Sidelobe rejection in a uniform linear array antenna using windowing techniques

IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 03 Special Issue: 04 | May-2014 | NCRTECE-2014, Available @ http://www.ijret.org 46
SIDELOBE REJECTION IN A UNIFORM LINEAR ARRAY ANTENNA
USING WINDOWING TECHNIQUES
L. Sarika1
, P. Nandini2
, S. Bharathi3
, Y. Dhana Lakshmi4
, Sameena Suresh5
1
Assistant Professor, Department of ECE, Gayatri Vidya Parishad College of Engineering for Women
2
Student, Department of ECE, Gayatri Vidya Parishad College of Engineering for Women
3
4
5
Abstract
In this paper the radiation pattern of Uniform linear arrays like Broad Side Array and End Fire Array with reduced side lobes is
generated. For some applications, single element antennas are unable to meet the gain or radiation pattern requirements. So
combining several single antenna elements in an array can be a possible solution. Array is a system of similar antennas oriented
similarly to get greater directivity in a desired direction. Various techniques can be used to reduce the side lobes in the radiation
pattern. Here, we employ windowing techniques for the reduction of side lobes. MATLAB (7.12) is the Simulation Platform. Various
Windows used are Rectangular, Hamming, Hanning, Gaussian, Blackmann, Bartlett, Tukey, Parzen, Kaiser Windows
Keywords— radiation pattern, Directivity, Hamming, Hanning, Gaussian Bartlett
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1. INTRODUCTION
Antenna is a transducer designed to transmit or receive
electromagnetic waves. It is usually used with a radio
transmitter or radio receiver. In transmission, a radio transmitter
supplies an electric current oscillating at radio frequency (i.e.
high frequency AC) to the antenna's terminals, and the antenna
radiates the energy as electromagnetic waves (radio waves). In
reception, an antenna intercepts some of the power of an
electromagnetic wave in order to produce a tiny voltage at its
terminals that is applied to a receiver to be amplified.
Antenna array (electromagnetic) is a group of isotropic
radiators such that the currents running through them are of
different amplitudes and phases. For some applications, single
element antennas are unable to meet the gain or radiation
pattern requirements. So combining several single antenna
elements in an array can be a possible solution. These can be
classified into two types.
1.1 Uniform Linear Array
A uniform array is defined by uniformly-spaced identical
elements of equal magnitude with a linearly progressive phase
from element to element.
1.2 Non-Uniform Linear Array
Arrays that have dissimilar sources and are unequally spaced is
known as Non- Uniform Linear Array.
2. TYPES
The phasing of the uniform linear array elements may be
chosen such that the main lobe of the array pattern lies along
the array axis (end-fire array) or normal to the array axis
(broadside array).
End-fire array mainlobe at theta= 0degrees or 180 degrees
Broadside array main lobe at theta = 90degrees
2.1 End-Fire Array
A linear array whose direction of maximum radiation is along
the axis of the array; It may be either unidirectional or
bidirectional; the elements of the array are parallel.
2.2 Broad-Side Array
The maximum radiation intensity is in the direction
perpendicular to the plane of the array because the fields of all
the radiators are in phase in that direction
3. RADIATION PATTERN
It is the Graphical Representation of the Radiation properties as
a function of space. This can be explained in two patterns
FIELD STRENGTH PATTERN, POWER PATTERN. The
following diagram represents the Radiation pattern of Uniform
Linear Array in Rectangular and Polar co-ordinate systems. In
the field of antenna design, the term radiation pattern (or

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antenna pattern or far-field pattern) refers to the directional
(angular) dependence of the strength of the radio waves from
the antenna or other source.
Fig 1: Radiation pattern of Uniform Linear Array
3.1 Broad Side Array:
The Radiation pattern of Broad Side Array is as follows:
Fig2: Radiation pattern of Broad Side Array
3.2 End Fire Array
The Radiation pattern of End Fire Array is as follows
Fig3: Radiation pattern of End fire Array
3.3 Array Factor
The overall radiation pattern changes when several antenna
elements are combined in an array. This is due to the so called
array factor. This factor quantifies the effect of combining
radiating elements in an array without the element specific
radiation pattern taken into account. The overall radiation
pattern of an array is determined by this array factor. combined
with the radiation pattern of the antenna element.
Array factor depends on the excitation of currents both
Amplitude and phase and position of elements.
3.4 Pattern of Multiplication:
It states that the Radiation Pattern of an array is the product of
the pattern of the individual antenna with the array pattern. It
helps to sketch the Radiation pattern of an Array Antenna
rapidly from the simple product of Element pattern and Array
Pattern. If we assume that all the polar radiation patterns of the
elements taken individually are identical (within a certain
tolerance) and that the patterns are all aligned in the same
direction in azimuth and elevation, then the total array antenna
pattern is got by multiplying the array pattern by the element
pattern.
PATTERN MULTIPLICATION THEOREM
Array pattern=Array element pattern*Array Factor
One of the major drawback of a Uniform linear Array is the
presence of Side lobes. This can be overcome by using several
techniques.
4. WINDOWING TECHNIQUES
A Window function also known as apodization or tapering
function. It is a mathematical Function that is zero value outside
of some chosen interval. An ideal window shape will taper off
at the ends of the input record, but still have a reasonable
compact and narrow spectrum.
4.1 Different Windowing Techniques:
4.1.1 Rectangular Window:
The rectangular window is sometimes known as a Dirichlet
window. It is the simplest window, equivalent to replacing all
but N values of a data sequence by zeros, making it appear as
though the waveform suddenly turns on and off.

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4.1.2 Hanning Window
‗The ends of the cosine just touch zero, so the side-lobes roll off
at about 18 dB per octave. The Hann and Hamming windows,
both of which are in the family known as "raised cosine" or
"generalized Hamming" windows, are respectively named after
Julius von Hann and Richard Hamming. The term "Hanning
window" is sometimes (erroneously) used to refer to the Hann
window.
4.1.3 Hamming Window
The "raised cosine" with these particular coefficients was
proposed by Richard W. Hamming. The window is optimized
to minimize the maximum (nearest) side lobe, giving it a height
of about one-fifth that of the Hann window, a raised cosine with
simpler coefficients.
4.1.4 Tukey Window
4.2 Advantages of Windowing Techniques
1. For obtaining a narrow beam width of broadside and end fire
array we have some possibilities:
-increasing number of elements in the array or decreasing
wavelength. These two possibilities lead to high cost.
2. Using windowing techniques with less number of elements
side lobe levels can be reduced and reducing cost.
-increasing spacing. But it leads to grating lobe. Windowing
techniques does not result in grating lobes.

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3. Using binomial array:
The disadvantage in binomial array is the large beam width of
the main lobe which is undesirable.
4. Taylor‘s Distribution:
It has disadvantage in case of very large arrays, as all the
radiation elements in the array require independent sources
leading to a number of sources equal to that of radiating
elements.
4.3 Applications
The patterns with small beam widths and low side lobes are
widely used for
-point to point communication
-high resolution radar
-long range detection
Major problem in uniform linear arrays is that the main lobes
are associated with number of side lobes around them. The
presence of high side lobes causes electromagnetic interference
in radar receiver due to nearby objects. Sometimes this
interference is so high that it leads to abnormal echoes.
Moreover, with the presence of high side lobes the system is
susceptible for jamming.
5. RESULTS
Radiation pattern of broad side array with reduced side lobes
Radiation Pattern of Endfire Array with Reduced Side Lobes
6. CONCLUSIONS
Hence, the above results are the graphs that are simulated after
the rejection of side lobes. Using windowing techniques with
less number of elements side lobe levels can be reduced But it
leads to grating lobe. Windowing techniques does not result
grating lobes. Different windowing techniques leads to various
results having reduced side lobes but a trade off hast to be made
on side lobe level and directivity.
WINDOWING
TECHNIQUE
SIDE LOBE
LEVEL
(ENDFIRE
SIDE LOBE
LEVEL(BRO
ADSIDE
ARRAY)
Uniform
Array(INPUT)
-13 -12.6
Kaiser window -14 -13.6
Hanning window -32 -30
Tukey window -15 -16
Hamming window -36 -36
Parzen and
Blackman window
No side lobes No side lobes

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REFERENCES
[1] Edward C Jordan, ―Electro magnetic waves and
Radiating Systems ‖, Prentice Hall of India Pvt.Ltd,
New Delhi, 2005.
[2] John D Kraus, ―Antennas and Wave Propagation ‖,Tata
McGraw Hill Education Pvt.Ltd, New Delhi.
[3] C Britttors Rorabaugh, ―Digital Signal Processing
Primer‖ .
[4] Md Abdus Samad, ―A NOVEL WINDOW FUNCTION
YIELDING SUPPRESSED MAINLOBE WIDTH AND
MINIMUM SIDELOBE PEAK‖, International Journal
of Computer Science, Engineering and Information
Technology (IJCSEIT), Vol.2, No.2, April 2012
[5] N. Sayedu Khasim1, Y.Murali Krishna2, Jagadeesh
Thati3, ―Analysis of Different Tapering Techniques for
Efficient Radiation Pattern‖ , e-Journal of Science &
Technology (e-JST) .
[6] Q. M. Alfred, K. Bishayee, T. Chakravarty, S. K.
Sanyal, A DSP BASED STUDY OF PATTERN
NULLING AND PATTERN SHAPING USING
TRANSFORM DOMAIN WINDOW TECHNIQUE,
Progress In Electromagnetics Research C, Vol. 2, 31–45,
2008.
[7] Subhadeep Chakraborty, ―Advantages of Blackman
Window over Hamming Window Method for designing
FIR Filter” , International Journal of Computer Science
& Engineering Technology.
[8] Lotfi Merad, Fethi Bendimerad, Sidi Meriah, ―Design of
Linear Antenna Arrays for Side Lobe Rejection Using
Tabu Search Method, The International Arab Journal,
Vol.5, No.3, July 2008.
[9] T.S..Jeyali Laseetha , Dr. R.Sukanesh, ―Synthesis of
Linear Antenna Array using Genetic Algorithm to
Maximize Sidelobe Level Reduction” ,International
Journal of Computer Applications (0975 – 8887),
Volume 20– No.7, April 2011

Sidelobe rejection in a uniform linear array antenna using windowing techniques

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