CFP last date
20 May 2024
Call for Paper
June Edition
IJCA solicits high quality original research papers for the upcoming June edition of the journal. The last date of research paper submission is 20 May 2024

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Privacy Preservation: Multi-Attribute Protection with P-Sensitive K-Anonymity

Twinkle Patel Kiran Amin
Random Articles
Reseach Article

Side Lobe Level Reduction of a Linear Array using Chebyshev Polynomial and Particle Swarm Optimization

Published on June 2013 by Soumyo Chatterjee, Sayan Chatterjee, Dipak Ranjan Poddar
journal_cover_thumbnail

International Conference on Communication, Circuits and Systems 2012
Foundation of Computer Science USA
IC3S - Number 1
June 2013
Authors: Soumyo Chatterjee, Sayan Chatterjee, Dipak Ranjan Poddar
7c1a396f-f43e-4609-87d3-35c6ab9d8227

Soumyo Chatterjee, Sayan Chatterjee, Dipak Ranjan Poddar . Side Lobe Level Reduction of a Linear Array using Chebyshev Polynomial and Particle Swarm Optimization. International Conference on Communication, Circuits and Systems 2012. IC3S, 1 (June 2013), 18-21.

@article{
author = { Soumyo Chatterjee, Sayan Chatterjee, Dipak Ranjan Poddar },
title = { Side Lobe Level Reduction of a Linear Array using Chebyshev Polynomial and Particle Swarm Optimization },
journal = { International Conference on Communication, Circuits and Systems 2012 },
issue_date = { June 2013 },
volume = { IC3S },
number = { 1 },
month = { June },
year = { 2013 },
issn = 0975-8887,
pages = { 18-21 },
numpages = 4,
url = { /proceedings/ic3s/number1/12283-1308/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Communication, Circuits and Systems 2012
%A Soumyo Chatterjee
%A Sayan Chatterjee
%A Dipak Ranjan Poddar
%T Side Lobe Level Reduction of a Linear Array using Chebyshev Polynomial and Particle Swarm Optimization
%J International Conference on Communication, Circuits and Systems 2012
%@ 0975-8887
%V IC3S
%N 1
%P 18-21
%D 2013
%I International Journal of Computer Applications
Abstract

In this paper a new approach for reducing the side lobe level of amplitude tapered linear array using Chebyshev polynomial and Particle Swarm Optimization (PSO) is presented. The array geometry synthesis is first formulated as an optimization problem with the goal of side lobe level reduction and then solved using PSO algorithm for optimum current excitations. While solving optimization problem using PSO algorithm, the boundary of search space must be available with the algorithm. Conventionally this piece of information is supplied to the algorithm in a random fashion. Instead of selecting the search space boundary in random fashion, it is being proposed to do so by using Chebyshev polynomial. Some designs examples are presented that illustrates the use of Chebyshev polynomial and PSO algorithm to reduce the Side Lobe Level (SLL).

References
  1. S. A. Schelkunoff, A Mathematical Theory of Linear Arrays, Bell System Technical Journal, Vol. 22, pp. 80-107, 1943.
  2. C. A. Balanis, Antenna Theory, Analysis and Design, 3rd Edition, John Willey, New York, 2005.
  3. C. Dolph, A Current Distribution for Broadside Arrays which optimizes the Relationship between Beamwidth and Side Lobe Level, Proceeding IRE, Vol. 34, No. 5, 1946.
  4. H. J. Riblet, Discussion on A Current Distribution for Broadside Arrays Which Optimizes the Relationship Between Beamwidth and Side-Lobe Level, Proc. IRE, May 1947, pp. 489-492.
  5. D. Barbiere, A Method for Calculating the Current Distribution of Tschebyscheff Arrays, Proc. IRE, January 1952, pp. 78-72.
  6. A Safai-Jazi, A New Formulation for the Design of Chebyshev Arrays, IEEE Transaction on Antenna and Propagation, Vol. 42, No, 3, 1994, pp. 439-443.
  7. K. -K. Yan and Y. Lu, Sidelobe Reduction in Array Pattern Synthesis using Genetic Algorithm, IEEE Transaction on Antennas and Propagation, vol. 45(7), pp. 1117-1122, July 2007.
  8. R. C. Eberhat, Y. Shi, Particle Swarm Optimization: developments, applications and reeources, evolutionary computing, Proceedings of 2001 Congress on Evolutionary Computation, vol. 1,pp. 81-86,2001.
  9. D. Boeringer and D. Werner, Particle Swarm Optimization versus Genetic Algorithms for Phased Array Synthesis, IEEE Transaction on Antennas and Propagation, Vol. 52, No. 3, 2004, pp. 771-779.
  10. J. Kennedy and R. Eberhart, Particle swarm optimization, in Proc. IEEE Int. Conf. Neural Networks, 1995, vol. IV, pp. 1942-1948.
  11. J. Robinson and Y. Rahmat-Samii, Particle Swarm Optimization in electromagnetics, IEEE Transaction on Antennas and Propagation, vol. 52, pp. 397-407, Feb. 2004.
  12. Venter G and Sobieszczanski-Sobieski J Particle Swarm Optimization, AIAA Journal, 41(8), 1583-1589, 2003.
  13. Mohammed H. Bataienh, On Chebyshev Array Design Using Particle Swarm Optimization, Journal of Electromagnetic Analysis and Applications, vol. 3,pp. 213-219, June 2011.
  14. D. Mandal, A. K. Bhattacharjee, and S. P. Ghosal, Linear Array synthesis using Improved Particle Swarm Optimization, 2nd International Conference on Emerging Applications of Information Technology, Vol. 2, pp. 365-368, Feb. ,2011.
  15. Xiamiao Zhang, Kwai Man Luk, Xue Bai, Yinhang Wang, Jinyang Li, "Ultra Low Side Lobe Level Synthesis with Particle Swarm Optimization for Symmetrical Non-uniform Linear Array Antennas", PIERS, March 24-28, 2008.
Index Terms

Computer Science
Information Sciences

Keywords

Linear Array Array Factor Chebyshev Polynomial Pso Side Lobe Level