Genetic algorithm applications for phased arrays

Applied Computational Electromagnetics Society Journal

Volumn 21, Issue 3, 2006, Pages 325-336

  Haupt, Randy L ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Arrays; Genetic algorithms; Optimization; Phased arrays

Indexed keywords

COST FUNCTIONS; OPTIMIZATION ALGORITHMS;

COMPUTATION THEORY; GENETIC ALGORITHMS; NUMERICAL METHODS; OPTIMIZATION;

ANTENNA PHASED ARRAYS;

EID: 33845330627     PISSN: 10544887     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (167)

1. R. L. Haupt, J. J. Menozzi, and C. J. McCormack, "Thinned arrays using genetic algorithms," IEEE AP-S Int'l Symp., pp. 712-715, Jun 1993.
2. R. L. Haupt, "Thinned arrays using genetic algorithms," IEEE AP-S Trans., vol. 42, pp. 993-999, Jul. 1994.
3. A. Tennant, M. M. Dawoud, and A. P. Anderson, "Array pattern nulling by element position perturbations using a genetic algorithm," Electronics Letters, vol. 30, pp. 174-176, 3 Feb. 1994.
4. M. Shimizu, "Determining the excitation coefficients of an array using genetic algorithms," IEEE AP-S Int'l Symp., pp. 530-533, Jun. 1994.
5. D. J. O'Neill, "Element placement in thinned arrays using genetic algorithms," OCEANS 94, pp. 301-306, Sep. 1994.
6. R. L. Haupt, "An introduction to genetic algorithms for electromagnetics," IEEE AP-S Mag. vol. 37, pp. 7-15, Apr. 1995.
7. R. Haupt, "Optimization of subarray amplitude tapers," IEEE AP-S Int'l Symp., pp. 1830-1833, Jun. 1995.
8. R. L. Haupt, "Optimum quantised low sidelobe phase tapers for arrays," Electronics Letters, vol. 31, pp. 1117-1118, 6 Jul. 1995.
9. D. Marcano, F. Duran, and O. Chang, "Synthesis of multiple beam linear antenna arrays using genetic algorithms," IEEE AP-S Int'l Symp., pp. 328-332, Jul. 1995.
10. B. Chambers, A. P. Anderson, and R. J. Mitchell, "Application of genetic algorithms to the optimization of adaptive antenna arrays and radar absorbers," First Int'l Conf. Genetic Algorithms in Engineering Systems: Innovations and Applications, pp. 94-99, Sep. 1995.
11. D. Marcano, M. Jimenez, F. Duran, and O. Chang, "Synthesis of antenna arrays using genetic algorithms," IEEE Int'l Caracus Conf. on Devices, Circuits, and Systems, pp. 328-332, Dec 1995.
12. F. Ares, et.al., "Application of genetic algorithms and simulated annealing technique in optimising the aperture distributions of antenna array patterns," Electronics Letters, vol. 32, pp. 148-149, 1 Feb. 1996.
13. R. L. Haupt, "Genetic algorithm design of antenna arrays," IEEE Aerospace Applications Conf., pp. 103-109, Feb. 1996.
14. D. Marcano, M. Jiminez, and O. Chang, "Synthesis of linear array using Schelkunoffs method and genetic algorithms," IEEE AP-S Int'l Symp., pp. 814-817, Jul. 1996.
15. F. Ares, et.al., "Application of genetic algorithms and simulated annealing technique in optimizing the aperture distributions of antenna arrays," IEEE AP-S Int'l Symp., pp. 806-809, Jul. 1996.
16. M. J. Buckley, "Linear array synthesis using a hybrid genetic algorithm," IEEE AP-S Int'l Symp., pp. 584-587, Jul. 1996.
17. D. S. Weile and E. Michielssen, "Integer coded Pareto genetic algorithm design of constrained antenna arrays," Electronics Letters, vol. 32, pp. 1744-1745, 12 Sep. 1996.
18. R. J. Mitchell, B. Chambers, and A. P. Anderson, "Array pattern synthesis in the complex plane optimised by a genetic algorithm," Electronics Letters, vol. 32, pp. 1843-1845, 26 Sep. 1996.
19. rd Int'l Conf. High Performance Computing, pp. 4-9, Dec. 1996.
20. R. L. Haupt and S. E. Haupt, "Phase-only adaptive nulling with a genetic algorithm," IEEE Aerospace Applications Conf., pp. 151-160, Feb. 1997.
21. th Int'l Conf. Antennas and Propagation, pp. 330-333, Apr. 1997.
22. R. L. Haupt, "Phase-only adaptive nulling with a genetic algorithm," IEEE AP-S Trans., vol. 45, pp. 1009-1015, Jun. 1997.
23. W. P. Liao and F. L. Chu, "Array pattern nulling by phase and position perturbations with the use of the genetic algorithm," Microwave and Optical Technology Letters, vol. 15, pp. 251-256, Jul. 1997.
24. Y. Keen-Keong and L. Yilong, "Sidelobe reduction in array-pattern synthesis using genetic algorithm," IEEE AP-S Trans., vol. 45, pp. 1117-1122, Jul. 1997.
25. D. Marcano, "Synthesis of linear and planar antenna arrays using genetic algorithms," IEEE AP-S Int'l Symp., pp. 1688-1691, Jul. 1997.
26. F. Ares, et.al., "Application of genetic algorithms in the design and optimization of array patterns," IEEE AP-S Int'l Symp., pp. 1684-1687, Jul. 1997.
27. D. Marcano, L. Gomez, and O. Sosa, "Planar array antenna synthesis using genetic algorithms with a penalty function," IEEE Int'l Microwave and Optoelectronics Conf., pp. 285-290, Aug. 1997.
28. J. M. Johnson and Y. Rahmat-Samii, "Genetic algorithms in engineering electromagnetics," IEEE AP-S Mag. vol. 39, pp. 7-21, Aug. 1997.
29. N. V. S. N. Sarma and R. Chandrasekharam, "Shaped beam radiation pattern synthesis using genetic algorithm," Int'l Conf. Electromagnetic Interference and Compatibility, pp.171-174, Dec. 1997.
30. K. Markus and L. Vaskelainen, "Optimisation of synthesised array excitations using array polynome complex root swapping and genetic algorithms," IEE Proceedings Microwaves, Antennas and Propagation, vol. 145, pp. 460-464, Dec. 1998.
31. th Int'l Conf. Microwaves and Radar, pp. 340-344, May 1998.
32. G. P. Junker, S. S. Kuo, and C. H. Chen, "Genetic algorithm optimization of antenna arrays with variable interelement spacings," IEEE AP-S Int'l Symp., pp. 50-53, Jun. 1998.
33. C. W. Brann and K. L. Virga, "Generation of optimal distribution sets for single-ring cylindrical arc arrays," IEEE AP-S Int'l Symp., pp. 732-735, Jun. 1998.
34. R. L. Haupt and H. L. Southall, "Experimental adaptive nulling with a genetic algorithm," Microwave Journal, vol. 42, no. 1, pp. 78-89, Jan. 1999.
35. R. L. Haupt and H. Southall, "Experimental adaptive cylindrical array," IEEE Aerospace Applications Conf., pp. 291-296, Mar. 1999.
36. J. M. Johnson, "Genetic algorithm design of a switchable shaped beam linear array with phaseonly control," IEEE Aerospace Applications Conf., pp. 297-303, Mar. 1999.
37. F. J. Ares-Pena, J. A. Rodriguez-Gonzalez, E. Villanueva-Lopez, and S. R. Rengarajan, "Genetic algorithms in the design and optimization of antenna array patterns," IEEE AP-S Trans., vol. 47, pp. 506-510, Mar. 1999.
38. Y. Beng-Kiong and L. Yilong, "Array failure correction with a genetic algorithm," IEEE AP-S Trans., vol. 47, pp. 823-828, May 1999.
39. R. L. Haupt and J. M. Johnson, "Dynamic phase-only array beam control using a genetic algorithm," First NASA/DoD Workshop on Evolvable Hardware, pp. 217-224, Jul. 1999.
40. Y. C. Chung and R. L. Haupt, "Optimum amplitude and phase control for an adaptive linear array using a genetic algorithm," IEEE AP-S Int'l Symp., pp. 1424-1427, Jul. 1999.
41. K. F. Sabet, et. al., "Efficient printed antenna array synthesis including coupling effects using evolutionary genetic algorithms," IEEE AP-S Int'l Symp., pp. 2084-2087, Jul. 1999.
42. C. You Chung and R. L. Haupt, "Adaptive nulling with spherical arrays using a genetic algorithm," IEEE AP-S Int'l Symp., pp. 2000-2003, Jul. 1999.
43. B. P. Kumar and G. R. Branner, "Design of low sidelobe circular ring arrays by element radius optimization," IEEE AP-S Int'l Symp., pp. 2032-2035, Jul. 1999.
44. A. Udina, N. M. Martin, and L. C. Jain, "Linear antenna array optimisation by genetic means," Third Int'l Conf. Knowledge-Based Intelligent Information Engineering Systems, pp. 505-508, Aug. 1999.
45. Y. H. Lee, A. C. Marvin, and S. J. Porter, "Genetic algorithm using real parameters for array antenna design optimisation," High Frequency Postgraduate Student Colloquium, pp. 8-13, Sep. 1999.
46. T. Fukusako, et.al., "Microstrip adaptive array antenna using semiconductor plasma and genetic algorithm," Asia Pacific Microwave Conf., pp. 76-79, Dec. 1999.
47. L. Landesa, F. Obelleiro, and J. L. Rodríguez, "Practical improvement of array antennas in the presence of environmental objects using genetic algorithms," Microwave and Optical Technology Letters, vol. 23, pp. 324-326, 5 Dec. 1999.
48. J. A. Rodriguez, et.al., "Genetic algorithm procedure for linear array failure correction," Electronics Letters, vol. 36, pp. 196-198, 3 Feb. 2000.
49. K. N. Sherman, "Phased array shaped multibeam optimization for LEO satellite communications using a genetic algorithm," IEEE Int'l Conf. Phased Array Systems and Technology, pp. 501-504, May 2000.
50. Y. Lu and B.K. Yeo, "Adaptive wide null steering for digital beamforming array with the complex coded genetic algorithm," IEEE International Conference Phased Array Systems and Technology, pp. 557-560, May 2000.
51. H. Cheng-Nan, et.al., "Design of the cross-dipole antenna with near-hemispherical coverage in finite-element phased array by using genetic algorithms," IEEE International Conference Phased Array Systems and Technology, pp. 303-306, May 2000.
52. E. A. Jones and W. T. Joines, "Genetic design of linear antenna arrays," IEEE AP-S Mag., vol. 42, pp. 92-100, Jun. 2000.
53. D. Marcano and F. Duran, "Synthesis of antenna arrays using genetic algorithms," IEEE AP-S Mag., vol. 42, pp. 12-20, Jun. 2000.
54. A. Armogida, et.al., "Synthesis of point-to-multipoint patch antenna arrays by using genetic algorithms," IEEE AP-S Int'l Symp., pp. 1038-1041, Jul. 2000.
55. C. You Chung and R. L. Haupt, "GAs using varied and fixed binary chromosome lengths and real chromosomes for low sidelobe spherical-circular array pattern synthesis," IEEE AP-S Int'l Symp., pp. 1030-1033, Jul. 2000.
56. R. Shavit and S. Levy, "Improved Orchard-Elliott pattern synthesis algorithm by pseudoinverse technique and genetic algorithm," IEEE AP-S Int'l Symp., pp. 1042-1045, Jul. 2000.
57. Y. Kimura and K. Hirasawa, "A CMA adaptive array with digital phase shifters by a genetic algorithm and a steepest descent method," IEEE AP-S Int'l Symp., pp. 914-917, Jul. 2000.
58. R. L. Haupt, "Optimum population size and mutation rate for a simple real genetic algorithm that optimizes array factors," IEEE AP-S Int'l Symp., pp. 1034-1037, Jul. 2000.
59. B. J. Barbisch D. H. Werner, and P. L. Werner "A genetic algorithm optimization procedure for the design of uniformly excited and nonuniformly spaced broadband low sidelobe arrays," Applied Computational Electromagnetics Society Journal, vol. 15, no. 2, pp. 34-42, Jul. 2000.
60. N. N. Jackson and P. S. Excell, "Genetic-algorithm optimization of an array for near-field plane wave generation," Applied Computational Electromagnetics Society Journal, vol. 15, no. 2, pp. 61-74, Jul. 2000.
61. R. L. Haupt and S. E. Haupt, "Optimum population size and mutation rate for a simple real genetic algorithm that optimizes array factors," Applied Computational Electromagnetics Society Journal, vol. 15, no. 2, pp. 94-102, Jul. 2000.
62. D. F. Li and Z. L. Gong, "Design of hexagonal planar arrays using genetic algorithms for performance improvement," 2nd International Conference Microwave and Millimeter Wave Technology, pp. 455-460, Sep. 2000.
63. K. C. Lee, "Optimization of a finite dipole array with genetic algorithm including mutual coupling effects," International Journal of RF and Microwave Computer-Aided Engineering, vol. 10, no. 6, pp. 379-382, Nov. 2000.
64. A. Petosa and S. Thirakoune, "Linear array of dielectric resonator antennas optimized using a genetic algorithm for low-sidelobe applications," Asia-Pacific Microwave Conf., pp. 21-24, Dec. 2000.
65. A. Miura and M. Tanaks, "A study of array pattern tuning method using hybrid genetic algorithms for figure-8 satellites's earth station antenna," Asia-Pacific Microwave Conf., pp. 325-329, Dec. 2000.
66. Y. Yashchyshyn and M. Piasecki, "Improved model of smart antenna controlled by genetic algorithm," 6th Int'l Conf. CAD Systems in Microelectronics, pp. 147-150, Feb. 2001.
67. th National Radio Science Conf., pp. 113-121, Mar. 2001.
68. th National Radio Science Conf., pp. 123-130, Mar. 2001.
69. P. Karamalis, et.al., "Direction of arrival estimation using genetic algorithms," Vehicular Technology Conference, pp. 162-166, May 2001.
70. C. Chien-Hung and C. Chien-Ching, "Novel radiation pattern by genetic algorithms," Vehicular Technology Conference, pp. 8-12, May 2000.
71. D. W. Boeringer, D. W. Machuga, and D. H. Werner, "Synthesis of phased array amplitude weights for stationary sidelobe envelopes using genetic algorithms," IEEE AP-S Int'l Symp., pp. 684-687, Jul. 2001.
72. M. G. Bray, et.al., "Thinned aperiodic linear phased array optimization for reduced grating lobes during scanning with input impedance bounds," IEEE AP-S Int'l Symp., pp. 688-691, Jul. 2001.
73. A. Miura and M. Tanaka, "An apply of hybrid GA for array pattern control of quasi-zenithal satellite's Earth station antenna," IEEE AP-S Int'l Symp., pp. 230-233, Jul. 2001.
74. V. R. Mognon, W. A. Artuzi, Jr., and J. R. Descardeci, "Tilt angle and sidelobe level control of array antennas by using genetic algorithm," SBMO/IEEE MTT-S Int'l Microwave and Optoelectronics Conf., pp. 299-301, Aug. 2001.
75. D. S. Weile and E. Michielssen, "The control of adaptive antenna arrays with genetic algorithms using dominance and diploidy," Antennas and Propagation, IEEE Transactions on, vol. 49, pp. 1424-1433, Oct. 2001.
76. P. Lopez, et.al., "Subarray weighting for the difference patterns of monopulse antennas: joint optimization of subarray configurations and weights," IEEE AP-S Trans., vol. 49, pp. 1606-1608, Nov. 2001.
77. D. Ansell and E. J. Hughes, "Use of multiobjective genetic algorithms to optimise the excitation and subarray division of multifunction radar antennas," IEE Multifunction Radar and Sonar Sensor Management Techniques (Ref. No. 2001/173), pp. 8/1-8/4, Nov. 2001.
78. P. Lopez, et.al., "Low-sidelobe patterns from linear and planar arrays with uniform excitations except for phases of a small number of elements," Electronics Letters, vol. 37, pp. 1495-1497, 6 Dec. 2001.
79. A. Lommi, et.al., "Sidelobe reduction in sparse linear arrays by genetic algorithms," Microwave and Optical Technology Letters, vol. 32, no. 3, pp. 194-196, 5 Feb. 2002.
80. S. Misra, et.al. "Design and optimization of a nonplanar multidipole array using genetic algorithms for mobile communications," Microwave and Optical Technology Letters, vol. 32, no. 4, pp. 301-304, 20 Feb. 2002.
81. Y. C. Chung and R.L. Haupt, "Low-sidelobe pattern synthesis of spherical arrays using a genetic algorithm," Microwave and Optical Technology Letters, vol. 32, pp. 412-414, 2002, 20 Mar. 2002.
82. M. G. Bray, et.al., "Matching network design using genetic algorithms for impedance constrained thinned arrays," IEEE AP-S Int'l Symp., pp. 528-531, Jun. 2002.
83. S. Mummareddy, D. H. Werner, and P. L. Werner, "Genetic optimization of fractal dipole antenna arrays for compact size and improved impedance performance over scan angle," IEEE AP-S Int'l Symp., pp. 98-101, Jun. 2002.
84. A. A. Varahram and J. Rashed-Mohassel, "Sidelobe level optimization using modified genetic algorithm," IEEE AP-S Int'l Symp., pp. 742-745, Jun. 2002.
85. T. Dong, Y.-y. Li, and X.-w. Xu, "Genetic algorithm in the synthesis of low sidelobe antenna array," 3rd International Conference on Microwave and Millimeter Wave Technology, pp. 751-754, Aug. 2002.
86. th Vehicular Technology Conference, pp. 601-605, Sep. 2002.
87. T. Dong, Y.-y. Li, and X.-w. Xu, "Genetic algorithm in the synthesis of low sidelobe antenna array," 5th International Symposium Wireless Personal Multimedia Communications, pp. 757-761, Oct. 2002.
88. W. Yan and L. Yilong, "The combination of neural networks and genetic algorithm for fast and flexible wide ing in digital beamforming," 9th International Conf. Neural Information Processing, pp. 782-786, Nov. 2002.
89. M. G. Bray, et.al., "Optimization of thinned aperiodic linear phased arrays using genetic algorithms to reduce grating lobes during scanning," IEEE AP-S Trans., vol. 50, pp. 1732-1742, Dec. 2002.
90. D. W. Boeringer and D. H. Werner, "Adaptive mutation parameter toggling genetic algorithm for phase-only array synthesis," Electronics Letters, vol. 38, pp. 1618-1619, 5 Dec. 2002.
91. S. Caorsi, et.al., "Planar antenna array design with a multi-purpose GA-based procedure," Microwave and Optical Technology Letters, vol. 35, no. 6, pp. 428-430, 20 Dec. 2002.
92. D.G. Kurup, M. Himdi, and A. Rydberg, "Design of an unequally spaced reflectarray," Antennas and Wireless Propagation Letters, vol. 2, pp. 33-35, 2003.
93. R. Haupt, "Generating a plane wave with a linear array of line sources," IEEE AP-S Trans., vol. 51, pp. 273-278, Feb. 2003.
94. K. C. Lee, "Genetic algorithms based analyses of nonlinearly loaded antenna arrays including mutual coupling effects," IEEE AP-S Trans., vol. 51, pp. 776-781, Apr. 2003.
95. R. J. Allard, D. H. Werner, and P. L. Werner, "Radiation pattern synthesis for arrays of conformai antennas mounted on arbitrarily-shaped three-dimensional platforms using genetic algorithms," IEEE AP-S Trans., vol. 51, pp. 1054-1062, May 2003.
96. C. Salvatore, et.al., "A real-time approach to array control based on a learned genetic algorithm," Microwave and Optical Technology Letters, vol. 36, pp. 235-238, 20 Feb. 2003.
97. th National Radio Science Conference, pp. B7-1-8, Mar. 2003.
98. th Int'l Conf. Antennas and Propagation, pp. 151-155, Mar. 2003.
99. H. M. Elkamchouchi and M. M. Wagih, "Genetic algorithm operators effect in optimizing the antenna array pattern synthesis," Twentieth National Radio Science Conference, pp. B12-1-7, Mar. 2003.
100. L. L. Wang, D. G. Fang, and W. X. Sheng, "Combination of genetic algorithm (GA) and fast fourier transform (FFT) for synthesis of arrays," Microwave and Optical Technology Letters, vol. 37, pp. 56-59, 5 Apr. 2003.
101. th European Personal Mobile Communications Conf., pp. 60-64, Apr. 2003.
102. T. Huang and A.S. Mohan, "Effects of array mutual coupling on near-field DOA estimation," IEEE Canadian Conference Electrical and Computer Engineering, pp. 1881-1884, May 2003.
103. R. Haupt, "Synthesis of a plane wave in the near field with a planar phased array," IEEE AP-S Int'l Symp., pp. 792-795, Jun. 2003.
104. T. Koleck, "Active antenna coverage synthesis for GEO satellite using genetic algorithm," IEEE AP-S Int'l Symp., pp. 142-144, Jun. 2003.
105. C. H. Hsu, et.al., "Optimizing broadside array antenna with adaptive interference cancellation using amplitude-position perturbations in a linear array," IEEE AP-S Int'l Symp., pp. 69-72, Jun. 2003.
106. A. T. Bu, et.al., "Design of the sector array antenna based on genetic algorithm for smart antenna system front end," IEEE AP-S Int'l Symp., pp. 686-689, Jun. 2003.
107. D. W. Boeringer and D. H. Werner, "A comparison of particle swarm optimization and genetic algorithms for a phased array synthesis problem," IEEE AP-S Int'l Symp., pp. 181-184, Jun. 2003.
108. D. W. Boeringer and D. H. Werner, "Genetic algorithms with adaptive parameters for phased array synthesis," IEEE AP-S Int'l Symp., pp. 169-172, Jun. 2003.
109. Y.H. Liu, et.al., "Modeling antenna array elements and bandwidth enhanced by genetic algorithm," IEEE AP-S Int'l Symp., pp. 884-887, Jun. 2003.
110. M. Wang, et.al., "The synthesis and optimization of arbitrarily distributed array with circular sparse array," IEEE AP-S Int'l Symp., pp. 812-815, Jun. 2003.
111. S. Xiao, et.al., "Reconfigurable microstrip antenna design based on genetic algorithm," IEEE AP-S Int'l Symp., pp. 407-410, Jun. 2003.
112. C. H. Hsu, J. S. Row, and K. H. Kuo, "Downlink optimal radiation pattern design of smart antennas by phase-amplitude perturbations in a linear array," IEEE AP-S Int'l Symp., pp. 80-83, Jun. 2003.
113. R. Haupt, "Generating a plane wave in the near field with a planar array antenna," Microwave Journal, Aug. 2003.
114. F. H. Wen-Chia Lue, "Use of B-spline curves and genetic algorithms to reduce the sidelobe level in array-patterns," Microwave and Optical Technology Letters, vol. 38, pp. 308-311, 20 Aug. 2003.
115. W. Ling-Ling and F. Da-Gang, "Combination of genetic algorithm and fast Fourier transform for array failure correction," 6th Int'l Symp. Antennas, Propagation and EM Theory, pp. 234-237, Oct. 2003.
116. A. Taskin and C. S. Gurel, "Antenna array pattern optimisation in the case of array element failure," 33rd European Microwave Conference, pp. 1083-1085, Oct. 2003.
117. W. Qi and G. Zhong Lin, "On the performance of genetic algorithm based adaptive beamforming," 6th Int'l Symp. Antennas, Propagation and EM Theory, pp. 339-343, Oct. 2003.
118. G. Golino, "A genetic algorithm for optimizing the segmentation in subarrays of planar array antenna radars with adaptive digital beamforming," IEEE Int'l Symp. Phased Array Systems and Technology, pp. 211-216, 2003.
119. R. G. Hohlfeld and N. Cohen, "Genetic optimization of sparse, frequency invariant arrays using the HCR principle," IEEE Int'l Symp. Phased Array Systems and Technology, pp. 588-593, Oct. 2003.
120. W. Ling-Ling and F. Da-Gang, "Synthesis of nonuniformly spaced arrays using genetic algorithm," Asia-Pacific Conf. Environmental Electromagnetics, pp. 302-305, Nov. 2003.
121. D. W. Boeringer and D. H. Werner, "Particle swarm optimization versus genetic algorithms for phased array synthesis," IEEE AP-S Trans., vol. 52, pp. 771-779, Mar. 2004.
122. S. Caorsi, et.al., "Peak sidelobe level reduction with a hybrid approach based on GAs and difference sets," IEEE AP-S Trans., vol. 52, pp. 1116-1121, Apr. 2004.
123. S. H. Son, et.al., "Mobile phased array antenna design with low sidelobe pattern by genetic algorithm," IEEE AP-S Int'l Symp., pp. 4112-4115, Jun. 2004.
124. S. E. El-Khamy, "Fractal multiband antennas using GA/MOM optimized log periodic dipole arrays," IEEE AP-S Int'l Symp., pp. 3433-3436, Jun. 2004.
125. A. Erentok and K. L. Melde, "Comparison of MATLAB and GA optimization for three-dimensional pattern synthesis of circular arc arrays," IEEE AP-S Int'l Symp., pp. 2683-2686, Jun 2004.
126. D. A. Tonn and R. Bansal, "Sidelobe minimization in interrrupted phased arrays by mean of a genetic algorithm," IEEE AP-S Int'l Symp., pp. 531-534, Jun. 2004.
127. C. Sacchi, et.al., "Adaptive antenna array control in the presence of interfering signals with stochastic arrivals: assessment of a GA-based procedure," IEEE Trans. Wireless Communications, vol. 3, pp. 1031-1036, Jul. 2004.
128. F. Soltankarimi, J. Nourinia, and C. Ghobadi, "Side lobe level optimization in phased array antennas using genetic algorithm," IEEE Eighth Int'l Symp. Spread Spectrum Techniques and Applications, pp. 389-394, Aug. 2004.
129. F. Yu, et.al., "Pattern synthesis of linear arrays using a hybrid optimization algorithm," 7th International Conf Signal Processing, pp. 428-430, Aug. 2004.
130. A. Massa, et.al., "Planar antenna array control with genetic algorithms and adaptive array theory," IEEE AP-S Trans., vol. 52, pp. 2919-2924, Nov. 2004.
131. M. Donelli, et.al., "A versatile enhanced genetic algorithm for planar array design," Journal of Electromagnetic Waves and Applications, vol. 18, no. 11, pp. 1533-1548, 2004.
132. D. W. Boeringer, D. H. Werner, and D. W. Machuga, "A simultaneous parameter adaptation scheme for genetic algorithms with application to phased array synthesis," IEEE AP-S Trans., vol. 53, pp. 356-371, Jan. 2005.
133. S. H. Zainud-Deen, et.al., "Synthesis of linear arrays with shaped pattern using genetic algorithm and an orthogonal method," Twenty-Second National Radio Science Conference, pp. 89-96, Mar. 2005.
134. S.,H. Zainud-Deen, et.al., "Adaptive arrays of smart antennas using genetic algorithm," Twenty-Second National Radio Science Conference, pp. 145-154, Mar. 2005.
135. J. N. Bogard and D. H. Werner, "Optimization of peano-gosper fractile arrays using genetic algorithms to reduce grating lobes during scanning," IEEE Int'l Radar Conf., pp. 905-909, May 2005.
136. S. Tao and H. Ling, "Array beamforming in the presence of a mounting tower using genetic algorithms," IEEE AP-S Trans., vol. 53, pp. 2011-2019, Jun. 2005.
137. Y.B. Tian and J. Qian, "Improve the performance of a linear array by changing the spaces among array elements in terms of genetic algorithm," IEEE AP-S Trans., vol. 53, pp. 2226- 2230, Jul. 2005.
138. S. Yang, et.al., "Design of a uniform amplitude time modulated linear array with optimized time sequences," IEEE AP-S Trans., vol. 53, pp. 2337-2339, Jul. 2005.
139. R. L. Haupt, "Interleaved Thinned Linear Arrays," IEEE AP-S Trans., vol. 53, pp. 2858-2864, Sep. 2005.
140. J. S. Stone, US Patents 1,643,323 and 1,715,433.
141. C. L. Dolph, "A current distribution for broadside arrays which optimizes the relationship between bream width and side-lobe level," Jun. 1946.
142. T. T. Taylor, "Design of line source antennas for narrow beamwidth and low side lobes," IRE AP Trans., AP-7, pp. 16-28, 1955.
143. E. T. Bayliss, "Design of monopulse antenna difference patterns with low sidelobes," The Bell System Tech. J., vol. 47, pp.623-650, May-Jun. 1968.
144. R. S. Elliott, Antenna Theory and Design, New York: Prentice-Hall, 1981.
145. J. A. Nelder and R. Mead, Computer Journal, vol. 7, pp. 308-313, 1965.
146. W. H. Press, et. al., Numerical Recipes in FORTRAN, New York: Cambridge University Press, 1992.
147. D. G. Luenberger, Linear and Nonlinear Programming, Reading, MA: Addison-Wesley, 1984.
148. M. I. Skolnik, G. Nemhauser, and J. W. Sherman, III "Dynamic programming applied to unequally spaced arrays," IEEE AP-S Trans., vol. 12, pp. 35-43, Jan. 1964.
149. N. Balakrishnan, P. K. Murthy, and S. Ramakrishna, "Synthesis of antenna arrays with spatial and excitation constraints," IEEE AP-S Trans., vol. 27, no. 5, pp. 690-696, Sep. 1979.
150. J. Perini, "Note on antenna pattern synthesis using numerical iterative methods," IEEE AP-S Trans., vol. 12, pp. 791-792, Jul. 1976.
151. C. S. Ruf, "Numerical annealing of low-redundancy linear arrays," IEEE AP-S Trans., vol. 41, no.1, Jan. 1993.
152. W. L. Stutzman, and E. L. Coffey, "Radiation pattern synthesis of planar antennas using the iterative sampling method," IEEE AP-S Trans., vol. AP-23, no. 6, pp.764-769, Nov. 1975.
153. H. J. Orchard, R. S. Elliot, and G. J. Stern, "Optimizing the synthesis of shaped beam antenna patterns," IEE Proceedings, vol. 132, no.1, pp. 63-68, Feb. 1985.
154. R. S. Elliot and G. J. Stearn, "Shaped patterns from a continuous planar aperture distribution," IEEE Proceedings, vol. 135, no. 6, pp. 366-370, Dec. 1988.
155. J. E. Richie and H. N. Kritikos, "Linear program synthesis for direct broadcast satellite phased arrays," IEEE AP-S Trans., vol. 36, no. 3, pp. 345-348, Mar. 1988.
156. F. Ares, R. S. Elliott, and E. Moreno, "Design of planar arrays to obtain efficient footprint patterns with an arbitrary footprint boundary," IEEE AP-S Trans., vol. 42, no. 11, pp. 1509-1514, Nov. 1994.
157. O. Einarsson, "Optimization of planar arrays," IEEE AP-S Trans., vol. AP-27, no.1, pp.86-92, Jan. 1979.
158. T. S. Ng, J. Yoo Chong Cheah, and F. J. Paoloni, "Optimization with controlled null placement in antenna array pattern synthesis," IEEE AP-S Trans., vol. 33, no. 2, pp. 215-217, Feb. 1985.
159. D. K. Cheng, "Optimization techniques for antenna arrays," Proc. of IEEE, vol. 59, no. 12, pp. 1664-1674, Dec. 1971.
160. J. F. DeFord and O. P. Gandhi, "Phase-only synthesis of minimum peak sidelobe patterns for linear and planar arrays," IEEE AP-S Trans., vol. 36, no.2, pp. 191-201, Feb. 1988.
161. R. L. Haupt, "Thinned arrays using genetic algorithms," IEEE AP-S Trans, vol. 42, no. 7, pp 993-999, July 1994.
162. S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, "Optimization by Simulated Annealing," Science, vol. 220, no. 4598, pp. 671-680, 13 May 1983.
163. N. Metropolis, A. Rosenbluth, and M. Rosenbluth, J. Chemical Physics, vol. 21, pp. 1087-1092, 1953.
164. J. H. Holland, Adaptation in Natural and Artificial Systems, Ann Arbor: The University of Michigan Press, 1975.
165. D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning, New York: Addison-Wesley, 1989.
166. nd edition, New York: John Wiley & Sons, 2004.
167. Y. Rahmat-Samii and E. Michielssen, eds., Electromagnetic Optimization by Genetic Algorithms, New York: John Wiley & Sons, 1999.