2017-03-28
Introducing Deeper Nulls and Reduction of Side-Lobe Level in Linear and Non-Uniform Planar Antenna Arrays Using Gravitational Search Algorithm
By
Progress In Electromagnetics Research B, Vol. 73, 131-145, 2017
Abstract
Array antennas synthesis is one of the most important problems in the optimization of antenna and electromagnetics. In this paper, a recently developed metaheuristic algorithm, known as the Gravitational Search Algorithm (GSA), is employed for the pattern synthesis of linear and non-uniform planar antenna arrays with desired pattern nulls in the interfering directions and minimum side lobe level (SLL) by position-only optimization. Like other nature-inspired algorithms, GSA is also a population-based method and uses a population of solutions to proceed to a global solution. The results of GSA are validated by comparing them with the results obtained using particle swarm optimization (PSO) and some other algorithms reported in literature for linear and planar array. The side-lobe level and null depth obtained from gravitational search algorithm for planar array are improved up to -30 dB and -200 dB, respectively. The results reveal the superior performance of GSA to the other techniques for the design of linear and planar antenna arrays.
Citation
Maryam Hesari, and Ataallah Ebrahimzadeh, "Introducing Deeper Nulls and Reduction of Side-Lobe Level in Linear and Non-Uniform Planar Antenna Arrays Using Gravitational Search Algorithm," Progress In Electromagnetics Research B, Vol. 73, 131-145, 2017.
doi:10.2528/PIERB16091101
References

1. Balanis Antenna Theory Analysis and Design, 3rd Ed., Wiley, 2005.

2. Haupt, R. L., "Thinned arrays using genetic algorithms," IEEE Transactions on Antennas and Propagation, Vol. 42, 993-999, 1994.
doi:10.1109/8.299602        Google Scholar

3. Chatterjee, A., G. K. Mahanti, and P. R. S. Mahapatra, "Generation of phase-only pencil-beam pair from concentric ring array antenna using gravitational search algorithm," 2011 International Conference on Communications and Signal Processing, 384-388, 2011.
doi:10.1109/ICCSP.2011.5739343        Google Scholar

4. Chatterjee, A., G. K. Mahanti, and P. R. S. Mahapatra, "Design of fully digital controlled reconfigurable dual-beam concentric ring array antenna using gravitational search algorithm," Progress In Electromagnetics Research C, Vol. 18, 59-72, 2011.
doi:10.2528/PIERC10101806        Google Scholar

5. Chatterjee, A., G. K. Mahanti, and N. N. Pathak, "Comparative performance of gravitational search algorithm and modified particle swarm optimization algorithm for synthesis of thinned scanned concentric ring array antenna," Progress In Electromagnetics Research B, Vol. 25, 331-348, 2010.
doi:10.2528/PIERB10080405        Google Scholar

6. Singh, U. and M. Rattan, "Design of linear and circular antenna arrays using cuckoo optimization algorithm," Progress In Electromagnetics Research C, Vol. 46, 1-11, 2004.
doi:10.2528/PIERC13110902        Google Scholar

7. Bera, R., D. Mandal, R. Kar, and S. P. Ghoshal, "Application of improved particle swarm optimization technique for thinning of concentric hexagonal array antenna," World Congress on Information and Communication Technologies (WICT), IEEE, 2014.        Google Scholar

8. Roy, G. G., S. Das, and P. Chakraborty, "Design of non-uniform circular antenna arrays using a modified invasive weed optimization algorithm," IEEE Transactions on Antennas and Propagation, Vol. 59, No. 1, 110-118, January 2011.
doi:10.1109/TAP.2010.2090477        Google Scholar

9. Goswami, B. and D. Mandal, "Genetic algorithm for nulls and side lobe level control in a linear antenna array," Journal of King Saud University — Computer and Information Sciences, June 2012.        Google Scholar

10. Florence, P. V. and G. S. N. Raju, "Synthesis of linear antenna arrays using accelerate particle swarm optimization algorithm," International Journal of Computer Applications, Vol. 103, No. 3, 43-49, October 2014.
doi:10.5120/18056-8970        Google Scholar

11. Wu, H. and C. Liu, "Planar array synthesis with sidelobe reduction and null control using invasive weed optimization," Progress In Electromagnetics Research M, Vol. 33, 83-94, 2013.
doi:10.2528/PIERM13090301        Google Scholar

12. Jeyali Laseetha, T. S. and R. Sukanesh, "Synthesis of linear antenna array using genetic algorithm to maximum side lobe level reduction," International Journal of Computer Applications, Vol. 20, No. 7, 27-33, April 2011.
doi:10.5120/2445-3302        Google Scholar

13. Abdul Rani, K. N. and F. Malek, "Symmetric linear antenna array geometry synthesis using cuckoo search metaheuristic algorithm," Asia Pacific Conference on Communications, October 2011.        Google Scholar

14. Prado, D. R., J. Alvarez, M. Arrebola, M. R. Pino, R. G. Ayestaran, and F. Las-Heras, "Efficient, accurate and scalable reflectarray phase-only synthesis based on the LevenbergMarquardt algorithm," Applied Computational Electromagnetics Society (ACES) Journal, Vol. 30, No. 12, 1246-1255, December 2015.        Google Scholar

15. Perini, J. and M. Idselis, "Note on antenna pattern synthesis using numerical iterative methods," IEEE Transactions on Antennas and Propagation, Vol. 19, No. 2, 284-286, March 1971.
doi:10.1109/TAP.1971.1139919        Google Scholar

16. Zhou, M., S. B. Sorensen, O. S. Kim, E. Jorgensen, P. Meincke, and O. Breinbjerg, "Direct optimization of printed reflectarrays for contoured beam satellite antenna applications," IEEE Transaction on Antennas and Propagation, Vol. 61, No. 4, 1995-2004, April 2013.
doi:10.1109/TAP.2012.2232037        Google Scholar

17. Prado, D. R., M. Arrebola, M. R. Pino, and F. Las-Heras, "Complex reflection coefficients synthesis applied to dual-polarized reflectarrays with crosspolar requirements," IEEE Transactions on Antennas and Propagation, Vol. 63, No. 9, 3897-3907, September 2015.
doi:10.1109/TAP.2015.2447005        Google Scholar

18. Bucci, O. M., G. Franceschetti, G. Mazzarella, and G. Panariello, "Intersection approach to array pattern synthesis," IEE Proc. Microw. Antennas Propag., Vol. 137, No. 6, 349-357, December 1990.
doi:10.1049/ip-h-2.1990.0064        Google Scholar

19. Chen, K., X. Yun, Z. He, and C. Han, "Synthesis of sparse planar arrays using modified real genetic algorithm," IEEE Transaction on Antennas and Propagation, Vol. 55, 1067-1073, 2007.
doi:10.1109/TAP.2007.893375        Google Scholar

20. Robinson, J. and Y. Rahmat-Samii, "Particle swarm optimization in electromagnetics," IEEE Transaction on Antennas and Propagation, Vol. 52, 397-407, 2004.
doi:10.1109/TAP.2004.823969        Google Scholar

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

22. Karimkashi, S. and A. Kishk, "Invasive weed optimization and its features in electromagnetics," IEEE Transaction on Antennas and Propagation, Vol. 58, 1269-1278, 2010.
doi:10.1109/TAP.2010.2041163        Google Scholar

23. Rocca, P., G. Oliveri, and A. Massa, "Differential evolution as applied to electromagnetics," IEEE Antennas and Propagation Magazine, Vol. 53, 38-49, 2011.
doi:10.1109/MAP.2011.5773566        Google Scholar

24. Tolga Altinoz, O. and A. Egemen Yilmaz, "Calculation of optimized parameters of rectangular patch antenna using Gravitional Search Algorithm," International Symposium on Innovations in Intelligent Systems and Applications, 2011.        Google Scholar

25. Wang, W.-B., Q. Feng, and D. Liu, "Application of chaotic particle swarm optimization algorithm to pattern synthesis of antenna arrays," Progress In Electromagnetics Research, Vol. 115, 173-189, 2011.
doi:10.2528/PIER11012305        Google Scholar

26. Kaur, A. and S. Goyal, "Reduction of side lobe level in linear antenna array using PSOGSA algorithm," International Journal of Enhanced Research in Science Technology & Engineering, Vol. 2, No. 9, 19-23, 2013.        Google Scholar

27. Li, W.-T., X.-W. Shi, and Y.-Q. Hei, "An improved particle swarm optimization algorithm for pattern synthesis of phased arrays," Progress In Electromagnetics Research, Vol. 82, 319-332, 2008.
doi:10.2528/PIER08030904        Google Scholar

28. Singh, U., D. Singh, and C. Kaur, "Thining of planar circular array antennas using firefly algorithm," Proceeding of 2014 RAECS UIET Panjab University Chandigarh, March 2014.        Google Scholar

29. Bayraktar, Z., M. Komurcu, J. A. Bossard, and D. H. Werner, "The wind driven optimization technique and its application in electromagnetics," IEEE Transactions on Antennas and Propagation, Vol. 61, No. 5, May 2013.
doi:10.1109/TAP.2013.2238654        Google Scholar

30. Li, X. and M. Yin, "Optimal synthesis of linear antenna array with composite differential evolution algorithm," Science Iranica, Vol. 19, No. 6, 1780-1787, Sharif University of Technology, December 2012.
doi:10.1016/j.scient.2012.03.010        Google Scholar

31. Shpak, D. J., "A method for the optimal pattern synthesis of linear arrays with prescribed nulls," IEEE Transaction on Antennas and Propagation, Vol. 44, 286-294, 1996.
doi:10.1109/8.486295        Google Scholar

32. Lozano, M. V., J. A. Rodriguez, and F. Ares, "Recalculating linear array antennas to compensate for failed elements while maintaining fixed nulls," Journal of Electromagnetics Wave and Applications, Vol. 13, No. 3, 397-412, 1999.
doi:10.1163/156939399X00998        Google Scholar

33. Vescovo, R., "Null synthesis by phase control for antenna arrays," Electronics Letters, Vol. 36, 198-199, 2000.
doi:10.1049/el:20000255        Google Scholar

34. Chung, Y. C. and R. L. Haupt, "Amplitude and phase adaptive nulling with a genetic algorithm," Journal of Electromagnetic Waves and Applications, Vol. 14, No. 5, 631-649, 2000.
doi:10.1163/156939300X01337        Google Scholar

35. Rashedi, E., H. Nezamabadi-Pour, and S. Saryazdi, "GSA: A gravitational search algorithm," Information Sciences, Vol. 179, No. 13, 232-2248, June 13, 2009.        Google Scholar

36. Guney, K. and A. Akdagli, "Null steering of linear antenna arrays using a modified Tabu Search Algorithm," Progress In Electromagnetics Research, Vol. 33, 167-182, 2001.
doi:10.2528/PIER00121402        Google Scholar

37. Rajo-Iglesias, E. and O. Quevedo-Teruel, "Linear array synthesis using an ant-colony-optimizationbased algorithm," IEEE Antennas and Propagation Magazine, Vol. 49, No. 2, 70-79, April 2007.
doi:10.1109/MAP.2007.376644        Google Scholar

38. Zhang, L., Y. C. Jiao, B. Chen, and F. S. Zhang, "Synthesis of linear aperiodic arrays using a self-adaptive hybrid differential evolution algorithm," Microwave and Antennas Propag., Vol. 5, 1524-1528, 2011.
doi:10.1049/iet-map.2010.0429        Google Scholar

39. Al-Azza, A. A., A. A. Al-John, and F. J. Harackiewiez, "Spider monkey optimization: A novel technique for antenna optimization," IEEE Antennas and Wireless Propagation Letters, Vol. 15, 1016-1019, 2016.
doi:10.1109/LAWP.2015.2490103        Google Scholar

40. Khodier, M., "Optimization of antenna arrays using the cuckoo search algorithm," IET Microwaves, Antennas and Propagation, Vol. 7, No. 6, 458-464, 2013.
doi:10.1049/iet-map.2012.0692        Google Scholar

41. Liu, D., Q. Feng, W.-B. Wang, and X. Yu, "Synthesis of unequally spaced antenna arrays by using inheritance learning particle swarm optimization," Progress In Electromagnetics Research, Vol. 118, 205-221, 2011.
doi:10.2528/PIER11050502        Google Scholar

42. Goudos, S. K., V. Moysiadou, T. Samaras, K. Siakavara, and J. N. Sahalos, "Application of a comprehensive learning particle swarm optimizer to unequally spaced linear array synthesis with sidelobe level suppression and null control," IEEE Antennas and Wireless Propagation Letters, Vol. 9, 125-129, 2010.
doi:10.1109/LAWP.2010.2044552        Google Scholar