Vol. 137
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2013-02-23
Modified Differential Evolution Algorithm for Pattern Synthesis of Antenna Arrays
By
Progress In Electromagnetics Research, Vol. 137, 371-388, 2013
Abstract
A modified differential evolution algorithm (MDE) for pattern synthesis of antenna arrays is proposed in this paper. By employing the novel strategies of best of random mutation and randomized local search, the convergence of standard differential evolution algorithm (SDE) is significantly accelerated. Five standard benchmark functions are optimized to testify the proposed algorithm by comparison with several other optimization algorithms. The numerical results verify the superior performance of the proposed MDE. Furthermore, the MDE is applied to two pattern synthesis examples, including a linear array and a cylindrical conformal array. Experiment results demonstrate that the proposed MDE has better performance than the other optimization methods in both of these two examples, which indicate the proposed algorithm is a competitive optimization algorithm in pattern synthesis.
Citation
Xin Li, Wen-Tao Li, Xiao-Wei Shi, Jing Yang, and Jian-Feng Yu, "Modified Differential Evolution Algorithm for Pattern Synthesis of Antenna Arrays," Progress In Electromagnetics Research, Vol. 137, 371-388, 2013.
doi:10.2528/PIER13011207
References

1. Sarkar, T. K. and N. Sangruji, "An adaptive nulling system for a narrow-band signal with a look-direction constraint utilizing the conjugate gradient method," IEEE Trans. Antennas Propagat., Vol. 37, 940-944, 1989.
doi:10.1109/8.29389

2. Bucci, O. M., G. D'Elia, and G. Romito, "Power synthesis of conformal arrays by a generalized projection method," IEE Proc. - Microw. Antennas Propag., Vol. 142, 467-471, 1995.
doi:10.1049/ip-map:19952290

3. Mahanti, G. K., N. Pathak, and P. Mahanti, "Synthesis of thinned linear antenna arrays with fixed sidelobe level using real- coded genetic algorithm," Progress In Electromagnetics Research, Vol. 75, 319-28, 2007.
doi:10.2528/PIER07061304

4. Xu, Z., H. Li, Q. Z. Liu, and J. Y. Li, "Pattern synthesis of conformal antenna array by the hybrid genetic algorithm," Progress In Electromagnetics Research, Vol. 79, 75-90, 2008.
doi:10.2528/PIER07091901

5. Lee, K.-C., "Frequency-domain analysis of nonlinearly loaded antenna arrays using simulated annealing algorithms," Progress In Electromagnetics Research, Vol. 53, 271-281, 2005.
doi:10.2528/PIER04101501

6. Xie, P., K. S. Chen, and Z. S. He, "Synthesis of sparse cylindrical arrays using simulated annealing algorithm," Progress In Electromagnetics Research Letters, Vol. 9, 147-156, 2009.
doi:10.2528/PIERL09051303

7. Khodier, M. M. and C. G. Christodoulou, "Linear array geometry synthesis with minimum sidelobe level and null control using particle swarm optimization," IEEE Trans. Antennas Propagat., Vol. 53, 2674-2679, 2005.
doi:10.1109/TAP.2005.851762

8. 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.

9. Dib, N. I., S. K. Goudos, and H. Muhsen, "Application of Taguchi's optimization method and self-adaptive differential evolution to the synthesis of linear antenna arrays," Progress In Electromagnetics Research, Vol. 102, 159-180, 2010.
doi:10.2528/PIER09122306

10. Li, R., L. Xu, X. W. Shi, and Z. Q. Lv, "Improved differential evolution strategy for antenna array pattern synthesis problems," Progress In Electromagnetics Research, Vol. 113, 429-441, 2011.

11. Basu, B. and G. K. Mahanti, "Fire fly and artificial bees colony algorithm for synthesis of scanned and broadside linear array antenna," Progress In Electromagnetics Research B, Vol. 32, 169-190, 2011.
doi:10.2528/PIERB11053108

12. Karaboga, D. and B. Akay, "A comparative study of artificial bee colony algorithm," Applied Mathematics and Computation, Vol. 214, 108-132, 2009.
doi:10.1016/j.amc.2009.03.090

13. Storn, R. and K. Price, "Differential evolution - A simple and efficient heuristic for global optimization over continuous spaces," Journal of Global Optimization, Vol. 11, 341-359, 1997.
doi:10.1023/A:1008202821328

14. Mandal, A., H. Zafar, S. Das, and A. V. Vasilakos, "A modified differential evolution algorithm for shaped beam linear array antenna design," Progress In Electromagnetics Research, Vol. 125, 439-157, 2012.
doi:10.2528/PIER11112408

15. Chowdhury, A., A. Ghosh, R. Giri, and S. Das, "Optimization of antenna configuration with a fitness-adaptive differential evolution algorithm," Progress In Electromagnetics Research B, Vol. 26, 291-319, 2010.
doi:10.2528/PIERB10080703

16. Goudos, S. K., Z. D. Zaharis, and T. V. Yioultsis, "Application of a differential evolution algorithm with strategy adaptation to the design of multi-band microwave filters for wireless communications," Progress In Electromagnetics Research, Vol. 109, 123-137, 2010.
doi:10.2528/PIER10081704

17. Xie, L., Y. C. Jiao, and , "Design of an ultra-wideband antenna using boolean differential evolution algorithm," Progress In Electromagnetics Research Letters, Vol. 26, 135-141, 2011.
doi:10.2528/PIERL11080804

18. Liu, J. and J. Lampinen, "A fuzzy adaptive differential evolution algorithm. soft computing - A fusion of foundations," Methodologies and Applications, Vol. 9, 448-462, 2005.

19. Qing, A., "Dynamic differential evolution strategy and applications in electromagnetic inverse scattering problems," IEEE Trans. Geoscience and Remote Sensing, Vol. 44, 116-125, 2006.
doi:10.1109/TGRS.2005.859347

20. Zhang, L., Y. C. Jiao, H. Li, and F. S. Zhang, "Hybrid differential evolution and the simplified quadratic interpolation for global optimization," Proceedings of the First ACM/SIGEVO Summit on Genetic and Evolutionary Computation, 1049-1052, 2009.
doi:10.1145/1543834.1544005

21. Lin, C., A. Qing, and Q. Feng, "Synthesis of unequally spaced antenna arrays by using differential evolution," IEEE Trans. Antennas Propagat., Vol. 58, 2553-2561, 2010.
doi:10.1109/TAP.2010.2048864

22. Ishibuchi, H., T. Yoshida, and T. Murata, "Balance between genetic search and local search in memetic algorithms for multiobjective permutation flowshop scheduling," IEEE Tran. Evolutionary Computation, Vol. 7, 204-223, 2003.
doi:10.1109/TEVC.2003.810752

23. Noman, N. and H. Iba, "Accelerating differential evolution using an adaptive local search. evolutionary computation," IEEE Tran. Evolutionary Computation, Vol. 12, 107-125, 2008.
doi:10.1109/TEVC.2007.895272

24. He, Q. Q., B. Z. Wang, and W. Shao, "Radiation pattern calculation for arbitrary conformal arrays that include mutual-coupling effects," IEEE Trans. Antennas Propagt. Mag., Vol. 52, 57-63, 2010.
doi:10.1109/MAP.2010.5525566

25. Boeringer, D. W. and D. H. Werner, "Efficiency-constrained particle swarm optimization of a modified Bernstein polynomial for conformal array excitation amplitude synthesis," IEEE Trans. Antennas Propagat., Vol. 53, 2662-2673, 2005.
doi:10.1109/TAP.2005.851783