Multimedia Networking From Theory to Practice 1st Edition Jenq-Neng Hwang
Multimedia Networking From Theory to Practice 1st Edition Jenq-Neng Hwang
Multimedia Networking From Theory to Practice 1st Edition Jenq-Neng Hwang
Multimedia Networking From Theory to Practice 1st Edition Jenq-Neng Hwang
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5. Multimedia Networking From Theory to Practice 1st
Edition Jenq-Neng Hwang Digital Instant Download
Author(s): Jenq-Neng Hwang
ISBN(s): 0521882044
Edition: 1
File Details: PDF, 11.35 MB
Year: 2009
Language: english
8. Multimedia Networking
From Theory to Practice
This authoritative guide to multimedia networking is the first to provide a complete system
design perspective based on existing international standards and state-of-the-art networking
and infrastructure technologies, from theoretical analyses to practical design considerations.
The four most critical components involved in a multimedia networking system – data
compression, quality of service (QoS), communication protocols, and effective digital rights
management – are intensively addressed. Many real-world commercial systems and
prototypes are also introduced, as are software samples and integration examples, allowing
readers to understand the practical tradeoffs in the real-world design of multimedia
architectures and to get hands-on experience in learning the methodologies and design
procedures.
Balancing just the right amount of theory with practical design and integration
knowledge, this is an ideal book for graduate students and researchers in electrical
engineering and computer science, and also for practitioners in the communications and
networking industry. Furthermore, it can be used as a textbook for specialized graduate-level
courses on multimedia networking.
Jenq-Neng Hwang is a Professor in the Department of Electrical Engineering, University of
Washington, Seattle. He has published over 240 technical papers and book chapters in the
areas of image and video signal processing, computational neural networks, multimedia
system integration, and networking. A Fellow of the IEEE since 2001, Professor Hwang has
given numerous tutorial and keynote speeches for various international conferences as well
as short courses in multimedia networking and machine learning at universities and research
laboratories.
12. To my wife Ming-Ying, my daughter Jaimie, and my son Jonathan, for their
endless love and support.
14. Contents
Preface page xi
Acknowledgements xii
List of abbreviations xiii
1 Introduction to multimedia networking 1
1.1 Paradigm shift of digital media delivery 1
1.2 Telematics: infotainment in automobiles 5
1.3 Major components of multimedia networking 7
1.4 Organization of the book 9
References 9
2 Digital speech coding 11
2.1 LPC modeling and vocoder 13
2.2 Regular pulse excitation with long-term prediction 16
2.3 Code-excited linear prediction (CELP) 18
2.4 Multiple-pulse-excitation coding 21
References 24
3 Digital audio coding 26
3.1 Human psychoacoustics 28
3.2 Subband signal processing and polyphase filter implementation 33
3.3 MPEG-1 audio layers 37
3.4 Dolby AC3 audio codec 45
3.5 MPEG-2 Advanced Audio Coding (AAC) 49
3.6 MPEG-4 AAC (HE-AAC) 54
References 60
4 Digital image coding 62
4.1 Basics of information theory for image compression 63
4.2 Entropy coding 64
4.3 Lossy image compression 69
4.4 Joint Photographic Experts Group (JPEG) 71
4.5 JPEG2000 84
References 105
15. 5 Digital video coding 107
5.1 Evolution of digital video coding 108
5.2 Compression techniques for digital video coding 112
5.3 H.263 and H.263þ video coding 125
5.4 MPEG-1 and MPEG-2 video coding 131
5.5 MPEG-4 video coding and H.264/AVC 144
5.6 H.264/MPEG-4 AVC 153
5.7 Window Media Video 9 (WMV-9) 165
5.8 Scalable extension of H.264/AVC by HHI 172
References 178
6 Digital multimedia broadcasting 181
6.1 Moving from DVB-T to DVB-H 183
6.2 T-DMB multimedia broadcasting for portable devices 189
6.3 ATSC for North America terrestrial video broadcasting 193
6.4 ISDB digital broadcasting in Japan 198
References 199
7 Multimedia quality of service of IP networks 202
7.1 Layered Internet protocol (IP) 202
7.2 IP quality of service 210
7.3 QoS mechanisms 213
7.4 IP multicast and application-level multicast (ALM) 226
7.5 Layered multicast of scalable media 245
References 254
8 Quality of service issues in streaming architectures 257
8.1 QoS mechanisms for multimedia streaming 259
8.2 Windows Media streaming technology by Microsoft 281
8.3 SureStream streaming technology by RealNetworks 283
8.4 Internet protocol TV (IPTV) 287
References 297
9 Wireless broadband and quality of service 301
9.1 Evolution of 3G technologies 303
9.2 Wi-Fi wireless LAN (802.11) 316
9.3 QoS enhancement support of 802.11 330
9.4 Worldwide interoperability for microwave access (WiMAX) 342
9.5 Internetworking between 802.16 and 802.11 360
References 362
viii Contents
16. 10 Multimedia over wireless broadband 365
10.1 End-to-end transport error control 366
10.2 Error resilience and power control at the source coding layer 377
10.3 Multimedia over wireless mesh 380
10.4 Wireless VoIP and scalable video 385
References 405
11 Digital rights management of multimedia 410
11.1 A generic DRM architecture 411
11.2 Encryption 414
11.3 Digital watermarking 437
11.4 MPEG-21 445
References 465
12 Implementations of multimedia networking 467
12.1 Speech and audio compression module 467
12.2 Image and video compression module 479
12.3 IP networking module 490
12.4 Audio and video capturing and displaying 497
12.5 Encoding and decoding of video or audio 510
12.6 Building a client–server video streaming system 520
12.7 Creating a small P2P video conferencing system 532
Index 538
Contents ix
18. Preface
With the great advances in digital data compression (coding) technologies and the rapid
growth in the use of IP-based Internet, along with the quick deployment of last-mile
wireline and wireless broadband access, networked multimedia applications have created a
tremendous impact on computing and network infrastructures. The four most critical and
indispensable components involved in a multimedia networking system are: (1) data
compression (source encoding) of multimedia data sources, e.g., speech, audio, image, and
video; (2) quality of service (QoS) streaming architecture design issues for multimedia
delivery over best-effort IP networks; (3) effective dissemination multimedia over
heterogeneous IP wireless broadband networks, where the QoS is further degraded owing
to the dynamic changes in end-to-end available bandwidth caused by wireless fading or
shadowing and link adaptation; (4) effective digital rights management and adaptation
schemes, which are needed to ensure proper intellectual property management and
protection of networked multimedia content.
This book has been written to provide an in-depth understanding of these four major
considerations and their critical roles in multimedia networking. More specifically, it is the
first book to provide a complete system design perspective based on existing international
standards and state-of-the-art networking and infrastructure technologies, from theoretical
analyses to practical design considerations. The book also provides readers with learning
experiences in multimedia networking by offering many development-software samples for
multimedia data capturing, compression, and streaming for PC devices, as well as GUI
designs for multimedia applications. The coverage of the material in this book makes it
appropriate as a textbook for a one-semester or two-quarter graduate course. Moreover, owing
to its balance of theoretical knowledge building and practical design integration, it can serve
also as a reference guide for researchers working in this subject or as a handbook for
practising engineers.
19. Acknowledgements
This book was created as a side product from teaching several international short courses in
the past six years. Many friends invited me to offer these multimedia networking short
courses, which enabled my persistent pursuit of the related theoretical knowledge and
technological advances. Their constructive interactions and suggestions during my short-
course teaching helped the content and outline to converge into this final version. More
specifically, I am grateful to Professor LongWen Chang of National Tsing Hua University,
Professor Sheng-Tzong Steve Cheng of National Cheng Kung University, Director Kyu-Ik
Cho of the Korean Advanced Institute of Information Technology, Professor Char-Dir
Chung of National Taiwan University, Professor Hwa-Jong Kim of Kangwon National
University, Professor Ho-Youl Jung of Yeungnam University, Professor Chungnan Lee of
National Sun Yat-sen University, Professor Chia-Wen Lin of National Chung Cheng
University, Professor Shiqiang Yang of Tsinghua University at Beijing, and Professor Wei-
Pang Yang of National Chiao Tung University. I also would like to record my deep
appreciation to my current and former Ph.D. students, as well as visiting graduate students,
for their productive research contributions and fruitful discussions, which have led me to a
better understanding of the content presented in this book. In particular, I would like to
thank Serchen Chang, Wu Hsiang Jonas Chen, Timothy Cheng, Chuan-Yu Cho, Sachin
Deshpande, Hsu-Feng Hsiao, Chi-Wei Huang, ChangIck Kim, Austin Lam, Jianliang Lin,
Shiang-Jiun Lin, Qiang Liu, Chung-Fu Weldon Ng, Tony Nguyen, Jing-Xin Wang,
Po-Han Wu, Yi-Hsien Wang, Eric Work, Peng-Jung Wu, Tzong-Der Wu, and many
others. Moreover, I would like to thank Professors Hsuan-Ting Chang and Shen-Fu Hsiao
and Clement Sun for their help in proofreading my manuscript while I was writing
this book.
20. Abbreviations
AAC advanced audio coding
AAC-LC AAC low-complexity profile
AAC-SSR AAC scalable sample rate profile
AC access category
ACAP advanced common application platform
ADPCM adaptive delta pulse code modulation
ADSL asymmetric digital subscriber line
ADTE adaptation decision taking engine
AES advanced encryption standard
AIFS arbitration interframe space
AIFSN arbitration interframe space number
AIMD additive-increase multiplicative decrease
ALM application-level multicast
AMC adaptive modulation coding
AODV ad hoc on-demand distance vector
AP access point
AR auto-regressive
ARF autorate fallback
ARIB Association of Radio Industries and Business
ARK Add Round Key
ARQ automatic repeat request
AS autonomous system
ASF advanced system format
ASO arbitrary slice ordering
ATIS Alliance for Telecommunications Industry Solutions
ATSC Advanced Television Systems Committee
AVC advanced video coding
BBGDS block-based gradient descent search
BE best-effort
BER bit error rate
BGP border gateway protocol
BIC bandwidth inference congestion control
BIFS binary format for scenes
BSAC bit-sliced arithmetic coding
BSS basic service set
BST-OFDM band segmented transmission OFDM
21. CA certification authority
CABAC context-adaptive binary arithmetic coding
CAST Carlisle Adams and Stafford Tavares
CATV cable TV
CAVLC Context-Adaptive Variable Length Coding
CBR constant bitrate
CBT core-based tree
CCIR-601 Consultative Committee on International Radio, Recommendation 601
CD compact disc
CD-I CD-interactive
CDMA code-division multiple access
CDN content delivery network
CELP code-excited linear prediction
CIF common intermediate format
CLC cross-layer congestion control
CLUT color look-up table
CMMB China Mobile Multimedia Broadcasting
CMS content management system
COFDM coded orthogonal frequency-division multiplex
COPS common open policy service
CPE customer premise equipment
CPU central processing unit
CQ custom queuing
CQICH channel quality indication channel
CRC cyclic redundancy check
CS-ACELP conjugate structure – algebraic code-excited linear prediction
CSI channel-state information
CSMA/CA carrier sense multiple access with collision avoidance
CSMA/CD carrier sense multiple access with collision detection
CTS clear to send
CW contention window
CWA contention window adaptation
DAB digital audio broadcasting
DAM digital asset management
DBS direct broadcast satellite
DCC digital compact cassette
DCF distributed coordination function
DCI digital cinema initiative
DCT discrete cosine transform
DES data encryption standard
DFS distributed fair scheduling
DI digital item
DIA digital item adaptation
DID digital item declaration
DIDL digital item declaration language
DiffServ differentiated services
xiv List of abbreviations
22. DIFS DCF interframe space
DII digital item identification
DIM digital item method
DIMD doubling increase multiplicative decrease
DIML digital item method language
DIP digital item processing
DIXO digital item extension operation
DL downlink
DLNA digital living network alliance
DRM digital rights management
DSC digital still camera
DSCP differentiated service code point
DSL digital subscriber line
DTV digital TV
DVB digital video broadcasting
DVB-H digital video broadcasting – handheld
DVB-T digital video broadcasting – terrestrial
DVD digital versatile disk
DVMRP distance-vector multicast routing protocol
EBCOT embedded block coding with optimized truncation
EBU European Broadcasting Union
EDCA enhanced distributed channel access
EDTV enhanced definition TV
ertPS extended-real-time polling service
ESS extended service set
ETSI European Telecommunication Standards Institute
EV-DO evolution-data only
FATE fair airtime throughput estimation
FDD frequency-division duplex
FDDI fiber distributed data interface
FDMA frequency-division multiple access
FEC forward error correction
FIFO first-in first-out
FMO flexible macroblock ordering
FTP file transfer protocol
FTTH fiber to the home
GIF graphics interchange format
GOP group of pictures
GPRS general packet radio service
GSM global system for mobile
GUI graphical user interface
HCCA HCF controlled channel access
HCF hybrid coordination function
HD-DVD high-definition digital versatile disk
HDTV high-definition TV
HFC hybrid fiber cable
List of abbreviations xv
23. HHI Heinrich Hertz Institute
HSDPA high speed downlink packet access
HSUPA high speed uplink packet access
HTTP hypertext transfer protocol
IANA Internet Assigned Numbers Authority
IAPP inter access-point protocol
ICMP Internet control message protocol
IDEA international data encryption algorithm
IEC International Electrotechnical Commission
IETF Internet engineering task force
IGMP Internet group management protocol
IIF IPTV interoperability forum
IMT-2000 International Mobile Telecommunications 2000
IntServ integrated services
IP intellectual property
IP Internet protocol
IPMP intellectual property management and protection
IPTV Internet protocol TV
IPv4 Internet protocol Version 4
IPv6 Internet protocol Version 6
ISBN International Standard Book Number
ISDB-T integrated services digital broadcasting – terrestrial
ISDN integrated services digital network
ISMA International Streaming Media Alliance
ISO International Organization for Standardization
ISP Internet service provider
ISPP interleaved single-pulse permutation
ISRC International Standard Recording Code
ITS intelligent transportation system
ITU-T International Telecommunication Union
iTV interactive TV
JBIG Joint Bi-level Image experts Group
JP3D JPEG2000 3D
JPEG Joint Photographic Experts Group
JPIP JPEG2000 Interactive and Progressive
JPSEC JPEG2000 Secure
JPWL JPEG2000 Wireless
JVT Joint Video Team
LAN local area network
LD-CELP low-delay code-excited linear prediction
LLC logical link control
LPC linear predictive coding
LSA link-state advertisement
LSP line spectral pairs
LTE long-term evolution
LTP long-term prediction
xvi List of abbreviations
24. MAC media access control
MAF minimum audible field
MAN metropolitan area network
MBS Multicast and broadcast service
Mbone multicast backbone
MCF medium-access coordination function
MCL mesh connectivity layer
MCU multipoint control unit
MD5 message digest 5
MDC multiple description coding
MDCT modified discrete cosine transform
MELP mixed-excitation linear prediction
MFC Microsoft Foundation Class
MIMO multiple-input multiple-output
MMP multipoint-to-multipoint
MMR mobile multi-hop relay
MMS Microsoft Media Server
MOS mean opinion score
MOSPF multicast open shortest path first
MPC multiple-pulse coding
MPDU MAC protocol data unit
MPE-FEC multiprotocol encapsulated FEC
MPEG Moving Picture Experts Group
MPLS multiprotocol label switching
MRP multicast routing protocol
MSDU MAC service data unit
MSE mean squared error
MVC multi-view video coding
NAL network abstraction layer
NAT network address translation
NAV network allocation vector
NGN next generation network
nrtPS non-real-time polling service
OC-N optical carrier level N
OFDM orthogonal frequency-division multiplex
OFDMA OFDM access
OLSR optimized link-state routing
OS operating system
OSPF open shortest path first
OTT one-way trip time
OWD one-way delay
P2P peer-to-peer
PAL phase alternating line
PARC Palo Alto Research Center
PCF point coordination function
PCM pulse code modulation
List of abbreviations xvii
25. PDA personal digital assistant
PER packet error rate
PES packetized elementary stream
PGP pretty good privacy
PHB per-hop behavior
PHY physical layer
PIFS PCF interframe spacing
PIM protocol-independent multicast
PIM-DM protocol-independent multicast-dense mode
PIM-SM protocol-independent multicast-sparse mode
PKC public key cryptography
PKI public key infrastructure
PLC packet loss classification
PLR packet loss rate
PLM packet-pair layered multicast
PMP point-to-multipoint
PNA progressive network architecture
POTS plain old telephone service
PQ priority queuing
PSI program specific information
PSNR peak signal-to-noise ratio
PSTN public-switched telephone network
QAM quadrature amplitude modulation
QMF quadrature mirror filter
QoE quality of experience
QoS quality of service
QPSK quadrature phase-shift keying
RBAR receiver-based autorate
RC Rivest Cipher
RCT reversible color transform
RDD rights data dictionary
RDT real data transport
RED random early detection/discard/drop
REL rights expression language
RIP routing information protocol
RLC receiver-driven layered congestion control
RLC run-length code
RLM receiver-driven layered multicast
ROTT relative one-way trip time
RPE regular pulse excitation
RPF reverse path forwarding
RSVP resource reservation protocol
RTCP real-time transport control protocol
RTP real-time transport protocol
rtPS real-time Polling Service
RTS request to send
xviii List of abbreviations
26. RTSP real-time streaming protocol
RTT round-trip time
RVLC reversible variable-length code
SAD sum of absolute differences
SAN storage area network
SBR spectral band replication
SCM superposition coded multicasting
SDM spatial-division multiplex
SDMA space-division multiple access
SDK software development kit
SDP session description protocol
SDTV standard definition TV
SECAM sequential color with memory
SFB scale factor band
SHA secure hash algorithm
SIF source input format
SIFS short interframe space
SIP session initiation protocol
SKC secret key cryptography
SLA service-level agreement
SLTA simulated live transfer agent
SMCC smooth multirate multicast congestion control
SMIL synchronized multimedia integration language
SMPTE Society for Motion Picture and Television Engineers
SPL sound pressure level
SRA source rate adaptation
SSP stream synchronization protocol
STB set-top box
STP short-term prediction
STS-N SONET Telecommunications Standard level N
SVC scalable video coding
TBTT too busy to talk
TCP transmission control protocol
TDAC time-domain aliasing cancellation
TDD time-division duplex
TDMA time-division multiple access
T-DMB terrestrial digital multimedia broadcasting
TFRC TCP-friendly rate control
TIA Telecommunication Industry Association
TOS type of service
TPEG Transport Protocol Experts Group
TTL time to live
UAC user agent client
UAS user agent server
UDP user datagram protocol
UED usage environment description
List of abbreviations xix
27. UGS unsolicited grant service
UL uplink
UMB ultra-mobile broadband
UMTS universal mobile telecommunications system
URI uniform resource identifier
URL uniform resource locator
VBR variable bitrate
VCD video CD
VCEG Video Coding Experts Group
VCL video coding layer
VDSL very-high-bitrate digital subscriber line
VFW Video for Windows
VLBV very-low-bitrate video
VO video object
VoD video on demand
VoIP voice over IP
VOP video object plane
VQ vector quantization
VRML virtual reality modeling language
VSB vestigial sideband
VSELP vector-sum-excited linear prediction
WAN wide area networks
WCDMA wideband CDMA
WEP wired equivalent privacy
WFQ weighted fair queuing
Wi-Fi wireless fidelity
WiMAX Worldwide Interoperability for Microwave Access
WLAN wireless local area network
WMN wireless mesh network
WMV Windows Media Video
WNIC wireless network interface card
WPAN wireless personal area network
WRALA weighted radio and load aware
WRED weighted random early detection
WT wavelet transform
WWW World Wide Web
XML extensible markup language
XrML extensible rights markup language
XOR exclusive OR
xx List of abbreviations
28. 1 Introduction to multimedia
networking
With the rapid paradigm shift from conventional circuit-switching telephone networks to
the packet-switching, data-centric, and IP-based Internet, networked multimedia computer
applications have created a tremendous impact on computing and network infrastructures.
More specifically, most multimedia content providers, such as news, television, and the
entertainment industry have started their own streaming infrastructures to deliver their
content, either live or on-demand. Numerous multimedia networking applications have
also matured in the past few years, ranging from distance learning to desktop video
conferencing, instant messaging, workgroup collaboration, multimedia kiosks, enter-
tainment, and imaging [1] [2].
1.1 Paradigm shift of digital media delivery
With the great advances of digital data compression (coding) technologies, traditional
analog TV and radio broadcasting is gradually being replaced by digital broadcasting. With
better resolution, better quality, and higher noise immunity, digital broadcasting can also
potentially be integrated with interaction capabilities.
In the meantime, the use of IP-based Internet is growing rapidly [3], both in business and
home usage. The quick deployment of last-mile broadband access, such as DSL/cable/T1
and even optical fiber (see Table 1.1), makes Internet usage even more popular [4]. One
convincing example of such popularity is the global use of voice over IP (VoIP), which is
replacing traditional public-switched telephone networks (PSTNs) (see Figure 1.1). More-
over, local area networks (LANs, IEEE 802.3 [5]) or wireless LANs (WLANs, also called
Wi-Fi, 802.11 [6]), based on office or home networking, enable the connecting integration
and content sharing of all office or home electronic appliances (e.g., computers, media
centers, set-top boxes, personal digital assistants (PDAs), and smart phones). As outlined in
the vision of the Digital Living Network Alliance (DLNA), a digital home should consist of
a network of consumer electronics, mobile and PC devices that cooperate transparently,
delivering simple, seamless interoperability so as to enhance and enrich user experiences
(see Figure 1.2) [7]. Even the recent portable MP3 players (such as the Microsoft Zune,
http://www.zune.net/en-US/) are equipped with Wi-Fi connections (see Figure 1.3). Wire-
less connections are, further, demanded outside the office or home, resulting in the fast-
growing use of mobile Internet whenever people are on the move.
These phenomena reflect two societal trends on paradigm shifts: a shift from digital
broadcasting to multimedia streaming over IP networks and a shift from wired Internet to
wireless Internet. Digital broadcasting services (e.g., digital cable for enhanced definition
TV (EDTV) and high-definition TV (HDTV) broadcasting, direct TV via direct broadcast
29. satellite (DBS) services [8], and digital video broadcasting (DVB) [9]) are maturing (see
Table 1.2), while people also spend more time on the Internet browsing, watching video or
movie by means of on-demand services, etc. These indicate that consumer preferences are
changing from traditional TV or radio broadcasts to on-demand information requests, i.e., a
move from “content push” to “content pull.” Potentially more interactive multimedia ser-
vices are taking advantage of bidirectional communication media using IP networks, as
evidenced by the rapidly growing use of video blogs and media podcasting. It can be
confidently predicted that soon Internet-based multimedia content will no longer be pro-
duced by traditional large-capital-based media and TV stations, because everyone can have
a media station that produces multimedia content whenever and wherever they want, as long
PBX
PBX
Router
Router
Router
Router
Router
IP Phone
IP Phone
Figure 1.1 The growing use of voice over IP (VoIP) is quickly replacing the usage of traditional
public-switched telephone networks (PSTNs): private branch exchanges (PBXs) are used to
make connections between the internal telephones of a private business.
Table 1.1 The rapid deployment of last-mile broadband access has made Internet
usage even more popular
Services/Networks Data rates
POTS 28.8–56 kbps
ISDN 64–128 kbps
ADSL 1.544–8.448 Mbps (downlink) 16–640 kbps (uplink)
VDSL 12.96–55.2 Mbps
CATV 20–40 Mbps
OC-N/STS-N N · 51.84 Mbps
Ethernet 10 Mbps
Fast Ethernet 100 Mbps
Gigabit Ethernet 1000 Mbps
FDDI 100 Mbps
802.11b 1, 2, 5.5, and 11 Mbps
802.11a/g 6–54 Mbps
2 Introduction to multimedia networking
30. as they have media-capturing devices (e.g., digital camera, camcorder, smart phone, etc.)
with Internet access (see Figure 1.4). A good indication of this growing trend is the recent
formation of a standardization body for TV over IP (IPTV) [10], i.e., the IPTV Interoper-
ability Forum (IIF), which will develop ATIS (Alliance for Telecommunications Industry
Location-
free
TV
Location-
free
TV
FMC
Multimedia wireless
router/gateway
STB with
wireless
dongle WiFi
Camera
Wi-Fi
enabled
STB/PVR
Figure 1.3 WLAN-based office or home networking enables the connecting, integration, and content
sharing of all office or home electronic appliances (www.ruckuswireless.com).
Broadband
Media
Broadcast
Customers want
their devices to work
together any time,
any place
Mobile Multimedia
Entertainment,
E-Business
Services
Entertainment,
Personal Media and
Video Services
Pre-Recorded
Content,
Personal Media
Video and Movie
Services, Entertainment
Figure 1.2 The vision of the Digital Living Network Alliance (DLNA) [7].
1.1 Paradigm shift of digital media delivery 3
31. Solutions) standards and related technical activities that enable the interoperability, inter-
connection, and implementation of IPTV systems and services, including video-on-demand
and interactive TV services.
The shift from wired to wireless Internet is also coming as a strong wave (see Figure 1.5)
[12] [24]. The wireless LAN (WLAN or the so-called Wi-Fi standards) technologies, IEEE
802.11a/b/g and the next generation very-high-data-rate (> 200 Mbps) WLAN product
IEEE 802.11n, to be approved in the near future, are being deployed everywhere with very
affordable installation costs [6]. Also, almost all newly shipped computer products and more
and more consumer electronics come with WLAN receivers for Internet access. Further-
more wireless personal area network (WPAN) technologies, IEEE 802.15.1/3/4 (Bluetooth/
UWB/Zigbee), which span short-range data networking of computer peripherals and con-
sumer electronics appliances with various bitrates, provide an easy and convenient mech-
anism for sending and receiving data to and from the Internet for these end devices [14]. To
provide mobility support for Internet access, cellular-based technologies such as third
generation (3G) [14] [15] networking are being aggressively deployed, with increased
multimedia application services from traditional telecommunication carriers. Furthermore,
Table 1.2 Digital broadcasting is maturing [11]
Region Fixed reception standards
Mobile reception
standards
Europe, India Australia,
Southeast Asia
DVB-T DVB-H
North America ATSC DVB-H
Japan ISDB-T ISDB-T one-segment
Korea ATSC T-DMB
China DVB-T/T-DMB/CMMB
Satellite
Broadcasting Mobile
Reception
Terrestrial
Broadcasting
Broadcasting
Station
Internet Service
Provider
Archive
Online
Storage
Broadband
Cable TV
Home
GW
STB
PDA
Printer
Home Network
Home Server
VCR
PC
Figure 1.4 Interactive multimedia services take advantage of the bidirectional communication media
of IP networks.
4 Introduction to multimedia networking
32. mobile wireless microwave access (WiMAX) serves as another powerful alternative to mobile
Internet access from data communication carriers. Fixed or mobile WiMAX (IEEE 802.16d
and 802.16e) [16] [17] can also serve as an effective backhaul for WLAN whenever this is
not easily available, such as in remote areas or moving vehicles with compatible IP protocols
(see Figure 1.6).
1.2 Telematics: infotainment in automobiles
Another important driving force for wireless and mobile Internet is telematics, the integrated
use of telecommunications and informatics for sending, receiving, and storing information via
telecommunication devices in road-traveling vehicles [18]. The telematics market is rolling
out fast thanks to the growing installation in vehicles of mobile Internet access, such as the
general packet radio service (GPRS) or 3G mobile access [12]. It ranges from front-seat
500 Mb/s
100 Mb/s
11 Mb/s
Throughput
500 kb/s
50 kb/s
Range
UWB
NFC
HSDPA
Zigbee
WiMAX
3G
WiFi
BlueTooth
10 m 10 km
100 m
Figure 1.5 The WLAN technologies, IEEE 802.11 a/b/g/n, are being deployed everywhere with
very affordable installation costs. Furthermore, the WPAN technologies, IEEE 802.15.1/3/4,
provide an easy and convenient mechanism for sending or receiving data to or from the internet
for these end devices [24].
WiMAX SSs
WiMAX BS
WiMAX/Wi-Fi
wireless routers
Wireless
nodes
1
2
Figure 1.6 Fixed or mobile WiMAX (IEEE 802.16d/e) can serve as an effective backhaul
for WLAN [23] (ª IEEE 2007).
1.2 Telematics: infotainment in automobiles 5
33. information and entertainment (infotainment) such as navigation, traffic status, hand-free
communication, location-aware services, etc. to back-seat infotainment, such as multimedia
entertainment and gaming, Internet browsing, email access, etc. Telematics systems have also
been designed for engine and mechanical monitoring, such as remote diagnosis, care data
collection, safety and security, and vehicle status and location monitoring. Figure 1.7 shows
an example of new vehicles equipped with 3G mobile access (www.jentro.com).
In addition to the growing installation of mobile Internet access in vehicles, it is also
important to note the exponentially growing number of WLAN and WPAN installations on
vehicles (see Figure 1.8). This provides a good indication of the wireless-access demand for
Mercedes In-Vehicle PC for 3G/UMTS
Command System
10” Display
640 x 480
Inki. Touch
Wireless
Keyboards
mitTouchpad
In-Car Pc
Linux + Java
GPS
GPS
Audio
Front-Seat
Back-Seat
WebCam Mikrofon 15” Displays
1024 x 768
Ethernet
In-Car Pcs
Unix + Java
(uptp 384 kbps)
UMTS
Gateway
www.jentro.com
Figure 1.7 An example of new vehicles equipped with 3G mobile access provided by Jentro
Technology (www.jentro.com).
25
20
15
10
5
0
2002
0 0.2
1.0
Installed
Vehicle
Base
(Millions)
2.8
6.5
Installed Base of Vehicles With Factory-Fitted Bluetooth
or 802.11 Hardware
World Market, 2002–2008
(Source: Allied Business Intelligence Inc.)
12.3
24.9
2003 2004 2005 2006 2007 2008
Figure 1.8 The plot shows the exponentially growing number of WLAN and WPAN
installations on vehicles (www.linuxdevices.com/news/NS2150004408.html).
6 Introduction to multimedia networking
34. vehicles in a local vicinity, e.g., inside a parking lot and moving with a slow speed yet still
enjoying location-aware services.
1.3 Major components of multimedia networking
Multimedia is defined as information content that combines and interacts with multiple
forms of media data, e.g., text, speech, audio, image, video, graphics, animation, and
possibly various formats of documents. There are four major components that have to be
carefully dealt with to allow the successful dissemination of multimedia data from one end
to the other [1]. Such a large amount of multimedia data is being transmitted through
Internet protocol (IP) networks that, even with today’s broadband communication ability,
the bandwidth is still not enough to accommodate the transmission of uncompressed data
(see Table 1.3). The first major component of multimedia networking is the data com-
pression (source encoding) of multimedia data sources (e.g., speech, audio, image, and
video). For different end terminals to be able to decode a compressed bitstream, inter-
national standards for these data compression schemes have to be introduced for inter-
operability. Once the data are compressed, the bitstreams will be packetized and sent over
the Internet, which is a public, best-effort, wide area network (as shown in Figure 1.9). This
brings us to the second major component of multimedia networking, quality of service
(QoS) issues [19] [20], which include packet delay, packet loss, jitter, etc. These issues can
be dealt with either from the network infrastructure or from an application level.
Furthermore, wireless networks have been deployed widely as the most popular last-
mile Internet access technology in homes, offices, and public areas in recent years. At the
same time, mobile computing devices such as PDAs, smart phones, and laptops have been
improved dramatically in not only their original functionalities but also their communi-
cation capabilities. This combination creates new services and an unstoppable trend of
Table 1.3 The bandwidth requirement of raw digital data without compression
Source Bandwidth (Hz) Sampling rate (Hz) Bits per sample Bitrate
Telephone voice 200–3400 8000 samples/s 12 96 kbps
Wideband speech 50–7000 16 000 14 224 kbps
Wideband audio
(2 channels)
20–20 000 44 100 samples/s 16 per channel 1.412 Mbps (2
channels)
B/W documents 300 dpi (dots per inch) 1 90 kb per inch2
Color image 512 · 512 24 6.3 Mb per image
CCIR-601 (NTSC) 720 · 576 · 25 (DVD) 24 248.8 Mbps
CCIR-601 (PAL) 720 · 576 · 25 24 248.8 Mbps
Source input format
(SIF)
352 · 240 · 30 (VCD) 12 30 Mbps
Common intermediate
format (CIF)
352 · 288 · 30 12 37 Mbps
Quarter CIF (QCIF) 176 · 144 · 7.5 12 2.3 Mbps
High definition DVD 1920 · 1080 · 30 24 1492 Mbps
1.3 Major components of multimedia networking 7
35. converting everything to wireless, for almost everything and everywhere [12]. In ensuring
the effective dissemination of compressed multimedia data over IP-based wireless
broadband networks, the main challenges result from the integration of wired and wireless
heterogeneous networking systems; in the latter the QoS is further degraded by the
dynamically changing end-to-end available bandwidth caused by the wireless fading or
shadowing and link adaptation. This constitutes the third major component of today’s
multimedia networking. Moreover, the increased occurrence of wireless radio transmis-
sion errors also results in a higher bursty rate of packet loss than for wired IP networks. To
overcome all these extra deficiencies due to wireless networks, several additional QoS
mechanisms, spanning from physical, media access control (MAC), network and application
layers, have to be incorporated.
There are numerous multimedia networking applications: digital broadcasting and IP
streaming and meeting and/or messaging have been widely deployed. These applications
will continue to be the main driving forces behind multimedia networking. The proliferation
of digital media makes interoperability among the various terminals difficult and also makes
illegal copying and falsification easy (see Figure 1.10); therefore, the fourth major com-
ponent of multimedia networking consists of ensuring that the multimedia-networked
content is fully interoperable, with ease of management and standardized multimedia
content adapted for interoperable delivery, as well as intellectual property management and
protection (i.e., digital rights management, DRM [21]), effectively incorporated in the
system [22].
Media Server Fiber
Internet
Streaming client
DSL/Cable
WLAN/WiMAX/3G
Figure 1.9 The compressed multimedia data are packetized and sent over the Internet, which
is a public best-effort wide area network.
Analog
Digital
Original Copy 1 Copy 2
Original Copy 1 Copy 2
Figure 1.10 The proliferation of digital media makes illegal copying and falsification easy.
8 Introduction to multimedia networking
36. Providing an in-depth understanding of the four major components mentioned above,
from both theoretical and practical perspectives, was the motivation for writing this book: it
covers the fundamental background as well as the practical usage of these four components.
To facilitate the learning of these subjects, specially designed multimedia coding and
networking laboratory contents have been used in order to provide students with practical
and hands-on experience in developing multimedia networking systems. The coverage and
materials of this book are appropriate for a one-semester first-year graduate course.
1.4 Organization of the book
This book is organized as follows. Chapters 2–5 cover the first major component of
multimedia networking, i.e., standardized multimedia data compression (encoding and
decoding). More specifically, we discuss four types of medium, including speech, audio,
image and video, each medium being covered in one chapter. The most popular com-
pression standards related to these four media are introduced and compared from a tradeoff
perspective. Thanks to the advances in standardized multimedia compression technologies,
digital multimedia broadcasting is being deployed all over the world. In Chapter 6 we
discuss several types of popular digital multimedia (video) broadcasting that are widely
used internationally. Chapters 7 and 8 focus on QoS techniques for multimedia streaming
over IP networks, ranging over the MAC, network, transport, and application layers of IP
protocols. Several commercially available multimedia streaming systems are also covered
in detail. In Chapters 9 and 10 we discuss specifically advances in wireless broadband
technologies and the QoS challenges of multimedia over these wireless broadband
infrastructures, again in terms of the layers of IP protocols. Chapter 11 deals with digital
rights management (DRM) technologies for multimedia networking and the related
standardization efforts. To provide readers with a hands-on learning experience of
multimedia networking, many development software samples for multimedia data cap-
turing, compression, streaming for PC devices, as well as GUI designs for multimedia
applications, are provided in Chapter 12.
References
[1] Jerry D. Gibson, Multimedia Communications: Directions and Innovations, Communication,
Networking and Multimedia Series, Academic Press, 2000.
[2] K. R. Rao, Z. S. Bojkovic, and D. A. Milovanovic, Multimedia Communication Systems:
Techniques, Standards, and Networks, Prentice Hall, 2002.
[3] “Internet world stats: usage and population Statistics,” http://www.internetworldstats.com/
stats.htm.
[4] “Broadband internet access,” http://en.wikipedia.org/wiki/Broadband_Internet_access.
[5] “IEEE 802.3 CSMA/CD (Ethernet),” http://grouper.ieee.org/groups/802/3/.
[6] “IEEE 802.11 wireless local area networks,” http://grouper.ieee.org/groups/802/11/.
[7] “DLNA overview and vision whitepaper 2007,” http://www.dlna.org/en/industry/
pressroom/DLNA_white_paper.pdf.
[8] “Direct TV,” http://www.directv.com/DTVAPP/index.jsp.
[9] “Digital video broadcasting: the global standard for digital television,” http://www.
dvb.org/.
[10] “The IPTV interoperability forum (IIF),” http://www.atis.org/iif/.
1.4 Organization of the book 9
37. [11] S. Levi, “Designing encoders and decoders for mobile terrestrial broadcast digital
television systems,” in Proc. TI Developer Conf., April 2006.
[12] A. Ganz, Z. Ganz, and K. Wongthavarawat, Multimedia Wireless Networks: Technologies,
Standards, and QoS, Prentice Hall, 2003.
[13] “IEEE 802.15 Working Group for WPAN,” http://www.ieee802.org/15/.
[14] “The 3rd Generation Partnership Project (3GPP)” http://www.3gpp.org/.
[15] “The 3rd Generation Partnership Project 2 (3GPP2),” http://www.3gpp2.org/.
[16] “The IEEE 802.16 Working Group on broadband wireless access standards,” http://grouper.
ieee.org/groups/802/16/.
[17] “The WiMAX forum,” http://www.wimaxforum.org/home/.
[18] M. McMorrow, “Telematics – exploiting its potential,” IET Manufacturing Engineer, 83(1):
46–48, February/March 2004.
[19] A. Tanenbaum, Computer Networks, Prentice Hall, 2002.
[20] M. A. El-Gendy, A. Bose, and K. G. Shin, “Evolution of the Internet QoS and support for soft
real-time applications,” Proc. IEEE, 91(7): 1086–1104, July 2003.
[21] S. R. Subramanya, Byung K. Yi, “Digital rights management,” IEEE Potential, 25(2): 31–34,
March/April 2006.
[22] W. Zeng, H. Yu, and C.-Y. Lin, Multimedia Security Technologies for Digital Rights Man-
agement, Elsevier, 2006.
[23] D. Niyato and E. Hossain, “Integration of WiMAX and WiFi: optimal pricing for bandwidth
Sharing,” IEEE Commun. Mag., 45(5): 140–146, May 2007.
[24] Y.-Q. Zhang, “Advances in mobile computing,” keynote speech in IEEE Conf. on Multimedia
Signal Processing, Victoria BC, October 2006.
10 Introduction to multimedia networking
38. 2 Digital speech coding
The human vocal and auditory organs form one of the most useful and complex
communication systems in the animal kingdom. All speech (voice) sounds are formed by
blowing air from the lungs through the vocal cords (also called the vocal fold), which act like
a valve between the lung and vocal tract. After leaving the vocal cords, the blown air continues
to be expelled through the vocal tract towards the oral cavity and eventually radiates out from
the lips (see Figure 2.1). The vocal tract changes its shape with a relatively slow period
(10 ms to 100 ms) in order to produce different sounds [1] [2].
In relation to the opening and closing vibrations of the vocal cords as air blows over them,
speech signals can be roughly categorized into two types of signals: voiced speech and
unvoiced speech. On the one hand, voiced speech, such as vowels, exhibit some kind of
semi-periodic signal (with time-varying periods related to the pitch); this semi-periodic
behavior is caused by the up–down valve movement of the vocal fold (see Figure 2.2(a)). As
a voiced speech wave travels past, the vocal tract acts as a resonant cavity, whose resonance
produces large peaks in the resulting speech spectrum. These peaks are known as formants
(see Figure 2.2(b)).
On the other hand, the hiss-like fricative or explosive unvoiced speech, e.g., the sounds,
such as s, f, and sh, are generated by constricting the vocal tract close to the lips (see Figure
2.3(a)). Unvoiced speech tends to have a nearly flat or high-pass spectrum (see Figure 2.3(b)).
The energy in the signal is also much lower than that in voiced speech.
The speech sounds can be converted into electrical signals by a transducer, such as a
microphone, which transforms the acoustic waves into an electrical current. Since most
human speech contains signals below 4 kHz then, according to the sampling theorem
[4] [5], the electrical current can be sampled (analog-to-digital converted) at 8 kHz as
discrete data, with each sample typically represented by eight bits. This 8-bit representation,
in fact, provides 14-bit resolution by the use of quantization step sizes which decrease
logarithmically with signal level (the so-called A-law or l-law [2]). Since human ears are
less sensitive to changes in loud sounds than to quiet sounds, low-amplitude samples can
be represented with greater accuracy than high-amplitude samples. This corresponds to an
uncompressed rate of 64 kilobits per second (kbps).
In the past two to three decades, there have been great efforts towards further reductions
in the bitrate of digital speech for communication and for computer storage [6] [7]. There
are many practical applications of speech compression, for example, in digital cellular
technology, where many users share the same frequency bandwidth and good compression
allows more users to share the system than otherwise possible. Another example is in
digital voice storage (e.g., answering machines). For a given memory size, compression
[3] allows longer messages to be stored. Speech coding techniques can have the following
attributes [2]:
39. Vocal Tract
Vocal Cords
Air from Lung
Speech
Figure 2.1 The human speech-production mechanism [3].
pitch
Amplitude
(dB)
0 20
(a) (b)
40 60
120
100
80
60
formant
40
0 2 4 8
6
Time (ms) Frequency (kHz)
F4
F1
F1
F2
Figure 2.2 Voiced speech can be considered as a kind of semi-periodic signal.
Amplitude
(dB)
(a) (b)
90
70
80
60
50
0 2 4 8
6
0 20 40 60
Time (ms) Frequency (kHz)
Figure 2.3 Hiss-like fricative or explosive unvoiced speech is generated by constricting the
vocal tract close to the lips.
12 Digital speech coding
40. (1). Bitrate This is 800 bps – 16 kbps, most 4.8 kbps or higher, normally the sample-based
waveform coding (e.g., ADPCM-based G.726 [8]) has a relatively higher bitrate, while
block-based parametric coding has a lower bitrate.
(2). Delay The lower-bitrate parametric coding has a longer delay than waveform coding;
the delay is about 3–4 times the block (frame) size.
(3). Quality The conventional objective mean square error (MSE) is only applicable to
waveform coding and cannot be used to measure block-based parametric coding, since
the reconstructed (synthesized) speech waveform after decoding is quite different from
the original waveform. The subjective mean opinion score (MOS) test [9], which uses
20–60 untrained listeners to rate what is heard on a scale from 1 (unacceptable) to 5
(excellent), is widely used for rating parametric coding techniques.
(4). Complexity This used to be an important consideration for real-time processing but
is less so now owing to the availability of much more powerful CPU capabilities.
2.1 LPC modeling and vocoder
With current speech compression techniques (all of which are lossy), it is possible to reduce
the rate to around 8 kbps with almost no perceptible loss in quality. Further compression is
possible at the cost of reduced quality. All current low-rate speech coders are based on the
principle of linear predictive coding (LPC) [10] [11], which assumes that a speech signal s
(n) can be approximated as an auto-regressive (AR) formulation
^
s n
ð Þ ¼ e n
ð Þ þ
X
p
k¼1
aks n k
ð Þ ð2:1Þ
or as an all-pole vocal tract filter, H(z):
HðzÞ ¼
1
AðzÞ
¼
1
1
P
p
k¼1
akzk
; ð2:2Þ
where the residue signal e(n) is assumed to be white noise and the linear regression coef-
ficients {ak} are called LPC coefficients. The LPC-based speech coding system is illustrated
in Figure 2.4 [12]; note that a speech “codec” consists of an encoder and a decoder. This
LPC modeling, which captures the formant structure of the short-term speech spectrum, is
also called short-term prediction (STP).
Commonly the LPC analysis on synthesis filter has order p equal to 8 or 10 and the
coefficients {ak} are derived on the basis of a 20–30 ms block of data (frame). More
specifically, the LPC coefficients can be derived by solving a least squares solution
assuming that {e(n)} are estimation errors, i.e., solving the following normal (Yule–Walker)
linear equation:
rsð1Þ
rsð2Þ
rsð3Þ
.
.
.
rsðpÞ
2
6
6
6
6
6
4
3
7
7
7
7
7
5
¼
rsð0Þ rsð1Þ rsð2Þ rsðp 1Þ
rsð1Þ rsð0Þ rsð1Þ rsðp 2Þ
rsð2Þ rsð1Þ rsð0Þ
.
.
. .
.
. .
.
. ..
. .
.
.
rsðp 1Þ rsðp 2Þ rsðp 3Þ rsð0Þ
2
6
6
6
6
6
4
3
7
7
7
7
7
5
a1
a2
a3
.
.
.
ap
2
6
6
6
6
6
4
3
7
7
7
7
7
5
ð2:3Þ
2.1 LPC modeling and vocoder 13
41. where the autocorrelation rs(k) is defined as
rsðkÞ ¼
X
Nk1
n ¼ 0
sðnÞsðn þ kÞ: ð2:4Þ
Owing to the special Toeplitz matrix structure of the Yule–Walker linear equation, the LPC
coefficients {ak} can be solved using the efficient Levinson–Durbin recursion algorithm [12].
A complete LPC-based voice coder (vocoder) consists of an analysis performed in the encoder
(see the upper part of Figure 2.4), which determines the LPC coefficients {ak} and the gain
parameter G (a side product of the Levinson–Durbin recursion in solving for the {ak} coeffi-
cients) and, for each frame, a voice/unvoiced decision with pitch period estimation. As shown in
Figure 2.5, this is achieved through a simplified (ternary valued) autocorrelation (AC) calcu-
lation method. The pitch-period search is confined to Fs/350 and Fs/80 samples (i.e., 23–100
samples) or, equivalently, the pitch frequency is confined to between 80 to 350 Hz. Pitch period
estimation is sometimes called long-term prediction (LTP), since it captures the long-term
correlation, i.e., periodicity, of the speech signals. The autocorrelation function R(k) is given by
RðkÞ ¼
X
Nk1
m ¼ 0
xc
ðmÞxc
ðm þ kÞ; ð2:5Þ
where
xc
n
ð Þ ¼
þ1 if x n
ð Þ CL;
1 if x n
ð Þ CL;
0 otherwise;
8
:
where CL denotes the threshold, which is equal to 30% of the maximum of the absolute value of
{x(n)} within this frame. The 10 LPC coefficients {ak}, together with the pitch period and gain
parameters, are derived on the basis of 180 samples (22.5 ms) per frame and are encoded at 2.4
Encoder
Decoder
Analysis:
Original Speech
Voiced/Unvoiced decision
Pitch Period (voiced only)
Pitch
Period
Pulse Train
Signal Power
Vocal Tract
Model
Synthesized Speech
V/U
Random Noise
Signal Power (Gain)
s(n)=e(n)+aks(n–k)
^
p
k=1
Figure 2.4 A typical example of a LPC-based speech codec.
14 Digital speech coding
42. kbps for transmission or storage (according to the LPC-10 or FS-1015 standards) [13] [14]. The
decoder is responsible for synthesizing the speech using the coefficients and parameters in the
flow chart shown in the lower part of Figure 2.4. The 2.4 kbps FS-1015 was used in various low-
bitrate and secure applications, such as in defense or underwater communications, until 1996,
when the 2.4 kbps LPC-based standard was replaced with the new mixed-excitation linear
prediction (MELP) coder [15][16] by the United States Department of Defense Voice Pro-
cessing Consortium (DDVPC). The MELP coder is based on the LPC model with additional
features that include mixed excitation, aperiodic pulses, adaptive spectral enhancement, pulse
dispersion filtering, and Fourier magnitude modeling.
Even though the speech synthesized from the LPC vocoder is quite intelligible it does sound
somewhat unnatural, with MOS values [9] ranging from 2.7 to 3.3. This unnatural speech
quality results from the over-simplified representation (i.e., one impulse per pitch period) of the
residue signal e(n), which can be calculated from Eq. (2.5) after the LPC coefficients have been
derived (see Figure 2.6). To improve speech quality, many other (hybrid) speech coding
standards have been finalized, all having more sophisticated representations of the residue
signal e(n), as shown in Figure 2.6:
e n
ð Þ ¼ sðnÞ
X
p
k¼1
aks n k
ð Þ: ð2:6Þ
To further improve the representation of the residue signal e(n), long-term prediction (LTP)
can be applied by first removing the periodic redundancy caused by the semi-periodic pitch
movement. More specifically, each frame of speech (20 or 30 ms) is divided into four
uniform subframes, each with Nsf samples, taking each of the subframe samples backwards
to find the best-correlated counterpart (which has a time lag of p samples) having the
necessary gain factor b. The LTP-filtered signal is called the excitation u(n) and has an even
smaller dynamic range; it can thus be encoded more effectively (see Figure 2.7). Different
Speech
Frame
x(n)
Compute
Rn (0)
Compute
R = max {Rn(k)}
Compute AC
Rn(k) for
Fs /350 k Fs /80
LPF
Fc =900Hz
CL= 30% of
max |x(n)| Clip x (n)
if R 30% of Rn (0) then frame is voiced,
else frame is unvoiced.
Figure 2.5 The voiced or unvoiced decision with pitch period estimation is achieved through
a simplified autocorrelation calculation method (http://www.ee.ucla.edu/~ingrid/ee213a/speech/
speech.html).
2.1 LPC modeling and vocoder 15
43. encoding of the excitation signals (with also some slight variations in STP analysis) leads to
different speech coding standards (see Table 2.1), e.g.,
(1). Regular pulse excitation (RPE) This is used mainly to encode the magnitude of
selected (uniformly decimated) samples; e.g., GSM [17] [18] [19].
(2). Code-excited linear prediction (CELP) This is used mainly to encode excitations
based on pre-clustered codebook entries, i.e., magnitude and locations are both
important; e.g., CELP [20], G.728 [21] [22], and VSELP [23].
(3). Multiple pulse coding (MPC) This is used mainly to encode the locations of selected
samples (pulses with sufficiently large magnitude); e.g., G.723.1 [24] and G.729 [25].
2.2 Regular pulse excitation with long-term prediction
The global system for mobile communications (GSM) [17] [18] [19] standard, the digital
cellular phone protocol defined by the European Telecommunication Standards Institute
(ETSI, http://www.etsi.org/), derives eight-order LPC coefficients from 20 ms frames and
0.6
0.5
0.4
0.3
0.2
0.1
0 0
–0.1
–0.2
0.5
0.4
0.3
0.2
0.1
–0.1
–0.2
–0.3
0 100 200 300 400 500
Original speech s(n) Prediction residue e(n)
600 700 800 900 1000 0 100 200 300 400 500 600 700 800 900 1000
Figure 2.6 The prediction residue signal e(n) of LPC can be calculated from Eq. (2.5) after
the LPC coefficients have been derived.
e(n)
u(n)
Nsf
P (z ) = 1– bz–P
Nsf = 40 or 60 samples (5 or 7.5ms)
Nsf Nsf Nsf
Figure 2.7 The LTP-filtered signal, the excitation u(n), has an even smaller dynamic range
than the unfiltered signal and can thus be encoded more effectively.
16 Digital speech coding
44. uses a regular pulse excitation (RPE) encoder over the excitation signal u(n) after redun-
dancy removal with long-term prediction (LTP). More specifically, GSM sorts each sub-
frame (5 ms, 40 samples) after LTP into four sequences:
(1). sequence 1: 0 3 6 9 . . . 36
(2). sequence 2: 1 4 7 10 . . . 37
(3). sequence 3: 2 5 8 11 . . . 38
(4). sequence 4: 3 6 9 12 . . . 39
Only one sequence, the highest-energy sequence among the four, per subframe is selected
for encoding. Each sample of the selected sequence is quantized at three bits (instead of the
original sampling of 13 bits). This is called an optimized RPE (ORPE) sequence. The bit
allocation of each GSM frame (20 ms) is shown in Table 2.2 for the case when 260 bits are
used per frame, resulting in a total bitrate of 13 kbps. The overall operations of a GSM
encoder are shown in Figure 2.8 and those of a GSM decoder in Figure 2.9.
Table 2.1 Various encodings of excitation signals (with also some slight variations in STP analysis) and the
corresponding speech coding standards
Standards Year Bitrate (kbps) MOS
PCM (PSTN) 1972 64 4.4
LPC-10 (FS-1015) 1976 2.4 2.7
(1996) (3.3)
G.726 (ADPCM, G.721) 1990 16, 24, 32, 40 4.1 (32 kbps)
GSM (RPE-LTP) 1987 13 3.7
CELP (FS-1016) 1991 4.8 3.2
G.728 (LD-CELP) 1992 16 4
VSELP (IS-54) 1992 8 3.5
G.723.1 (MPC-MLQ) 1995 6.3/5.3 3.98/3.7
G.729 (CS-ACELP) 1995 8 4.2
Table 2.2 There are 260 bits allocated for each GSM frame
(20 ms), resulting in a total bitrate of 13 kbps
Parameters
Bits per
subframe
Bits per
frame
LPC coefficients – 36
LTP lag 7 28
LTP gain 2 8
ORPE subsequence scaling
factor
6 24
ORPE subsequence index 2 8
ORPE subsequence values 39 156
Total 56 260
2.2 Regular pulse excitation with long-term prediction 17
45. 2.3 Code-excited linear prediction (CELP)
The RPE uses a downsampled version of excitation signals to represent the complete
excitation, while a code-excited linear prediction (CELP) coder uses a codebook entry from
a vector quantized (VQ) codebook to represent the excitation; see Figure 2.10. In this figure,
P(z) is the LTP filter and 1/P(z) is used to compensate for the difference operation performed in
the LTP filtering (i.e., recovering u(n) back to e(n)); the 1/A(z) filter synthesizes the speech s
^(n)
to be compared with the original speech s(n). The objective of encoding the excitations is to
choose the codebook entry (codeword) that minimizes the weighted error between the syn-
thesized and original speech signals. This technique, referred to as analysis by synthesis, is
widely used in CELP-based speech coding standards. The analysis by synthesis technique
simulates the decoder in the encoder so that the encoder can choose the optimal configuration,
or tune itself for the best parameters, to minimize the weighted error calculated from the
original speech and the reconstructed speech (see Figure 2.11).
The perceptual weighting filter A(Z)/A(Z/c), c 0.7, is used to provide different
weighting on the error signals by allowing for more error around the resonant formant
Digital input
signal
Ideal Residual Pulse
Excitation Source Sequence
LPC Reflection
Coefficients
LTP Lag and
LTP Gain
LPC Analysis
LTP Analysis
Reconstructed RPFs
RPE
Optimizer
Residual Pulse
Excitation Optimization
Sequence
Figure 2.8 A GSM encoder.
260-bit GSM Frame
LPC Systhesis Filter
Speech
Output
ORPE
Optimized RPE
Generator
LTP Decoder
Reconstructed
RPEs
Figure 2.9 A GSM decoder.
18 Digital speech coding
46. frequencies (by widening the bandwidth of spectral resonance), since human ears are
less sensitive to the error around those frequencies. A typical perceptual weighting
filter frequency response, given the original LPC filter frequency response, is presented in
Figure 2.12 for various values of c.
The US Federal Standard FS-1016 [20] is based on CELP techniques with 4.8 kbps data
rate. The index of the chosen codeword is encoded for transmission or storage. An effective
algorithm for the codeword search was developed so that a CELP coder can be implemented
in real time using digital signal processors. In FS-1016, 10 LPC coefficients were derived
from each 30 ms frame and there are 512 codewords in the excitation codebook, each
codeword having 7.5 ms (60 samples) of ternary valued (þ1, 0, 1) excitation data. The
FS-1016 is currently not widely used since its successor, MELP [15], provides better
performance in all applications, even though CELP was used in some secure applications as
well as adopted in MPEG-4 for encoding natural speech for 3G cellular phones.
Another CELP-based speech coder is the low-delay CELP G.728 (LD-CELP) [21] [22],
which provides 16 kbps speech with a quality similar to that of the 32 kbps speech provided by
the ADPCM waveform-based G.726 speech coding. The G.728 speech coder is widely used in
Codebook
Speech
1
l
1
Codebook
P(z) A(z)
s(n)
s(n)
^
000
004
008
012
001
005
009
013
002
006
010
014
0 60 time/sample
Weighted
Error
003
007
011
015
A(z)
A(z/ )
l
+
–
Figure 2.10 A CELP coder uses a codebook entry from a vector-quantized codebook to
represent the excitation.
Figure 2.11 The analysis by synthesis technique simulates the decoder in the encoder so that the
encoder can choose the optimal configuration to minimize the weighted error calculated from the
original speech and the reconstructed speech.
2.3 Code-excited linear prediction (CELP) 19
47. voice over cable or voice over IP (VoIP) teleconferencing applications through packet networks.
For G.728, 50th-order LPC coefficients were derived recursively, on the basis of its immediate
16 past outputs (there was no need to transmit the LPC coefficients since they can be computed in
the receiver side in a recursive backward-adaptive fashion) and there are 1024 codewords
contained in the excitation codebook, each codeword having only five samples of excitation data.
The major drawback of CELP-based speech coding is the very large computational require-
ments. To overcome this requirement, the vector sum excited linear prediction (VSELP) speech
coder [23], which also falls into the CELP class, utilizes a codebook with a structure that allows
for a very efficient search procedure. This VSELP coder (see Figure 2.13), at 8 kbps with 20 ms/
frame, was selected by the Telecommunication Industry Association (TIA, http://www.tiaonline.
org/) as the standard for use in North American TDMA IS-54 digital cellular telephone systems.
As shown in Figure 2.13, the VSELP codec contains two separate codebooks (k ¼ 1 or 2),
each of which can contribute 2M
¼ 27
¼ 128 codevectors (in fact there are only 64 distinct
patterns since u(n) and –u(n) are regarded as the same signal pattern) if constructed as a
linear combination of M ¼ 7 basis vectors {vk,m (n), m ¼ 1, 2, . . . , M},
uk;iðnÞ ¼
X
M
m ¼ 1
hi;kvk;mðnÞ and uðnÞ ¼ viu1;iðnÞ þ v2u2;jðnÞ; ð2:7Þ
where uk,i (n) denotes the ith codevector in the kth codebook; vk,m (n) denotes the mth basis
vector of the kth codebook and hi,m ¼ 1; u(n) denotes the resulting combined excitation
signal, which should be further compensated by inverse LTP filtering,
1
pðzÞ
¼
1
1 bzT
;
to recover e(n) from u(n). The pitch pre-filter and spectral post-filter are also used to further
finetune the estimated parameters for a better synthesis.
The bit allocation of each VSELP frame (20 ms long) is shown in Table 2.3; 160 bits are
used per frame, resulting in a total bitrate of 8 kbps.
Magnitude
(dB)
0.0 1.0 2.0
Frequency (kHz)
3.0 4.0
Original Envelope
g=0.98
g=0.95
g=0.90
g=0.80
g=0.70
g=0.50
Figure 2.12 A typical perceptual weighting filter frequency response, given the original
LPC filter frequency response, for various values of c.
20 Digital speech coding
48. 2.4 Multiple-pulse-excitation coding
Another main category of speech coding is based on encoding only the locations of large
enough pulses (i.e., the excitations u(n) after LTP). The speech coder G.723.1 [24] [26] [27]
provides near toll-phone quality transmitted speech signals. This type of speech coder has
been standardized for internet speech transmission. The G.723.1 processes the speech using
30 ms frames, each 7.5 ms subframe containing 60 samples.
The 10th-order LPC analysis is based on a 60 sample subframe (i ¼ 0, 1, 2, 3) but is only
performed on the last subframe (i ¼ 3) of each frame. The LPC coefficients are then converted
into line spectral pairs (LSPs), which are defined to be the roots of P(z) and Q(z), where
PðzÞ ¼ AðzÞ þ zp
Aðz1
Þ;
QðzÞ ¼ AðzÞ zp
Aðz1
Þ:
ð2:8Þ
This ensures better stability during the quantization process.
Long Term
Filter State
Codebook 1
Codebook 2
I
T
b
a
g1
g2
H
bL(n)
e(n)
Synthesis
filter Output
Speech
Spectral
post-filter
“pitch”
pre-filter
1
A(z)
Figure 2.13 The VSELP codec contains two separate codebooks, each of which can contribute
27
¼ 128 distinct code vectors.
Table 2.3 There are 160 bits allocated for each VSELP frame (20 ms),
resulting in a total bitrate of 8 kbps
Parameters Bits per subframe Bits per frame
LPC coefficients – 38
Energy – Rq(0) – 5
Excitation codes (I, H) 7þ7 56
Lag (L) 7 28
GS-P0-P1 code 8 32
unused – 1
Total 29 160
2.4 Multiple-pulse-excitation coding 21
49. The LSP vectors for the other three subframes of each frame can be derived using linear
interpolation between the current frame’s LSP vector, e.g., the {Pn}, and the previous
frame’s LSP vector, {P n–1}, i.e.,
pni ¼
0:75pn1 þ 0:25pn; i ¼ 0;
0:50pn1 þ 0:50pn; i ¼ 1;
0:25pn1 þ 0:75pn; i ¼ 2;
pn; i ¼ 3:
8
:
ð2:9Þ
The speech coder G.723.1 also introduces a more efficient LTP technique to improve the
accuracy of (pitch) redundancy removal based on open and closed loop analyses. This
gives a lower encoding bitrate with better speech synthesis quality. A formant perceptual
weighting filter, Wi(z) (similar to the one used in the CELP analysis by synthesis tech-
nique), where
WiðzÞ
Aðz=r1Þ
Aðz=r2Þ
¼
1
P
10
j¼1
aijzj
ð0:9Þj
1
P
10
j¼1
aijzjð0:5Þj
; 0 i 3; r1 ¼ 0:9; r2 ¼ 0:5 ð2:10Þ
is constructed for every subframe, using the unquantized LPC coefficients {aij} derived
from the interpolated LSPs {Pn} of each subframe, i.e., every subframe of input speech
signal is first filtered to obtain perceptually weighted speech, f (n);
CROLð jÞ ¼
P
119
n¼0
f ðnÞf ðn jÞ
2
P
119
n¼0
f ðn jÞf ðn jÞ
; 18 j 142: ð2:11Þ
The open-loop LTP estimates the pitch period for every two subframes (120 samples) and a
cross-correlation criterion is used on perceptually weighted speech, f(n) (see Eq. 2.11). The
index j which maximizes CROL is selected and named L
_
. The open-loop LTP analysis is
followed by a closed-loop LTP analysis, which estimates the pitch lag around the open-loop
pitch lag L
_
calculated earlier. More specifically, for subframes 0 and 2 the closed-loop pitch
lag is selected in the range 1 of the open-loop pitch lag (coded with seven bits) and, for
subframes 1 and 3, the lag differs from the subframe’s open-loop pitch lag by 1, 0, þ1 or
þ2 (coded with two bits).
Instead of directly determining the pulses from the excitation signal u(n) resulting from
the speech s(n) passing through the STP and LTP operations, G.723.1 tries to determine a
pure multiple-pulse signal v(n), which can be filtered by a 20th-order FIR weighted syn-
thesis filter h(n) to produce v0
(n) so as to approximate u(n), another effective use of the
analysis by synthesis technique:
v0
ðnÞ ¼
X
19
j¼0
hð jÞvðn jÞ; 0 n 59; ð2:12Þ
where v(n) consists only of multiple pulses, i.e., six pulses for subframes 0 and 2, with
magnitudes of either þG or –G, the gain factor analyzed for this frame; and five pulses for
subframes 1 and 3, also with magnitudes of either þG or –G. This results in a 6.3 kbps
multiple pulse coding (MPC) data rate (see Table 2.4), since
22 Digital speech coding
50. 189
bits
frame
· 33
frames
seconds
¼ 6:3 kbps:
To reduce the bitrate further, G.723.1 also offers a 5.3 kbps version by locating at most four
pulses from each subframe; the four pulses have to be limited to one of four predefined
groups, as shown in Table 2.5.
Another multiple-pulse-coding-based speech coder is called the conjugate structure
algebraic code-excited linear prediction (CS-ACELP) G.729 [25] [26] [27] and can achieve
32 kbps G.726 ADPCM toll-phone quality with only 8 kbps. It has been adopted in several
Internet-based VoIP or session initiation protocol (SIP) phones. The G.729 uses 10 ms
frames, with 5 ms (40 sample) subframes for excitation signal representation. Similarly to
G.723.1, this speech codec allows four nonzero pulses (unit magnitude) and each pulse has
to be chosen from a predefined group. This is called interleaved single-pulse permutation
(ISPP), and the groups are as follows:
(1). pulse 1 0, 5, 10, 15, 20, 25, 30, 35 (3-bit encoding)
(2). pulse 2 1, 6, 11, 16, 21, 26, 31, 36 (3-bit encoding)
(3). pulse 3 2, 7, 12, 17, 22, 27, 32, 37 (3-bit encoding)
(4). pulse 4 3, 4, 8, 9, 13, 14, 18, 19, 23, 24, 28, 29, 33, 34, 38, 39 (4-bit encoding)
Table 2.4 The bit allocation for a 30 ms G.723.1 frame, which results in a 6.3 kbps multiple-pulse
coding (MPC) data rate
Parameters Subframe 0 Subframe 1 Subframe 2 Subframe 3 Total
LPC indices 24
Adaptive
codebook lags
7 2 7 2 18
Combined gains 12 12 12 12 48
Pulse positions 20 18 20 18 73
Pulse signs 6 5 6 5 22
Grid index 1 1 1 1 4
Total 189
Table 2.5 The 5.3 kbps G.723.1 version locates
at most four pulses from each subframe, and the
four pulses have to be limited to one of four
predefined groups
Sign Positions
1 0, 8, 16, 24, 32, 40, 48, 56
1 2, 10, 18, 26, 34, 42, 50, 58
1 4, 12, 20, 28, 36, 44, 52
1 6, 14, 22, 30, 38, 46, 54
2.4 Multiple-pulse-excitation coding 23
52. The lapse of time and rivers is the same:
Both speed their journey with a restless stream;
The silent pace with which they steal away,
No wealth can bribe, no prayers persuade to stay:
Alike irrevocable both when past,
And a wide ocean swallows both at last.
Though each resembles each in every part,
A difference strikes, at length, the musing heart:
Streams never flow in vain; where streams abound,
How laughs the land with various plenty crown’d!
But time, that should enrich the nobler mind,
Neglected, leaves a dreary waste behind.
An old playwright makes him a fisher by the stream:
Nay, dally not with time, the wise man’s treasure,
Though fools are lavish on’t—the fatal fisher
Hooks souls, while we waste moments.
Horace has some lines, thus paraphrased by Oldham:
Alas! dear friend, alas! time hastes away,
Nor is it in your power to bribe its stay;
The rolling years with constant motion run,
Lo! while I speak, the present minute’s gone,
And following hours still urge the foregoing on.
’Tis not thy wealth, ’tis not thy power,
’Tis not thy piety can thee secure;
They’re all too feeble to withstand
Gray hairs, approaching age, and thy avoidless end.
When once thy glass is run,
When once thy utmost thread is spun,
‘Twill then be fruitless to expect reprieve;
Could’st thou ten thousand kingdoms give
In purchase for each hour of longer life,
They would not buy one gasp of breath,
Nor move one jot inexorable death.
Perhaps there is no illustration in our language more impressive
than Young’s noble apostrophe, commencing:
53. The bell strikes one. We take no note of time
But from its loss: to give it, then, a tongue
Is wise in man. As if an angel spoke,
I feel the solemn sound. If heard aright,
It is the knell of my departed hours.
Where are they? With the years beyond the flood.
* * * *
O time! than gold more sacred; more a load
Than lead to fools, and fools reputed wise.
What moment granted man without account?
What years are squandered, wisdom’s debt unpaid!
Our wealth in days all due to that discharge.
* * * *
Youth, is not rich in time; it may be poor;
Part with it as with money, sparing; pay
No moment, but in purchase of its worth;
And what’s it worth, ask death-beds; they can tell.
Part with it as with life, reluctant; big
With holy hope of nobler time to come.
* * * *
But why on time so lavish is my song?
On this great theme kind Nature keeps a school
To teach her sons herself. Each night we die—
Each morn are born anew; each day a life;
And shall we kill each day? If trifling kills,
Sure vice must butcher. Oh, what heaps of slain
Cry out for vengeance on us; time destroyed
Is suicide, where more than blood is spilt.
Throw years away!
Throw empires, and be blameless: moments seize;
Heaven’s on their wing: a moment we may wish,
When worlds want wealth to buy. Bid day stand still,
Bid him drive back his car, and re-impart
The period past, regive the given hour.
O for yesterdays to come!
How exquisite is this beguiling of time in Paradise Lost.
With thee conversing I forget all time;
All seasons, and their change, all please alike.
54. How beautifully has Burns alluded to these influences, in his
“Lines to Mary in Heaven:”
Time but the impression deeper makes,
As streams their channels deeper wear.
The Hon. W. R. H. Spencer has something akin to this in his
“Lines to Lady A. Hamilton:”
Too late I stay’d; forgive the crime;
Unheeded flew the hours;
How noiseless falls the foot of Time
That only treads on flow’rs!
Edward Moore, in one of his pleasing Songs, thus points to
these charming influences:
Time still, as he flies, adds increase to her truth,
And gives to her mind what he steals from her youth.
The best lessons of life are to be learnt in his school:
Taught by time, my heart has learn’d to glow
For others’ good, and melt at others’ woe.
How well has Shakspeare expressed this work of the great
reconciler:
Time’s glory is to calm contending kings,
To unmask falsehood, and bring truth to light,
To stamp its seal on aged things,
To wake the morn, and sentinel the night,
To wrong the wronger, till he render right.
Elsewhere Shakspeare paints him as the universal balm:
Cease to lament for that thou can’st not help,
And study help for that which thou lament’st.
Time is the nurse and breeder of all good.
55. It is notorious to philosophers, that joy and grief can hasten and
delay time. Locke is of opinion that a man in great misery may so far
lose his measure, as to think a minute an hour; or in joy make an
hour a minute. Shakspeare’s “divers paces” of Time is too familiar for
quotation here.
Time’s Garland is one of the beauties of Drayton’s “Elysium of
the Muses:”
56. The garland long ago was worn
As Time pleased to bestow it:
The Laurel only to adorn
The conqueror and the poet.
The Palm his due who, uncontroll’d,
On danger looking gravely,
When fate had done the worst it could,
Who bore his fortunes bravely.
Most worthy of the Oaken wreath
The ancients him esteemed,
Who in a battle had from death
Some man of worth redeemed.
About his temples grave they tie,
Himself that so behaved,
In some strong siege by th’ enemy,
A city that hath saved.
A wreath of Vervains heralds wear,
Amongst our garlands named,
Being sent that dreadful news to bear,
Offensive war proclaimed.
The sign of peace who first displays,
The Olive wreath possesses;
The lover with the Myrtle sprays
Adorns his crisped tresses.
In love the sad forsaken wight
The Willow garland weareth;
The funeral man, befitting night,
The baleful Cypress beareth.
To Pan we dedicate the Pine,
Whose slips the shepherd graceth;
Again the Ivy and the Vine
On his front Bacchus placeth.
They who so stanchly oppose innovations, should remember
Bacon’s words: “Every medicine is an innovation, and he that will not
apply new remedies must expect new evils; for time is the greatest
57. innovator; and if time of course alter things to the worse, and
wisdom and counsel shall not alter them to the better, what shall be
the end?”
How much time has to do with our successes is thus solemnly
told by the Preacher: “The race is not to the swift, nor the battle to
the strong, neither yet bread to the wise, nor yet riches to men of
understanding, nor yet favour to men of skill; but time and chance
happeneth to them all.”—Ecclesiastes ix. 11.
How truthfully has Dr. Johnson said: “So little do we accustom
ourselves to consider the effects of time, that things necessary and
certain often surprise us like unexpected contingencies. We leave the
beauty in her bloom, and, after an absence of twenty years, wonder,
at our return, to find her faded. We meet those whom we left
children, and can scarcely persuade ourselves to treat them as men.
The traveller visits in age those countries through which he rambled
in his youth, and hopes for merriment in the old place. The man of
business, wearied with unsatisfactory prosperity, retires to the town
of his nativity, and expects to play away the last years with the
companions of his childhood, and recover youth in the fields where
he once was young.”
Dr. Armstrong, the friend of Thomson, has left this solemn
apostrophe on the Wrecks and Mutations of Time:
58. What does not fade? the tower that long had stood
The crush of thunder and the warring winds,
Shook by the slow but sure destroyer Time,
Now hangs in doubtful ruins o’er its base,
And flinty pyramids and walls of brass
Descend. The Babylonian spires are sunk;
Achaia, Rome, and Egypt moulder down.
Time shakes the stable tyranny of thrones,
And tottering empires rush by their own weight.
This huge rotundity we tread grows old,
And all these worlds that roll around the sun;
The sun himself shall die, and ancient night
Again involve the desolate abyss,
Till the Great Father, through the lifeless gloom,
Extend his arm to light another world,
And bid new planets roll by other laws.
We remember a piece of stage sentiment, beginning
“Time! Time! Time! why ponder o’er thy glass,
And count the dull sands as they pass?” c.
It was touchingly sung, but had too much of gloom and
despondency for the theatre: possibly it may have reminded some of
its hearers of their own delinquency.
With what solemnity has our great Dramatic Bard foreshadowed
Time’s waning:
To-morrow, and to-morrow, and to-morrow,
Creeps in this petty pace from day to day,
To the last syllable of recorded time;
And all our yesterdays have lighted fools
The way to dusty death.
His departure is again sketched in Troilus and Cressida:
Time is like a fashionable host,
That slightly shakes his parting guest by th’ hand,
But with his arms outstretch’d, as he would fly,
Grasps the incomer.
59. Sir Walter Scott thus paints Time’s evanescence:
Time rolls his ceaseless course.—The race of yore,
Who danced our infancy upon their knee,
And told our marvelling boyhood legends store
Of their strange ’ventures happ’d by land or sea,
How are they blotted from the things that be!
Cowley has this significant couplet:
To things immortal Time can do no wrong,
And that which never is to die for ever must be young.
Yet, what a treasure is this:
My inheritance! how wide and fair!
Time is my estate; to Time I’m heir.
Wilhelm Meister: Carlyle.
“Time is almost a human word, and change entirely a human
idea: in the system of nature we should rather say progress than
change. The sun appears to sink in the ocean in darkness, but rises
in another hemisphere; the ruins of a city fall, but they are often
used to form more magnificent structures, as at Rome; but even
when they are destroyed, so as to produce only dust, nature asserts
her empire over them, and the vegetable world rises in constant
youth, and in a period of annual successions, by the labours of man,
providing food, vitality, and beauty upon the wreck of monuments
which were once raised for purposes of glory, but which are now
applied to objects of utility.”
As this beautiful passage was written by Sir Humphry Davy
nearly three-and-thirty years since, the above use of the word
progress had nothing to do with the semi-political sense in which it
is now commonly employed. Nevertheless, there occur in the
writings of our great chemical philosopher occasional views of the
advancement of the world in knowledge, and its real authors, with
which the progressists of the present day fraternise.
60. At the above distance, Davy wrote in the following vein: “In the
common history of the world, as compiled by authors in general,
almost all the great changes of nations are confounded with changes
in their dynasties; and events are usually referred either to
sovereigns, chiefs, heroes, or their armies, which do, in fact,
originate entirely from different causes, either of an intellectual or
moral nature. Governments depend far more than is generally
supposed upon the opinion of the people and the spirit of the age
and nation. It sometimes happens that a gigantic mind possesses
supreme power, and rises superior to the age in which he is born:
such was Alfred in England, and Peter in Russia. Such instances are,
however, very rare; and in general it is neither amongst sovereigns
nor the higher classes of society that the great improvers and
benefactors of mankind are to be found.”—Consolations in Travel,
pp. 34, 35.
Brilliant as was Davy’s own career, it had its life-struggles: his
last days were embittered with sufferings, mental as well as
physical; and in these moments he may have written these
somewhat querulous remarks.
61. TIME: PAST, PRESENT, AND FUTURE.
Harris, in his Hermes, in his disquisition on Time, gives the
distinction between the grammatical or conventional phrase,
“Present Time,” and the more philosophical and abstract “Now,” or
“Instant.” Quoting Nicephorus Blemmides, Harris would define the
former as follows: “Present Time is that which adjoins to the Real
Now, or Instant, on either side being a limited time made up of Past
and Future; and from its vicinity to that Real Now, said to be Now
also itself.” Whilst upon the latter term he remarks: “As every Now or
Instant always exists in Time, and without being Time is Time’s
bound; the Bound of Completion to the Past, and the Bound of
Commencement to the Future; and from hence we may conceive its
nature or end, which is to be the medium of continuity between the
Past and the Future, so as to render Time, through all its parts, one
Intire and Perfect Whole.”
Thus, logically, “Time Present” must be regarded as a
mathematical point, having no parts or magnitude, being simply the
end of the Past, and the beginning of the Future. Thus, perishing in
action and eluding the grasp of thought, it is a nonentity, of which,
at best, an intangible and shadowy existence can be predicated:
Dum loquimur fugerit invida
Ætas. Hor.
And we may ask of it, with its carpe diem, its manifold attributes,
and imputed influences, as the poet Young does of the King of
Terrors:
Why start at Death? Where is he? Death arrived
Is past; not come, or gone, he’s never here.
Night Thoughts, iv.
62. It is, however, in the more conventional sense that the phrase
“Present Time” is generally made use of in writing and conversation.
So Johnson, in his well-known passage: “Whatever withdraws us
from the power of our senses, whatever makes the past, the distant,
or the future, predominate over the present, advances us in the
dignity of thinking beings,” c. Here we have “the Present” invested
with the dignity of individual existence, and compared with the Past
and the Future, as having duration or extension with these; as if we
should speak of a series of numbers, ascending on each side of
nothing to infinity, as being divisible into negative, zero, and positive.
Among coincident forms of expression, on the part of writers
who have spoken of the “Present Time” in its more precise and
philosophical sense, is the following by Cowley, in a note to one of
his “Pindarique Odes:” “There are two sorts of Eternity; from the
Present backwards to Eternity, and from the present forwards, called
by the Schoolmen Æternitas à parte ante, and Æternitas à parte
post. These two make up the whole circle of Eternity, which Present
Time cuts like a Diameter.”
Carlyle, in his Essays (“Signs of the Times”), has this
knowledgeful passage: “We admit that the present is an important
time; as all present time necessarily is. The poorest day that passes
over us is the conflux of two Eternities, and is made up of currents
that issue from the remotest Past, and flow onwards into the
remotest Future. We were wise, indeed, could we discover truly the
signs of our own times; and, by knowledge of its wants and
advantages, wisely adjust our own position in it. Let us, then,
instead of gazing idly into the obscure distance, look calmly around
us for a little on the perplexed scene where we stand. Perhaps, on a
more serious inspection, something of its perplexity may disappear,
some of its distinctive characters and deeper tendencies more clearly
reveal themselves; whereby our own relations to it, our own true
aims and endeavours in it, may also become clearer.”[1]
Lord Strangford has left these pathetic stanzas:
63. Time was—when all was fresh, and fair, and bright,
My heart was bounding with delight,
It knew no pain, it felt no aching:
But o’er it all its airy woes
As lightly passed, or briefly staid,
Like the fleet summer-cloud which throws
On sunny lands a moment’s shade,
A momentary darkness making.
Time is—when all is drear, and dim, and wild,
And that gay sunny scene which smiled
With darkest clouds is gloomed and saddened;
When tempest-toss’d on passion’s tide
Reason’s frail bark is madly driven,
Nor gleams one ray its course to guide
From yon o’ercast and frowning heaven,
Till peace is wreck’d and reason maddened.
Time come—but will it e’er restore
The peace my bosom felt before,
And soothe again my aching, tortured breast?
It will, for there is One above
Who bends on all a Father’s eye;
Who hears with all a Father’s love
The broken heart’s repentant sigh,
Calms the vexed heart, and bids the spirit rest.
1. Abridged from an excellent Communication, by William Bates, to Notes and
Queries, 2d series, vol. x. p. 245.
64. MEASUREMENT OF TIME.
Sir Thomas Browne, treating of Errors regarding Numbers,
observes: “True it is that God made all things in number, weight, and
measure; yet nothing by them, or through the efficacy of either.
Indeed, our days, actions, and motions being measured by time
(which is but motion measured), whatever is observable in any, falls
under the account of some number; which, notwithstanding, cannot
be denominated the cause of these events. So do we unjustly assign
the power of action even unto time itself; nor do they speak properly
who say that time consumeth all things; for time is not effective, nor
are bodies destroyed by it, but from the action and passion of their
elements in it; whose account it only affordeth, and, measuring out
their motion, informs us in the periods and terms of their duration,
rather than effecteth or physically produceth the same.”[2]
Time can only be measured by motion: were all things
inanimate or fixed, time could not be measured. A body cannot be in
two places at the same instant; and if the motion of any body from
one point to another were regular and equal, the divisions and
subdivisions of the space thus marked over would mark portions of
time.
The sun and the moon have served to divide portions of time in
all ages. The rising and setting of the sun, the shortening and
lengthening of the shadows of trees, and even the shadow of man
himself, have marked the flight of time. The phases of the moon
were used to indicate greater portions; and a certain number of full
moons supplied us with the means of giving historical dates.
Fifteen geographical miles, east or west, make one minute of
time. The earth turning on its axis produces the alternate succession
of day and night, and in this revolution marks the smallest division of
time by distances on its surface.
65. If each of the 360 degrees into which the circumference of the
earth is divided, be subdivided into twenty-four hours, it will be
found that 15 degrees pass under the sun during each hour, which
proves that 15 degrees of longitude mark one hour of time: thus, as
Berlin is nearly 15 degrees east of London, it is almost one o’clock
when it is twelve at London.
Time, like bodies, is divisible nearly ad infinitum. A second (a
mere pulsation) is divided into four or five parts, marked by the
vibrations of a watch-balance; and each of these divisions is
frequently required to be lessened an exact 2880th part of its
momentary duration. It is, however, impossible to see this; for Mr.
Babbage, speaking of a piece of mechanism which indicated the
300th part of a second, tells us that both himself and friend
endeavoured to stop it twenty times successively at the same point,
but could not be confident of even the 20th part of a second.
It has been said that many simple operations would astonish us,
did we but know enough to be so; and this remark may not be
inapplicable to those who, having a watch losing half a minute per
day, wish it corrected, though they may not reflect that as half a
minute is the 2880th part of 24 hours, each vibration of the balance,
which is only the fifth part of a second, must be accelerated the
2880th part of its instantaneous duration; while to make a watch,
losing one minute per week, go correctly, each vibration must be
accelerated the 1008th part of its duration, or the 50,400th part of a
second.[3]
Among the early methods of measuring Time, we must not omit
to notice Alfred’s “Time-Candles,” as they have been called. His
reputed biographer, Asser, tells us that Alfred caused six tapers to be
made for his daily use: each taper, containing twelve pennyweights
of wax, was twelve inches long, and of proportionate breadth. The
whole length was divided into twelve parts, or inches, of which three
would burn for one hour, so that each taper would be consumed in
four hours; and the six tapers, being lighted one after the other,
lasted twenty-four hours. But the wind blowing through the windows
and doors and chinks of the walls of the chapel, or through the cloth
66. of his tent, in which they were burning, wasted these tapers, and
consequently they burnt with no regularity; he therefore designed a
lantern made of ox or cow horn, cut into thin plates, in which he
enclosed the tapers; and thus protecting them from the wind, the
period of their burning became a matter of certainty. But the
genuineness of Asser’s work is doubted,—so the story is discredited.
Nevertheless, there is nothing very questionable in Alfred’s reputed
method; and it is curious to see that an “improvement” was
patented so recently as 1859, which consists in graduating the
exterior of candles, either by indentation or colouring at intervals,
and equal distances apart, according to the size of the candles. The
marks are to consist of hours, half-hours, and, if necessary, quarter-
hours; the distance to be determined by the kind of candle used.
Bishop Wilkins, in his Mathematical Magic, in the chapter
relating to “such engines as did receive a regular and lasting motion
from something belonging to their own frame, whether weights or
springs, c.,” quotes Pancirollus, “taken from that experiment in the
multiplication of wheels mentioned in Vitruvius, where he speaks of
an instrument whereby a man may know how many miles or paces
he doth go in any space of time, whether or no he pass by water in
a boat or ship, or by land in a chariot or coach. They have been
contrived also into little pocket instruments, by which, after a man
hath walked a whole day together, he may easily know how many
steps he hath taken.” More curious is “the alarum, mentioned by
Walchius, which, though it were but two or three inches big, yet
would both wake a man and of itself light a candle for him at any set
hour of the night. And those great springs, which are of so great
force as to turn a mill (as some have contrived), may be easily
applied to more various and difficult labours.”
Occasionally, in these old curiosities, we trace anticipations of
some of the scientific marvels of the present day. Thus, when the
Grand Duke of Tuscany, in 1669, visited the Royal Society at Arundel
House, he was shown “a clock, whose movements are derived from
the vicinity of a loadstone; and it is so adjusted as to discover the
distance of countries, at sea, by the longitude.” The analogy
67. between this clock and the electrical clock of the present day is not a
little remarkable. The Journal-book of the Society for 1669 contains
many allusions to “Hook’s magnetic watch going slower or faster
according to the greater or less distance of the loadstone, and so
moving regularly in every posture.” On the occasion of the visit of
illustrious strangers, this clock and Hook’s magnetic watches were
always exhibited as great curiosities.[4]
2. Vulgar and Common Errors, book iv. chap. xii.
3. Time and Timekeepers. By Adam Thomson, 1842.
4. See Weld’s History of the Royal Society, vol. i. pp. 220, 221.
68. PERIODS OF REST.
The terrestrial day, and consequently the length of the cycle of
light and darkness, being what it is, we find various parts of the
constitution both of animals and vegetables which have a periodical
character in their functions, corresponding to the diurnal succession
of external conditions; and we find that the length of the period, as
it exists in their constitution, coincides with the length of the natural
day.
Man, in all nations and ages, takes his principal rest once in
twenty-four hours; and the regularity of this practice seems most
suitable to his health, though the duration of the time allotted to
repose is extremely different in different cases. So far as we can
judge, this period is of a length beneficial to the human frame,
independently of the effect of external agents. In the voyages made
into high northern latitudes, where the sun did not rise for three
months, the crews of the ships were made to adhere, with the
utmost punctuality, to the habit of retiring to rest at nine, and rising
a quarter before six; and they enjoyed, under circumstances
apparently the most trying, a state of salubrity quite remarkable.
This shows that, according to the common constitution of such men,
the cycle of twenty-fours is very commodious, though not imposed
on them by external circumstances.
The succession of exertion and repose in the muscular system,
of excited and dormant sensibility in the nervous, appears to be
fundamentally connected with the muscular and nervous powers,
whatever the nature of these may be. The necessity of these
alternations is one of the measures of the intensity of these vital
energies; and it would seem that we cannot, without assuming the
human powers to be altered, suppose the intervals of tranquillity
which they require to be much changed. This view agrees with the
opinion of the most eminent physiologists. Thus, Cabanis notices the
periodical and isochronous character of the desire of sleep, as well
69. as of other appetites. He states that sleep is more easy and more
salutary, in proportion as we go to rest and rise every day at the
same hours; and observes that this periodicity seems to have a
reference to the motions of the solar system.
Now, how should such a reference be at first established in the
constitution of man, animals, and plants, and transmitted from one
generation of them to another? If we suppose a wise and
benevolent Creator, by whom all the parts of nature were fitted to
their uses and to each other, this is what we might expect and
understand. On any other supposition, such a fact appears
altogether incredible and inconceivable.[5]
5. Abridged from Whewell’s Bridgwater Treatise.
70. RECKONING DISTANCE BY TIME.
In Oriental countries, it has been the custom from the earliest
ages to reckon distances by time, rather than by any direct reference
to a standard of measure, as is commonly reckoned in the present
day. In the Scriptures we find distances described by “a day’s
journey,” “three days’ journey,” and other similar expressions. A day’s
journey is supposed to have been equal to about thirty-three British
statute miles, and denoted the distance that could be performed
without any extraordinary fatigue by a foot-passenger; “a Sabbath
day’s journey” was peculiar to the Jews, being equal to rather less
than one statute mile. It may not be in exact accordance with our
habits of thought, and usual forms of expression, thus to describe
distances by time; yet it seems to possess some advantages. A man
knowing nothing of the linear standards of measure employed in
foreign countries, would receive no satisfactory information on being
told that a particular city, or town, was distant from another a
certain number of miles[6]
or leagues,[7]
as the case might happen to
be. But if he were told that such city or town was distant from
another a certain number of hours or days, there would be
something in the account that would commend itself to his
understanding. A sea-voyage is oftener described by reference to
time than to distance. We frequently hear persons inquire how many
weeks or months it will occupy to proceed to distant parts of the
world, but they rarely manifest any great anxiety about the number
of miles. This mode of computation seems especially applicable to
steam navigation: a voyage by a steam-packet, under ordinary
circumstances, being performed with such surprising regularity, that
it might, with greater propriety, be described by minutes, or hours,
or days, than by miles.
6. In Holland a mile is nearly equal to three and three-quarters; in Germany it is
rather more than four and a half; and in Switzerland it is about equal to five and
71. three-quarters British miles.
7. A league in France is equal to two and three-quarters; in Spain to four; in
Denmark to four and three-quarters; in Switzerland to five and a half; and in
Sweden to six and three-quarters British miles.
72. SUN-DIALS.
Sun-dials are little regarded but as curiosities in these days;
although the science of constructing Sun-dials, under the name of
Gnomonics, was, up to a comparatively recent period, part of a
mathematical course. As long as watches were scarce, and clocks
not very common, the dial was an actual time-keeper. Of the
mathematical works of the seventeenth century which are found on
book-stalls, none are so common as those on Dialling.
Each of the old dials usually had its monitory inscription; and
although the former have mostly disappeared, the mottoes have
been preserved, so that all their good is not lost.
The stately city of Oxford, which Waagen declared it was worth
a special journey from Germany to see, has, upon its churches and
colleges, and in their lovely gardens, several dials. Christopher Wren,
when a boy of fifteen at Wadham College, designed on the ceiling of
a room a reflecting dial, embellished with various devices and two
figures, Astronomy and Geometry, with accessories, tastefully drawn
with a pen, and bearing a Latin inscription; but his more elaborate
work is the large and costly dial which he erected at All Souls’
College, of which he was a Fellow.
The Rev. W. Lisle Bowles was a sincere respecter of dials. In the
garden of his parsonage at Bremhill he placed a Sun-dial—a small
antique twisted column, gray with age, and believed to have been
the dial of the abbot of Malmesbury, and counted his hours at the
adjoining lodge; for it was taken from the garden of the farmhouse,
which had originally been the summer retirement of this mitred lord:
it is of monastic character, but a more ornate capital has been
added, which bears the date of 1688; it has the following inscription
by the venerable Canon:
73. To count the brief and unreturning hours,
This Sun-dial was placed among the flowers,
Which came forth in their beauty—smiled and died,
Blooming and withering round its ancient side.
Mortal, thy day is passing—see that Flower,
And think upon the Shadow and the Hour.
From beneath a venerable yew, which has seen the persecution
of the loyal English clergy, you look into the adjoining churchyard of
Bremhill, on an old Sun-dial, once a cross. Bowles tells us: “The
cross was found broken at its foot, probably by the country
iconoclasts of the day. I have brought the interesting fragment again
into light, and placed it conspicuously opposite to an old Scotch fir in
the churchyard, which I think it not unlikely was planted by Townson
on his restoration. The accumulation of the soil of centuries had
covered an ascent of four steps at the bottom of this record of silent
hours. These steps have been worn in places, from the act of
frequent prostration or kneeling by the forefathers of the hamlet,
perhaps before the church existed.” Upon this old dial Bowles wrote
one of his most touching poems, of which these are the opening
verses:
So passes silent o’er the dead thy shade,
Brief Time! and hour by hour, and day by day,
The pleasing pictures of the present fade,
And like a summer-vapour steal away.
And have not they, who here forgotten lie
(Say, hoary chronicler of ages past),
Once more the shadow with delighted eye,
Nor thought it fled,—how certain and how fast?
Since thou hast stood, and thus thy vigil kept,
Noting each hour, o’er mould’ring stones beneath,
The Pastor and his flock alike have slept,
And “dust to dust” proclaim’d the stride of death.
Any thing that reminds us of the lapse of time should remind us
also of the right employment of time in doing whatever business is
required to be done.
74. A similar lesson is solemnly conveyed in the Scripture motto to a
Sun-dial: “The night cometh, when no man can work.” Another
solemn injunction is conveyed in the motto to a Sun-dial erected by
Bishop Copleston in a village near which he resided: “Let not the sun
go down upon your wrath” (Ephesians iv. 26).
A more subtle motto is, “Septem sine horis;” signifying that
there are in the longest day seven hours (and a trifle over) during
which the Sun-dial is useless.
Upon the public buildings and in the pleasure-grounds of Old
London the Sun-dial was placed as a silent monitor to those who
were sailing on the busy stream of time through its crowded haunts
and thoroughfares, or seeking meditation in quiet nooks and
plaisances of its river mansions and garden-houses. Upon churches
the dial commonly preceded the clock: Wren especially introduced
the dial in his churches.
Sovereigns and statesmen may have reflected beside the
palace-dials upon the fleetingness of life, and thus have learned to
take better note of time. Whitehall was famous for its Sun-dials. In
Privy Garden was a dial set up by Edward Gunter, professor of
astronomy at Gresham College (and of which he published a
description), by command of James I., in 1624. A large stone
pedestal bore four dials at the four corners, and “the great horizontal
concave” in the centre; besides east, west, north, and south dials at
the sides. In the reign of Charles II. this dial was defaced by an
intoxicated nobleman of the Court; upon which Marvell wrote:
This place for a dial was too unsecure,
Since a guard and a garden could not defend;
For so near to the Court they will never endure
Any witness to show how their time they misspend.
In the court-yard facing the Banqueting-house was another
curious dial, set up in 1669 by order of Charles II. It was invented by
one Francis Hall, alias Lyne, a Jesuit, and professor of mathematics
at Liège. This dial consisted of five stages rising in a pyramidal form,
and bearing several vertical and reclining dials, globes cut into
75. planes, and glass bowls; showing, “besides the houres of all kinds,”
“many things also belonging to geography, astrology, and astronomy,
by the sun’s shadow made visible to the eye.” Among the pictures
were portraits of the king, the two queens, the Duke of York, and
Prince Rupert. Father Lyne published a description of this dial, which
consists of seventy-three parts: it is illustrated with seventeen
plates: the details are condensed in No. 400 of the Mirror. About
1710, William Allingham, a mathematician in Canon-row, asked 500l.
to repair this dial: it was last seen by Vertue, the artist and
antiquary, at Buckingham House.
The bricky towers of St. James’s palace had their Sun-dials; and
in the gardens of Kensington palace and Hampton Court palace are
to this day superb dials.
Upon a house-front in the Terrace, New Palace Yard,
Westminster, is a Sun-dial, having the motto from Virgil, “Discite
justitiam, moniti,” which had probably been inscribed upon the old
clock-tower of the palace, in reference to its having been built with a
fine that had been levied on the Chief Justice of the King’s Bench for
altering a record.
The Inns of Court, where time runs its golden sand, have
retained a few of their Sun-dials. In Lincoln’s Inn, on two of the old
gables, are: 1. A southern dial, restored in 1840, which shows the
hours by its gnomon, from 6 A.M. to 4 P.M., and is inscribed, “Ex hoc
monumento pendet æternitas.” 2. A western dial, restored in 1794
and 1848, from the different situation of its plane, only shows the
hours from noon till night: inscription, “Quam redit nescitis horam.”
And in Serle’s-court (now New-square), on the west side, was a dial
inscribed, “Publica privatis secernite, sacra prophanis.”
Gray’s Inn has lost its Sun-dials: but in the gardens was a dial,
opposite Verulam Buildings, not far from Bacon’s summer-house;
and the turret of the great Hall had formerly a southern declining
dial, with this motto, “Lux diei, lex Dei.”
Furnival’s Inn had its garden and dial, which disappeared when
the old Inn buildings were taken down in 1818, and the Inn rebuilt.
76. Staple Inn had upon its Hall a well-kept dial, above a luxuriant
fig-tree.
Clement’s Inn had, in its small garden, a kneeling figure
supporting a dial,—one of the leaden garden embellishments
common in the last century. In New Inn, adjoining, the Hall has a
large vertical Sun-dial, motto: “Time and Tide tarry for no man.”
Lyon’s Inn, which had been an Inn “since 1420, or sooner,” had,
in 1828, an old Sun-dial, which had lost its gnomon and most of its
figures.
The Temple garden, Inner and Middle, has each a large pillar
Sun-dial; the latter very handsome. There are vertical dials in various
courts; but the old dial of Inner Temple terrace, with its “Begone
about your business,”—in reality the reply of a testy bencher to the
painter who teased him for an inscription,—disappeared in the year
1828. There remain three dials with mottoes: Temple-lane, “Pereunt
et imputantur;” Essex-court, “Vestigia nulla retrorsum;” Brick-court,
“Time and tide tarry for no man;” and in Pump-court and Garden-
court are two dials without mottoes. Charles Lamb has this
charmingly reflective passage, suggested by the Temple dials:
What an antique air had the now almost effaced sun-dials, with their
moral inscriptions, seeming coevals with that Time which they measured, and
to take their revelations of its flight immediately from heaven, holding
correspondence with the fountain of light! How could the dark line steal
imperceptibly on, watched by the eye of childhood, eager to detect its
movement, never catched, nice as an evanescent cloud, or the first arrests of
sleep!
And yet doth beauty like a dial-hand
Steal from his figure, and no pace perceived!
What a dead thing is a clock, with its ponderous
embowelments of lead and brass, its pert or solemn dulness of
communication, compared with the simple altar-like structure
and silent heart-language of the old dial! It stood as the garden
god of Christian gardens. Why is it almost every where
vanished? If its business be superseded by more elaborate
77. inventions, its moral uses, its beauty, might have pleaded for its
continuance. It spoke of moderate labours, of pleasures not
protracted after sunset, of temperance and good hours. It was
the primitive clock, the horologe of the first world. Adam could
scarce have missed it in Paradise. It was the measure
appropriate for sweet plants and flowers to spring by, for the
birds to apportion their silver warblings by, for flocks to pasture
and be led to fold by. The shepherd ‘carved it out quaintly in the
sun,’ and, turning philosopher by the very occupation, provided it
with mottoes more touching than tombstones. It was a pretty
device of the gardener, recorded by Marvell, who, in the days of
artificial gardening, made a dial out of herbs and flowers:
How well the skilful gardener drew,
Of herbs and flowers, this dial new!
Where from above, the milder sun
Does through a fragrant zodiac run:
And, as it works, the industrious bee
Computes its time as well as we.
How could such sweet and wholesome hours
Be reckon’d, but with herbs and flowers?
From “The Garden.”
Another noted dial gave name to a locality of the metropolis,
which has known many mutations, viz. Seven Dials, built in the time
of Charles II. for wealthy tenants. Evelyn notes, 1694: “I went to see
the building near St. Giles’s, where Seven Dials make a star from a
Doric pillar placed in the middle of a circular area, said to be by Mr.
Neale (the introducer of the late lotteries), in imitation of Venice,
now set up here for himself twice, and once for the state.”
78. Where famed St. Giles’s ancient limits spread,
An in-rail’d column rears its lofty head:
Here to seven streets seven dials count their day,
And from each other catch the circling ray:
Here oft the peasant, with inquiring face,
Bewilder’d trudges on from place to place;
He dwells on every sign with stupid gaze,
Enters the narrow alleys’ doubtful maze,
Tries every winding court and street in vain,
And doubles o’er his weary steps again.
Gay’s Trivia, book ii.
The seven streets were Great and Little Earl, Great and Little
White Lion, Great and Little St. Andrew’s, and Queen; though the
dial-stone had but six faces, two of the streets opening into one
angle. The column and dials were removed in June 1773, to search
for a treasure said to be concealed beneath the base. They were
never replaced; but in 1822 were purchased of a stone-mason, and
the column was surmounted with a ducal coronet, and set up on
Weybridge Green as a memorial to the late Duchess of York, who
died at Oatlands in 1820. The dial-stone is now a stepping-stone at
the adjoining Ship inn.[8]
The Sun-dial was also formerly used with a compass. The Hon.
Robert Boyle relates, “that a Boatman one day took out of his pocket
a little Sun-dial, furnished with an excited needle to direct how to set
it, such dials being used among mariners, not only to show them the
hour of the day, but to inform them from what quarter the wind
blows.”
A Cape Town Correspondent of Notes and Queries describes a
Sun-dial and compass in his possession, made by “Johann
Willebrand, in Augsburg, 1848:” it has a curious perpetual calendar
attached, and is of highly finished work in silver, parcel-gilt. Another
Sun-dial and compass is mentioned as made by Butterfield, at Paris:
it is small, of silver, and horizontal; upon its face are engraved dials
for several latitudes, and at the back a table of principal cities; it is
set by a compass, and the gnomon adjusted by a divided arc. The N.
point of the compass-box is fixed in a position to allow for variation,
79. probably at Paris; and, judging from this, it would appear to have
been made about 1716.[9]
We should also notice the pocket ring-dial, such as that which
gave occasion to the Fool in the Forest of Arden to “moral on the
time:”
And then he drew a dial from his poke,
And, looking on it with lack-lustre eye,
Says, very wisely, “It is ten o’clock.”
This is a ring of brass, much like a miniature dog-collar, and has,
moving in a groove in its circumference, a narrower ring with a boss,
pierced by a small hole to admit a ray of light. The latter ring is
made movable, to allow for the varying declination of the sun in the
several months of the year, and the initials of these are marked in
the ascending and descending scale on the larger ring, which bears
also the motto:
Set me right, and use me well,
And I ye time to you will tell.
The hours are lined and numbered on the opposite concavity. When
the boss of the sliding ring is set, and the ring is suspended by the
ring directly towards the sun, a ray of light passing through the hole
in the boss impinges on the concave surface, and the hour is told
with fair accuracy. Mr. Thomas Q. Couch, of Bodmin, thus describes
this Dial in Notes and Queries, 3d series, No. 36. Mr. Charles Knight,
in his Pictorial Shakspeare, has engraved a dial of this kind, as an
illustration of As you like it.
Mr. Redmond, of Liverpool, describes the old pocket ring-dial as
common in the county of Wexford some twenty-five years ago: there
was hardly a farm-house where one could not be had. The same
Correspondent of Notes and Queries, 3d series, No. 39, describes a
door-sill marked with the hour for every day in the year: the sill had
a full southern aspect, so that when the sun shone, the time could
be read as correctly as by any watch.
80. Another Correspondent of Notes and Queries, 2d series, No. 38,
has an ingenious pocket-dial, sold by one T. Clarke: it is merely a
card, with a small plummet hanging by a thread, and a gnomon,
which lies flat on the card, but, when lifted up, casts the shadow to
indicate the hour of the day, and also the hours of sunrise and
sunset.
In the United Service Museum, Whitehall, is a Sun-dial, with a
burning-glass arranged to fire a small gun at noon; also a large
Universal Dial, with a circle showing minutes; and another large
Universal Dial, with horizontal plate and spirit-level.
Suppose we collect a few of the monitory inscriptions on dials in
various places. Hazlitt, in a graceful paper “On a Sun-dial,” tells us
that
Horas non numero nisi serenas
is the motto of a Sun-dial near Venice; and the same line is painted
in huge letters over the Sun-dial in front of an old farmhouse near
Farnworth, in Lancashire.
At Hebden Bridge, in Yorkshire, is this quaint motto:
Quod petis, umbra est.
Canon Bowles, in his love of the solemn subject, prescribed the
following, with paraphrastic translations:
Morning Sun.—Tempus volat.
Oh! early passenger, look up—be wise,
And think how, night and day, time onward flies.
Noon.—Dum tempus habemus, operemur bonum.
Life steals away—this hour, oh! man, is lent thee.
Patient to work the work of Him who sent thee.
Setting Sun.—Redibo, tu nunquam.
Haste, traveller, the sun is sinking now:
He shall return again, but never thou.
Over the Sun-dial on an old house in Rye:
81. Tempus edax rerum.[10]
Underneath it:
That solar shadow,
As it measures life, it life resembles too.
In Brading churchyard, Isle of Wight, on a Sun-dial fixed to what
appears originally to have been part of a churchyard cross, is the
motto:
Hora pars vitæ.
Near the porch of Milton church, Berks, is:
Our Life’s a flying Shadow; God’s the Pole,
Death, the Horizon, where our sun is set;
The Index, pointing at him, is our Soul,
Which will, through Christ, a Resurrection get.
Butler has this couplet:
True as the dial to the sun,
Although it be not shin’d upon.
Hudibras, part iii. canto 2.
Upon this Dr. Nash notes: “As the dial is invariable, and always open
to the sun whenever its rays can show the time of day, though the
weather is often cloudy, and obscures its lustre: so true loyalty is
always ready to serve its king and country, though it often suffers
great afflictions and distresses.”
There cannot be a more faithful indicator, according to Barton
Booth’s song:
True as the needle to the pole,
Or as the dial to the sun.
After all, the sun-dial is but an occasional timekeeper; a defect
which the pious Bishop Hall ingeniously illustrates in the following
beautiful Meditation “On the Sight of a Dial:” “If the sun did not
82. shine upon this dial, nobody would look at it: in a cloudy day it
stands like an useless post, unheeded, unregarded; but, when once
those beams break forth, every passenger runs to it, and gazes on
it.
“O God, while thou hidest thy countenance from me, methinks
all thy creatures pass by me with a willing neglect. Indeed, what am
I without thee? And if thou have drawn in me some lines and notes
of able endowments; yet, if I be not actuated by thy grace, all is, in
respect of use, no better than nothing; but when thou renewest the
light of thy loving countenance upon me, I find a sensible and happy
change of condition: methinks all things look upon me with such
cheer and observance, as if they meant to make good that word of
thine, Those that honour me, I will honour: now, every line and
figure, which it hath pleased thee to work in me, serve for useful
and profitable direction. O Lord, all the glory is thine. Give thou me
light: I will give others information: both of us shall give thee
praise.”
The Pyramids of Egypt, the most ancient and the most colossal
structures on the earth,—the purpose and appropriation of which
has been much controverted by antiquaries and men of science,—
have been considered by some to have served as Sun-dials. Sir
Gardner Wilkinson does not pretend to explain the real object for
which these stupendous monuments were constructed, but feels
persuaded that they have served for tombs, and have also been
intended for astronomical purposes. “The form of the exterior might
lead to many useful calculations. They stand exactly due north and
south; and while the direction of the faces to the east and west
might serve to fix the return of a certain period of the year, the
shadow cast by the sun, or the time of its coinciding with their slope,
might be observed for a similar purpose.”
There is an interesting association of the Great Pyramid with the
ambitious dream of one of the world’s celebrities, which may be
noticed here. When Napoleon I. was in Egypt, in 1799, he rode on a
camel to the Great Pyramid and the Sphinx, that relic of mystic
grandeur. Karl Girardet has painted this impressive visit; and the
83. picture has been engraved by Gautier, and inscribed, “Forty
Centuries look down upon him.”
Charles Mackay has written a graceful poem as a pendent to
this print; in which the poet makes the young Napoleon thus invoke
the colossal monuments:
Ye haughty Pyramids!
Thou Sphinx, whose eyeless lids
On my presumptuous youth seem bent in scorn!
What though thou’st stood
Coeval with the flood,
Of all earth’s monuments the earliest born,
And I so mean and small,
With armies at my call,
Am recent in thy sight as grass of yestermorn!
Yet in this soul of mine
Is strength as great as thine,
O dull-eyed Sphinx that wouldst despise me now;
Is grandeur like thine own,
O melancholy stone,
With forty centuries furrow’d on thy brow;
Deep in my heart I feel
What time shall yet reveal,
That I shall tower o’er men, as o’er these deserts thou.
The dreamer of empire proceeds, bespeaking:
Nations yet to be,
Surging from Time’s deep sea,
Shall teach their babes the name of great Napoleon.
But hear the reply of the decaying oracle:
84. Over the mighty chief
There came a shadow of grief.
The lips gigantic seemed to move and say,
“Know’st thou his name that bid
Arise yon Pyramid?
Know’st thou who placed me where I stand to-day?
Thy deeds are but as sand
Strewn on the heedless land:
Think, little mortal, think, and pass upon thy way!
Pass, little mortal, pass!
Grow like the vernal grass—
The autumn sickle shall destroy thy prime.
But nations shout the word
Which ne’er before they heard,
The name of glory, fearful yet sublime.
The Pharaohs are forgot,
Their works confess them not:
Pass, hero! pass,—poor straw upon the gulf of Time!”
It will be remembered how Napoleon’s disastrous Egyptian
campaign ended; and how he secretly embarked for France, and
read during his passage both the Bible and the Koran with great
assiduity.
Among the interesting memorials of Mary Queen of Scots at
Holyrood Palace, Edinburgh, there remains the Sun-dial placed in the
centre of the palace-garden, and usually denominated “Queen
Mary’s Dial.”
It is the apex of a richly-ornamented pedestal, which rests upon a
hexagonal base, consisting of three steps. The form of the ‘horologe’ is
multangular; for though its principal sections are pentagonal, yet from their
terminating in pyramidal points, and being diametrically opposed to each
other, again connected by triangular interspaces, it presents no fewer than
twenty sides, on which are placed twenty-two dials, inserted into circular,
semicircular, and triangular cavities. Between the dials are the royal arms of
Scotland, with the initials M. R., St. Andrew, St. George, fleurs-de-lis, and
other emblems. This memorial carries us back nearly three centuries, when
Holyrood was a palace
Where “Mary of Scotland” kept her court.
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