On Chebyshev Array Design Using Particle Swarm Optimization
Mohammed H. Bataineh
.
DOI: 10.4236/jemaa.2011.36035   PDF    HTML     7,700 Downloads   13,207 Views   Citations

Abstract

In this paper, the evolutionary algorithm of particle swarm optimization (PSO) is applied to synthesis an optimal linear array in the Chebychev sense. Equiripple radiation patterns may be obtained by synthesizing the excitation currents feeding the array or by carefully choosing the interelement spacing. The desired equal side lobes level is achieved simultaneously with the narrowest possible beamwidth (high directivity). Though the optimization problem may become nonlinear, convex and/or sometimes nonconvex, it can be handled using an efficient, a robust and a nongradient based particle swarm optimizer algorithm. In order to effectively utilize this algorithm it is important to define an appropriate objective, or cost, function that return a single number to enable the PSO algorithm minimizing it. In this paper, the objective function is formulated taking into consideration the level of the side lobes as well as the main beam width. In addition to satisfy the objective function, the obtained results using the proposed technique are in agreement with those available in the literature.

Share and Cite:

M. Bataineh, "On Chebyshev Array Design Using Particle Swarm Optimization," Journal of Electromagnetic Analysis and Applications, Vol. 3 No. 6, 2011, pp. 213-219. doi: 10.4236/jemaa.2011.36035.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] 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, pp. 335-348.
[2] M. Greenberg, “Advanced Engineering Mathematics,” Prentice-Hall, New Jersey, 1998.
[3] Balanis, “Antenna Theory Analysis and Design,” 3rd edition, John Wiley, San Francisco, 2005.
[4] A. Safaai-Jazi, “A New Formulation for the Design of Chebyshev Arrays,” IEEE Transactions on Antennas and Propagation, Vol. 42, No. 3, 1994, pp. 439-443.
[5] S. Nagesh and T. Vedavathy, “A Procedure for Synthesizing a Specified Sidelobe Topography Using an Arbitrary Array”, IEEE Transactions on Antennas and Propagation, Vol. 43, 1995, pp. 742-745.
[6] H. Lebret and S. Boyd, “Antenna Array Pattern Synthesis via Convex Optimization,” IEEE Transactions on Signal Processing, Vol. 45, No. 3, pp. 526-532. 1997. doi:10.1109/78.558465
[7] D. Shpak and A. Antoniou, “A Flexible Optimization Method for the Pattern Synthesis of Equispaced Linear Arrays with Equiphase Excitation,” IEEE Transactions on Antennas and Propagation, Vol. 40, No. 10, 1992, pp. 1113-1120.
[8] D. Shpak, “A Method for the Optimal Pattern Synthesis of Linear Arrays with Prescribed Nulls”, IEEE Transactions on Antennas and Propagation, Vol. 44, 1996, pp. 286-294,
[9] M. Dahab, K. Hijjah and S. Khamy, “A New Technique for Linear Array Processing for Reduced Sidelobes Using Neural Networks,” Proceedings of the Fifteenth National, Egypt, 24-26 Feb 1998.
[10] Y. Rahmat-Samii and E. Michielssen, “Electromagnetic Optimization by Genetic Algorithms,” Wiley, New York, 1999.
[11] J. Robinson and Y. Rahmat-Samii, “Particle Swarm Optimization in Electromagnetics,” IEEE Transactions on Antennas and Propagation, Vol. 52, No. 2, 2004, pp. 397-402.
[12] D. Boeringer and D. Werner, “Particle Swarm Optimization versus Genetic Algorithms for Phased Array Synthesis,” IEEE Transactions on Antennas and Propagation, Vol. 52, No. 3, 2004, pp. 771-779.
[13] J. Kennedy and R. Eberhart, “Particle Swarm Optimization,” Proc. IEEE Conference of Neural Network IV, Piscataway, New Jersey, 1995.
[14] S. Baskar, R. Zheng, A. Alphones, N. Ngo and P. Suganthan, “Particle Swarm Optimization for the Design of Low Dispersion Fiber Bragg Gratings,” IEEE Photonics Technology Letters, Vol. 17, No. 3, 2005, pp.615-617. doi:10.1109/LPT.2004.840924
[15] J. Robinson, S. Sinton and Y. Rahmat-Samii, “Particle Swarm, Genetic Algorithm, and their Hybrids: Optimization of a Profiled Corrugated Horn Antenna,” IEEE Antennas and Propagation Society International Symposium, Vol. 1, 2002, pp. 314-317.
[16] Y. Rahmat-Samii and C. Christodoulou, “Special Issue on Synthesis on Synthesis and Optimization Techniques in Electromagnetic and Antenna System Design,” IEEE Transactions on Antennas and Propagation, Vol. 55, pp. 518-522, 2007. doi:10.1109/TAP.2007.891879
[17] R. C. Eberhart and Y. Shi, “Evolving Artificial Neural Networks,” Proceeding. International Conference of Neural Networks Brain, Beijing, 1998.
[18] J. Kennedy and W. M. Spears, “Matching Algorithm to Problems: An Experimental Test of the Particle Swarm and Genetic Algorithms on Multimodal Problem Generator,” Proceeding IEEE International Conference of Evolutionary Computation, 1998.
[19] I. C. Trelea, “The Particle Swarm Optimization Algorithm: Convergence Analysis and Parameter Selection,” Information Processing Letters, Vol. 85, 2003, pp. 317-325. doi:10.1016/S0020-0190(02)00447-7
[20] D. W. Boeringer and D. H. Werner, “Particle Swarm Optimization versus Genetic Algorithms for Phased Array Synthesis,” IEEE Transactions on Antennas and Propagation, Vol. 52, No. 3, 2004, pp. 771-779. doi:10.1109/TAP.2004.825102
[21] R. Shavit and I. Taig, “Array Pattern Synthesis Using Neural Networks with Mutual Coupling Effect,” IEEE Proceeding of Microwave Antennas Propagation, Vol. 152, 2005, pp. 354-358. doi:10.1049/ip-map:20045121
[22] K. Guney and N. Sarikaya, “A Hybrid Method Based Combining Artificial Neural Network and Fuzzy Inference System for Simultaneous Computation of Resonant Frequencies of Recetngular, Circular, and Triangular Microstrip Antennas,” IEEE Transactions Antennas and Propagation, Vol. 55, 2007, pp. 659-668. doi:10.1109/TAP.2007.891566
[23] S. Selleri, M. Mussetta, P. Pirinoli, R. E. Zinch and L. Matekovits, “Differentiated Meta-PSO Methods for Array Optimization”, IEEE Transactions on Antennas and Propagation, Vol. 56, 2008.
[24] W. Li, W. Shi, Y. Hei, S. Liu and J. Zhu, “A Hybrid Optimization Algorithm and Its Application for Conformal Array Pattern Synthesis”, IEEE Transactions on Antennas and Propagation, Vol. 58, 2010, pp. 3401-3406. doi:10.1109/TAP.2010.2050425

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.