Vol. 102
Latest Volume
All Volumes
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]
2010-02-25
Application of Taguchi's Optimization Method and Self-Adaptive Differential Evolution to the Synthesis of Linear Antenna Arrays
By
Progress In Electromagnetics Research, Vol. 102, 159-180, 2010
Abstract
In this paper, the problem of designing linear antenna arrays for specific radiation properties is dealt with. The design problem is modeled as a single optimization problem. The objectives of this work are to minimize the maximum side lobe level (SLL) and perform null steering for isotropic linear antenna arrays by controlling different parameters of the array elements (position, amplitude, and phase). The optimization is performed using two techniques: Taguchi's optimization method and the self-adaptive differential evolution (SADE) technique. The advantage of Taguchi's optimization technique is the ability of solving problems with a high degree of complexity using a small number of experiments in the optimization process. Taguchi's method is easy to implement and converges to the desired goal quickly in comparison with gradient-based methods and particle swarm optimization (PSO). Results obtained using Taguchi's method are in very good agreement with those obtained using the SADE technique.
Citation
Nihad I. Dib, Sotirios K. Goudos, and Hani 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
References

1. Oliveri, G. and L. Poli, "Synthesis of monopulse sub-arrayed linear and planar array antennas with optimized sidelobes," Progress In Electromagnetics Research, Vol. 99, 109-129, 2009.
doi:10.2528/PIER09092510

2. Perez Lopez, J. R. and J. Basterrechea, "Hybrid particle swarm-based algorithms and their application to linear array synthesis," Progress In Electromagnetics Research, Vol. 90, 63-74, 2009.
doi:10.2528/PIER08122212

3. 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

4. Guney, K. and S. Basbug, "Interference suppression of linear antenna arrays by amplitude-only control using a bacterial foraging algorithm," Progress In Electromagnetics Research, Vol. 79, 475-497, 2008.
doi:10.2528/PIER07110705

5. Mahanti, G. K., A. Chakrabarty, and S. Das, "Phase-only and amplitude-phase only synthesis of dual-beam pattern linear antenna arrays using °oating-point genetic algorithms ," Progress In Electromagnetics Research, Vol. 68, 247-259, 2007.
doi:10.2528/PIER06072301

6. Rahmat-Samii, Y. and E. Michielssen, Electromagnetic Optimization by Genetic Algorithms, John Wiley and Sons, 1999.

7. Kirkpatrick, S., C. D. Gellatt, and M. P. Vecchi, "Optimization by simulated annealing," Science, Vol. 220, 671-680, 1983.
doi:10.1126/science.220.4598.671

8. Ciuprina, G., D. Ioan, and I. Munteanu, "Use of intelligent-particle swarm optimization in electromagnetics," IEEE Trans. on Magnetics, Vol. 38, 1037-1040, 2002.
doi:10.1109/20.996266

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

10. Feoktistov, V., Differential Evolution, in Search of Solutions, Springer Science, 2006.

11. Dorigo, M., M. Birattari, and T. StÄutzle, "Ant colony optimization," IEEE Comp. Intelligent Magazine, Vol. 1, 28-39, 2006.

12. Formato, R. A., "Central force optimization: A new metaheuristic with applications in applied electromagnetics ," Progress In Electromagnetics Research, Vol. 77, 425-491, 2007.
doi:10.2528/PIER07082403

13. Formato, R. A., "Central force optimization: A new nature inspired computational framework for multidimensional search and optimization ," Studies in Computational Intelligence (SCI), Vol. 129, 221-238, Springer-Verlag, Heidelberg, 2008.
doi:10.1007/978-3-540-78987-1_21

14. Storn, R. and K. Price, "Differential evolution --- A simple and efficient heuristic for global optimization over continuous spaces," Journal of Global Optimization, Vol. 11, No. 4, 341-359, Dec. 1997.
doi:10.1023/A:1008202821328

15. Kurup, D. G., M. Himdi, and A. Rydberg, "Synthesis of uniform amplitude unequally spaced antenna arrays using the differential evolution algorithm," IEEE Trans. on Antennas and Propagation, Vol. 51, No. 9, 2210-2217, 2003.
doi:10.1109/TAP.2003.816361

16. Panduro, M. A. and C. del Rio Bocio, "Design of beam-forming networks for scannable multi-beam antenna arrays using corps," Progress In Electromagnetics Research, Vol. 84, 173-188, 2008.
doi:10.2528/PIER08070403

17. Brest, J., S. Greiner, B. Boskovic, M. Mernik, and V. Zumer, "Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems," IEEE Transactions on Evolutionary Computation, Vol. 10, No. 6, 646-657, Dec. 2006.
doi:10.1109/TEVC.2006.872133

18. Goudos, S. K., "Design of microwave broadband absorbers using a self-adaptive differential evolution algorithm ," International Journal of RF and Microwave Computer-aided Engineering, Vol. 19, No. 3, 364-372, 2009.
doi:10.1002/mmce.20357

19. Taguchi, G., S. Chowdhury, and Y. Wu, Taguchi's Quality Engineering Handbook, John Wiley and Sons Inc., NJ, 2005.

20. Weng, W. C., F. Yang, and A. Elsherbini, Electromagnetics and Antenna Optimization Using Taguchi's Method, Morgan & Claypool, San Rafael, CA, 2007.

21. Weng, W., F. Yang, and A. Elsherbeni, "Linear antenna array synthesis using Taguchi's method: A novel optimization technique in electromagnetics ," IEEE Trans. on Antennas and Propagation, Vol. 55, 723-730, 2007.
doi:10.1109/TAP.2007.891548

22. Weng, W. C. and C. Choi, "Optimal design of CPW slot antennas using Taguchi's method," IEEE Trans. on Magnetics, Vol. 45, No. 3, 1542-1545, Mar. 2009.
doi:10.1109/TMAG.2009.2012737

23. Vesterstrom, J. and R. Thomsen, "A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems," Proceedings of Congress on Evolutionary Computation, 1980-1987, Portland, USA, 2004.

24. Isernia, T. and G. Panariello, "Optimal focusing of scalar fields subject to arbitrary upper bounds," Electronics Letters, Vol. 34, 162-164, 1998.
doi:10.1049/el:19980212

25. Isernia, T., P. D. Iorio, and F. Soldovieri, "An effective approach for the optimal focusing of array fields subject to arbitrary upper bounds," IEEE Trans. on Antennas and Propagation, Vol. 48, 1837-1847, 2000.
doi:10.1109/8.901272

26. Bucci, O. M., L. Caccavale, and T. Isernia, "Optimal far-field focusing of uniformly spaced arrays subject to arbitrary upper bounds in nontarget directions ," IEEE Trans. on Antennas and Propagation, Vol. 50, 1539-1554, 2002.
doi:10.1109/TAP.2002.803959

27. Isernia, T., F. J. Ares Pena, O. M. Bucci, M. D'Urso, J. F. Gomez, and J. A. Rodriguez, "A hybrid approach for the optimal synthesis of pencil beams through array antennas," IEEE Trans. on Antennas and Propagation, Vol. 52, 2912-2918, 2004.
doi:10.1109/TAP.2004.835130

28. Lanza Diego, M., J. R. Perez Lopez, and J. Basterrechea, "Synthesis of planar arrays using a modified particle swarm optimization algorithm by introducing a selection operator and elitism," Progress In Electromagnetics Research,, Vol. 93, 145-160, 2009.
doi:10.2528/PIER09041303

29. Al-Aqil, M., Synthesis of antenna arrays using the particle swarm optimization method , Master Thesis, Jordan University of Science and Technology, Jan. 2009.

30. Lee, K.-C. and J.-Y. Jhang, "Application of electromagnetism-like algorithm to phase-only synthesis of antenna arrays," Progress In Electromagnetics Research, Vol. 83, 279-291, 2008.
doi:10.2528/PIER08060402