volume | PIER Journals

Abstract

Linear and circular arrays are optimized using the particle swarm optimization (PSO) method. Also, arrays of isotropic and cylindrical dipole elements are considered. The parameters of isotropic arrays are elements excitation amplitude, excitation phase and locations, while for dipole array the optimized parameters are elements excitation amplitude, excitation phase, location, and length. PSO is a high-performance stochastic evolutionary algorithm used to solve N-dimensional problems. The method of PSO is used to determine a set of parameters of antenna elements that provide the goal radiation pattern. The effectiveness of PSO for the design of antenna arrays is shown by means of numerical results. Comparison with other methods is made whenever possible. The results reveal that design of antenna arrays using the PSO method provides considerable enhancements compared with the uniform array and the synthesis obtained from other optimization techniques.

1. Schelkunoff, S., "A mathematical theory of linear arrays," Bell Systems Technology Journal, Vol. 22, No. 1, 80-107, 1943. Google Scholar

2. Keizer, W. P., "Fast low-sidelobe synthesis for large planar array antennas utilizing successive fast fourier transform of the array factor ," IEEE Trans. on Antennas and Propagat., Vol. 55, No. 3, 715-730, March 2007.
doi:10.1109/TAP.2007.891511 Google Scholar

3. Woodward, P. M. and J. P. Lawson, "The theoretical precision with which an arbitrary radiation pattern may be obtained from a source of finite size," Proc. IEEE, Vol. 95, No. 1, 120-126, 1948. Google Scholar

4. Dolph, C., "A current distribution for broadside arrays which optimizes the relationship between beamwidth and side-lobe level," Institute of Radio Engineers (IRE), Vol. 34, No. 6, 335-348, 1946. Google Scholar

5. Balanis, C. A., Antenna Theory Analysis and Design, 2 Ed., John Wiley & Sons, 1997.

6. Moffett, A. L., "Array factors with non uniform spacing parameters," IRE Trans. on Antennas and Propagat., Vol. 10, 131-136, 1962.
doi:10.1109/TAP.1962.1137831 Google Scholar

7. Ishimaru, A. and Y. S. Chen, "Thinning and broadbanding antenna arrays by unequal spacings," IEEE Trans. on Antennas and Propagat., Vol. 13, 34-42, 1965.
doi:10.1109/TAP.1965.1138378 Google Scholar

8. Lo, Y. T. and S. W. Lee, "A study of space tapered arrays," IEEE Trans. on Antennas and Propagat., Vol. 14, No. 1, 22-30, January 1966.
doi:10.1109/TAP.1966.1138612 Google Scholar

9. Ma, X. and B. K. Chang, "Least square method for optimum thinned antenna arrays," IEEE Antennas and Propagat. Society International Symposium, Vol. 4, No. 13, 2232-2235, July 1997. Google Scholar

10. Ng, B. P., "Designing array patterns with optimum inter-element spacings and optimum weights using a computer-aided approach ," Int. J. Electron., Vol. 73, No. 3, 653-664, September 1992.
doi:10.1080/00207219208925700 Google Scholar

11. Ng, B. P., M. H. Er, and C. A. Kot, "Linear array aperture synthesis with minimum sidelobe level and null control," IEE Proc. --- Microwave Antennas Propagat., Vol. 141, No. 3, 2674-2679, June 1994. Google Scholar

12. Ng, B. P., "Array synthesis using a simple computer-aided approach," Electron. Lett., Vol. 26, No. 5, 337-339, March 1990.
doi:10.1049/el:19900221 Google Scholar

13. Ismail, T. H. and M. M. Dawoud, "Null steering in phased arrays by controlling the element positions," IEEE Trans. on Antennas and Propagat., Vol. 39, No. 11, 1561-1566, November 1991.
doi:10.1109/8.102769 Google Scholar

14. Er, M. H., S. L. Sim, and S. N. Koh, "Application of constrained optimization techniques to array pattern synthesis," Signal Process, Vol. 34, No. 3, 323-334, 1993.
doi:10.1016/0165-1684(93)90139-2 Google Scholar

15. Steinberg, B. D., "Comparison between the peak sidelobe of random array and algorithmically designed aperiodic arrays," IEEE Trans. on Antennas and Propagat., Vol. 21, 366-369, 1973.
doi:10.1109/TAP.1973.1140493 Google Scholar

16. Rahmat-samii, Y. and C. G. Christodoulou, "Special issue on synthesis and optimization techniques in electromagnetics and antenna system design," IEEE Trans. on Antennas and Propagat., Vol. 55, No. 3, 518-522, March 2007.
doi:10.1109/TAP.2007.891879 Google Scholar

17. Shavit, R. and I. Taig, "Array pattern synthesis using neural networks with mutual coupling effect," IEE Proc. Microw. Antennas Propag., Vol. 152, No. 5, 354-358, October 2005.
doi:10.1049/ip-map:20045121 Google Scholar

18. Guney, K. and N. A. Sarikaya, "Hybrid method based combining artifical neural network and fuzzy inference system for simultaneous computation of resonant frequencies of rectangular, circular, and triangular microstrip antennas," IEEE Trans. on Antennas and Propagat., Vol. 55, No. 3, 659-668, March 2007.
doi:10.1109/TAP.2007.891566 Google Scholar

19. Ng, B. P., "Array synthesis using a simple computer-aided approach," Electron. Lett., Vol. 26, No. 5, 337-339, March 1990.
doi:10.1049/el:19900221 Google Scholar

20. Goldberg, D. E., Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley Longman Publishing Co. Inc., 1989.

21. Tennant, A., M. M. Dawoud, and A. P. Anderson, "Array pattern nulling by element position perturbations using genetic algorithm ," IEEE Electronics Letters, Vol. 30, No. 3, 174-176, February 1994.
doi:10.1049/el:19940139 Google Scholar

22. Ares, F., S. R. Rengarajan, E. Villanueva, E. Skochinski, and F. Moreno, "Application of genetic algorithms and simulated annealing technique in optimizing the aperture distributions of antenna array patterns," Electron. Lett., Vol. 32, No. 3, 148-149, February 1996.
doi:10.1049/el:19960157 Google Scholar

23. Samii, Y. R. and E. Michielssen, Electromagnetic Optimization by Genetic Algorithms, John Wiley and Sons, 1999.

24. Merino, A. R., R. L. Miranda, and J. L. Bonilla, "Optimization method based on genetic algorithms," Apeiron, Vol. 12, No. 4, 394-408, October 2005. Google Scholar

25. Marcano, J. D. and F. Duran, "Synthesis of antenna arrays using genetic algorithms," IEEE Antennas and Propagat. Magazine, Vol. 42, No. 3, 12-20, June 2000.
doi:10.1109/74.848944 Google Scholar

26. Haupt, R. L., "Thinned arrays using genetic algorithms," IEEE Trans. on Antennas and Propagat., Vol. 42, No. 7, 993-999, July 1994.
doi:10.1109/8.299602 Google Scholar

27. Shimizu, M., "Determining the excitation coefficients of an array using genetic algorithms," IEEE Antennas and Propagat. Society International Symposium, Vol. 1, No. 20-24, 530-533, June 1994. Google Scholar

28. Yan, K. K. and Y. Lu, "Sidelobe reduction in array-pattern synthesis using genetic algorithm," IEEE Trans. on Antennas and Propagat., Vol. 45, No. 7, 1117-1122, July 1997. Google Scholar

29. Jones, E. A. and W. A. Joines, "Design of Yagi-Uda antennas using genetic algorithms," IEEE Trans. on Antennas and Propagat., Vol. 45, No. 9, 1386-1392, September 1997.
doi:10.1109/8.623128 Google Scholar

30. Donelli, M., S. Caorsi, F. Denatala, M. Pastorino, and A. Massa, "Linear antenna synthesis with a hybrid gentic algorithm," Progress In Electromagnetics Research, Vol. 49, 1-22, 2004.
doi:10.2528/PIER03121301 Google Scholar

31. Mohanty, G. K., A. Chakrobarty, and S. Das, "Phase only and amplitude phase synthesis of dual pattern linear antenna arrays using floating point genetic algorithms," Progress In Electromagnetic Research, Vol. 68, 247-259, 2007.
doi:10.2528/PIER06072301 Google Scholar

32. Misra, I. S., R. S. Chakrobarty, and B. B. Mangaraj, "Design, analysis and optimization of V dipole and its three element Yagi-Uda array," Progress In Electromagnetic Research, Vol. 66, 137-156, 2006.
doi:10.2528/PIER06102604 Google Scholar

33. Ferreira, J. A. and F. Ares, "Pattern synthesis of conformal arrays by the simulated annealing technique," Electron. Lett., Vol. 33, No. 14, 1187-1189, July 3, 1997.
doi:10.1049/el:19970838 Google Scholar

34. Kirkpatrick, S., C. D. Gellatt, and M. P. Vecchi, "Optimization by simulated annealing," Science, Vol. 220, No. 4598, 671-680, 1983.
doi:10.1126/science.220.4598.671 Google Scholar

35. Murino, V., A. Trucco, and C. S. Regazzoni, "Synthesis of unequally spaced arrays by simulated annealing," IEEE Trans. on Signal Processing, Vol. 44, No. 1, 119-123, January 1996.
doi:10.1109/78.482017 Google Scholar

36. Ares, F., S. R. Rengarajan, E. Villanueva, E. Skochinski, and F. Moreno, "Application of genetic algorithms and simulated annealing technique in optimizing the aperture distributions of antenna array patterns," Electron. Lett., Vol. 32, No. 3, 148-149, February 1996.
doi:10.1049/el:19960157 Google Scholar

37. Rocha-Alicano, C., D. Covarrubias-Rosales, C. Brizuela-Rodriguez, and M. Panduro-Mendoza, "Differential evolution algorithm applied to sidelobe level reduction on a planar array," AEU International Journal of Electronic and Communications, Vol. 61, No. 5, 286-290, 2007.
doi:10.1016/j.aeue.2006.05.008 Google Scholar

38. Merad, L., F. Bendimerad, and S. Meriah, "Design of linear antenna arrays for side lobe reduction using the tabu search method," The International Arab Journal of Information Technology, Vol. 5, No. 3, 219-222, July 2008. Google Scholar

39. Kennedy, J. and R. C. Eberhart, "Particle swarm optimization," Proc. IEEE Int. Conf. Neural Networks, Vol. 1942-1948, Piscataway, NJ, 1995. Google Scholar

40. Eberhart, R. C. and Y. Shi, "Particle swarm optimization: Devel-opments, applications and resources," Proc. Congr. Evolutionary Computation, Vol. 1, 81-86, 2001. Google Scholar

41. Perez, J. R. and J. Basterrechea, "Comparison of different heuristic optimization methods for nearfield antenna measurements," IEEE Trans. on Antennas and Propagat., Vol. 55, No. 3, 549-555, March 2007.
doi:10.1109/TAP.2007.891508 Google Scholar

42. Khodier, M. M. and C. G. Christodoulou, "Linear array geometry synthesis with minimum sidelobe level and null control using particle swarm optimization," IEEE Trans. on Antennas Propagat., Vol. 53, No. 8, 2674-2679, August 2005.
doi:10.1109/TAP.2005.851762 Google Scholar

43. Bataineh, M. H. and J. I. Ababneh, "Synthesis of a periodic linear phased antenna array using particle swarm optimization," Electromagnetics, Vol. 26, No. 7, 531-541, October 2006.
doi:10.1080/02726340600872948 Google Scholar

44. Boeringer, D. W. and D. H. Werner, "Particle swarm optimization versus genetic algorithms for phased array synthesis," IEEE Trans. on Antennas and Propagat., Vol. 52, No. 3, 771-779, March 2004.
doi:10.1109/TAP.2004.825102 Google Scholar

45. Nanbo, J. and Y. Rahmat-Samii, "Advances in particle swarm optimization for antenna designs: Real-number, binary, single-objective and multiobjective implementations," IEEE Trans. on Antennas and Propagat., Vol. 55, No. 3, 556-567, March 2007.
doi:10.1109/TAP.2007.891552 Google Scholar

46. Dennis, G. and Y. Rahmat-Samii, "Particle swarm optimization for reconfigurable phase differentiated array design," Microwave and Optical Technology Letters, Vol. 38, No. 3, 168-175, August 5, 2003. Google Scholar

47. Baskar, S., A. Alphones, P. N. Suganthan, and J. J. Liang, "Design of Yagi-Uda antennas using comprehensive learning particle swarm optimization," IEE Proc. in Microw. Antennas Propagat., Vol. 152, No. 5, 340-346, October 2005.
doi:10.1049/ip-map:20045087 Google Scholar

48. Huang, T. and A. S. Mohan, "A microparticle swarm optimizer for the reconstruction of microwave images," IEEE Trans. on Antennas and Propagat., Vol. 55, No. 3, 568-576, March 2007.
doi:10.1109/TAP.2007.891545 Google Scholar

49. Mahmoud, K. R., M. E. El-Adawy, S. M. M. Ibrahem, R. Bansal, and S. H. Zainud-Deen, "Comparison between circular and hexagonal array geometries for smart antenna systems using particle swarm optimization algorithm," Progress In Electromagnetic Research, Vol. 72, 75-90, 2007.
doi:10.2528/PIER07030904 Google Scholar

50. Baskar, S., A. Alphones, P. N. Suganthan, and J. J. Liang, "Design of Yagi-Uda antennas using comprehensive learning particle swarm optimization," IEEE Microwave Antenna Propagat., Vol. 152, No. 5, 340-346, October 2005.
doi:10.1049/ip-map:20045087 Google Scholar

51. Chen, T. B., Y. L. Dong, Y. C. Jiao, and F. S. Zhang, "Synthesis of circular antenna array using crossed particle swarm optimization algorithm," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1785-1795, 2006.
doi:10.1163/156939306779292273 Google Scholar

52. Ciuprina, G., D. Ioan, and I. Munteanu, "Use of intelligent particle swarm optimization in electromagnetics," IEEE Trans. on Magnetics, Vol. 38, No. 2, 1037-1040, March 2002.
doi:10.1109/20.996266 Google Scholar

53. Robinson, J. and Y. Rahmat-Samii, "Particle swarm optimization in electromagnetics," IEEE Trans. on Antennas and Propagat., Vol. 52, No. 2, 397-407, February 2004.
doi:10.1109/TAP.2004.823969 Google Scholar

54. Ababneh, J., M. Khodier, and N. Dib, "Synthesis of interdigital capacitors based on particle swarm optimization and artificial neural networks," International Journal of RF and Microwave Computer-aided Engineering, Vol. 16, No. 4, 322-330, February 2006.
doi:10.1002/mmce.20141 Google Scholar

55. Xu, S. and Y. Rahmat-Samii, "Boundary conditions in particle swarm optimization revisited," IEEE Trans. on Antennas and Propagat., Vol. 55, No. 3, 760-765, March 2007.
doi:10.1109/TAP.2007.891562 Google Scholar

56. Alander, J. T., L. A. Zinchenko, and S. N. Sorokin, "Analysis of fitness landscape properties for evolutionary antenna design," IEEE International Conference on Artificial Intelligent Systems, 363-368, 2002. Google Scholar

57. Lohn, J. D., W. F. Kraus, D. S. Linden, and S. P. Colornbano, "Evolutionary optimization of Yagi-Uda antennas," International Conference on Evolvable Systems, 236-243, Tokyo, October 3-5, 2001. Google Scholar

58. King, R. W. P., "Supergain antennas and the yagi and circular arrays," IEEE Trans. on Antennas and Propagat., Vol. 37, No. 2, 178-186, February 1989.
doi:10.1109/8.18704 Google Scholar

59. Panduro, M. A., A. L. Mendez, G. Romero, and R. F. Dominguez, "Design of non-uniform circular antenna arrays for side lobe reduction using the method of genetic algorithms," Vehicular Technology Conference VTC, Vol. 6, 2696-2700, May 2006. Google Scholar

60. Shihab, M., Y. Najjar, N. Dib, and M. Khodier, "Design of non-uniform circular antenna arrays using particle swarm optimization," Journal of Electrical Engineering, Vol. 5, No. 4, 216-220, 2008. Google Scholar

61. Orfanidis, S. J., "Electromagnetic waves and antennas,", www.ece.rutgers.edu/orfanidi/ewa., 2003. Google Scholar

Dr. Majid M. Khodier

Dr. Mohammad Al-Aqeel