly on what a humble footing she could alone claim knowledge of the Bellendeans, and divined with a shock of sudden pain that it was to stop any revelations on that subject that she had been despatched on this unnecessary errand. Joyce paused in the luxurious room, which seemed somehow to absorb all the air and leave none to breathe. Oh for the freedom of Bellendean, where everybody knew who she was and thought no harm! Oh for the little cottage, where there were no pretences! The great and the small were easy, they understood each other; but this middle country, all full of reserves and assumptions which lay between, how was an ignorant creature to learn how to live in it, to avoid the snares and keep clear of the pitfalls, not to contradict or expose the falsehoods, and yet to be herself true? Mrs. Hayward, on her side, sitting painfully talking as if she knew all about these people, whom she thought she hated, so much were they involved with this painful episode of her life, was no more happy than
  • 44. Joyce. To think that her neighbours, the best people about, those whose friendship was most desirable, should be mixed up with the Bellendeans, who knew everything! So that now her skilful little romance must fall to the ground, and all the story be fully known.
  • 45. CHAPTER XX The discussions held upon this question in the Colonel’s room were many. Mrs. Hayward had kept herself for many years out of society, rejecting it all the more sternly because she loved it and held all its little punctilios dear. And now that all necessity for such self-denial was over, to have everything risked again was terrible to her. She who had so carefully kept her husband from annoyance, in this matter departed from all her traditions. The good Colonel himself was fond of society too. He liked to know people, to gather kindly faces about him, and to be surrounded by a cheerful stir of human interests; but to tell the truth, he did not care very much about Lady St. Clair and the best people in the neighbourhood. It was seldom—very seldom—that it occurred to him to criticise his Elizabeth; but on this point he thought her a little mistaken, and not so infallible as she usually was. ‘Have patience a little, my dear,’ he said, falling upon a simple philosophy, which, indeed, he was not at all disposed himself to put in practice, ‘and you’ll see all will come right.’ ‘Nothing will come right,’ said Mrs. Hayward, ‘unless we can get your daughter properly introduced. It alters everything in our position, Henry. We were settling down to society such as suits you and me; but that will not do now. The moment there is a young lady in the house all is changed. She must be thought of. A different kind of entertainment is wanted for a girl. I ought to take her to balls, and to water-parties, and to all sorts of gaieties. You would not like her to be left out.’ ‘Well, my dear,’ said the Colonel, more cheerfully, ‘I like young faces, and I don’t object to a little dance now and then. I always, indeed, encouraged the young fellows in the regiment——’ ‘If it were giving a dance that was all!—you may be sure I shouldn’t come to you about that. There is a great deal involved that is of much more importance. If it all gets abroad about your daughter, everything will suffer —she in the first place. It will be like a governess—every one respects a governess——’ ‘Surely, my dear. A good girl who perhaps does it to help her family, or support her old mother, or——’
  • 46. ‘Henry, my dear, you are very old-fashioned. But however good she may be, she is always at a disadvantage. It would be bad for us too. Colonel Hayward’s daughter a governess! They would say you were either less well off than you appeared, or that you had used her badly, or that I had used her badly—still more likely.’ ‘But when we did not know of her very existence, Elizabeth!’ ‘How are you to tell people that? The best thing is to keep quite quiet about it, if we only can. But now here is this new complication. These Bellendean people will talk it all over with the St. Clairs, and the St. Clairs will publish it everywhere. And people will be sorry for her, and pick her to pieces, and say it is easy to see she is unused to our world; they will be sorry for her for being with me, or else be sorry for me for being burdened with her.’ ‘Elizabeth——’ ‘And the worst is,’ she said vehemently, ‘that it will be quite true on both sides. She will be to be pitied, and I shall be to be pitied. If only these friends of hers could be kept quiet! If only she could be dressed properly, and taught to hold her tongue and say nothing about her past!’ The Colonel got up and began to walk about the room in great perturbation of spirit. He could not say, as he had been in the habit of saying, ‘If Elizabeth were but here!’ for it was Elizabeth herself— extraordinary fact!—who was the cause of the trouble. Social difficulties had not affected them till now; and what could he do or suggest in face of an emergency which was too much for Elizabeth? The poor gentleman was without resource, and he had a faint sense of injury, a feeling that he had never expected to be consulted or to have to advise in such a matter. All the difficulties in their way of a personal character had been Elizabeth’s business, not his. He walked about with a troubled brow, a face full of distress,—what could he do or say? It was almost cruel of her to consult him, to put matters which he had never pretended to be able to manage into his hands. Mrs. Hayward, on her side, felt a faint gleam of alleviation in the midst of the gloom from the spectacle of the Colonel’s perturbation. It was his affair after all, and he had the best right to suffer; and though she expected no help from him, there was a certain satisfaction and almost diversion in the depth of his helpless distress. They were, however, brought to a sudden
  • 47. standstill, which was a relief to both, by a ring at the door-bell, a very unusual thing in the morning. The clouds dispersed from Mrs. Hayward’s brow. She put up her hand instinctively to her cap. Agitation of any kind, though it may seem a remarkable effect, does derange one’s cap, as everybody who wears such a head-dress knows. ‘It can’t be any one coming to call at this hour,’ she said. ‘It must be some of your men intending to stay for lunch.’ A weight was lifted off the Colonel’s mind by this resumption of ordinary tones and subjects. He was always glad to see one of ‘his men,’ as Mrs. Hayward called them, to lunch, being of the most hospitable disposition; and it was his experience that the presence of a stranger was always perfectly efficacious in blowing away clouds that might arise on the family firmament. Besides, in the strained condition of family affairs, a third, or rather fourth party, who knew nothing about the circumstances, could not but make that meal more cheerful. They stood and listened for a moment while some one was evidently admitted, with some surprise that Baker did not appear to announce the visitor. Presently, however, the door was opened with that mixture of swiftness and hesitation which was characteristic of Joyce, and she herself looked in, more awakened and with a brighter countenance than either of the pair had yet seen in her. Her shyness had disappeared in the excitement of a pleasant surprise; her cheeks had got a little colour; the eager air which had struck Colonel Hayward when he first saw her, but which of late had been so much subdued, had returned to her eyes and sensitive mouth. ‘Oh, it’s the Captain!’ she said, with a sense of the importance of the announcement, as if she had been presenting the Prince of Wales at least, which changed the entire sentiment of her face. Mrs. Hayward had never before seen the natural Joyce as she was in the humility of her early undisturbed state. She acknowledged the charm of the girl with a keen little sudden pang of that appreciation and comprehension of jealousy, which is more clear-sighted and certain than love. ‘The Captain!’ she said, not quite aware who was meant, yet putting on an air of more ignorance than was genuine. ‘Oh, Bellendean!’ cried the Colonel, going forward with cordiality. ‘My dear fellow, how glad I am to see you! You’ve got away, then, from all your anxious friends. Elizabeth, you remember Captain Bellendean?’
  • 48. ‘I am not likely to have forgotten him,’ Mrs. Hayward said graciously, yet with a meaning which perhaps was not so gracious as her speech. And there darted through her mind, as is so usual with women, a question, a calculation. Was it for Joyce? Men are so silly; who can tell how they may be influenced? There flashed through her a gleam of delight at the thought of thus getting rid of the interloper, and at the same time an angry grudge that this girl, who seemed to have all the luck, should come to such honour, and be thus set on high above so many who were her betters. All this in the twinkling of an eye. She stood for a minute or two and talked, asking the proper questions about his family, and when he came to town, and how long he meant to stay; then left the visitor with her husband, and hastened to say something about the luncheon to Baker, who on his part was lingering outside with a message from the cook. To those who feel an interest in such matters, we may say that Mrs. Hayward, when one of the Colonel’s men made his appearance unexpectedly for luncheon, generally added a dish of curry, for which her cook was noted (the men being almost all old Indians), to that meal. When she returned to the drawing-room, Joyce was there, still with the same look of exhilaration and liveliness. She was even the first to speak—a singular circumstance. ‘I hope,’ she said, ‘I was not wrong in taking the Captain to the library. I thought, as you were not here, he would like that better than just talking to me.’ Was this false humility? or affectation? or what was it? ‘You were quite right, no doubt; for it must have been your father he came to see,’ said Mrs. Hayward, with a quick glance. She was prepared to see a conscious smile upon Joyce’s mouth, the little air of demure triumph with which a girl who knows herself the object of such a visit acquiesces in the fact that it is for her father. But no such consciousness was upon Joyce’s countenance. ‘You seem to be very much pleased to see him,’ she continued. ‘And why do you call him the Captain, as if there were not another in the world?’ Joyce paused a little before she answered. ‘I think,’ she said, ‘that the people at Bellendean did think there was not another such Captain in the world.’ ‘And you are glad to see him—because you know him so well? because he reminds you of your old life?’
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