A hybrid approach based on PSO and hadamard difference sets for the synthesis of square thinned arrays

IEEE Transactions on Antennas and Propagation

Volumn 57, Issue 8, 2009, Pages 2491-2495

  Donelli, Massimo ^a   Martini, Anna ^a   Massa, Andrea ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

Difference sets; Particle swarm optimizer (PSO); Sidelobe control; Thinned arrays

Indexed keywords

COMBINATORIAL METHOD; DIFFERENCE SETS; HADAMARD DIFFERENCE SETS; HADAMARD TYPES; HYBRID APPROACH; NUMERICAL EXPERIMENTS; PARTICLE SWARM ALGORITHM; PARTICLE SWARM OPTIMIZER (PSO); SIDELOBE CONTROL; THINNED ARRAY; THINNED ARRAYS;

ANTENNA ARRAYS;

COMBINATORIAL MATHEMATICS;

EID: 68949197427     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2009.2024570     Document Type: Article

References (21)

1. Y. T. Lo, "A mathematical theory of antenna arrays with randomly spaced elements," IEEE Trans. Antennas Propag., vol. 12, pp. 257-268, 1964.
2. Y. T. Lo and S. W. Lee, "A study of space-tapered arrays," IEEE Trans. Antennas Propag., vol. 14, pp. 22-30, 1966.
3. B. D. Steinberg, "Comparison between the peak sidelobe of the random array and algorithmically designed aperiodic arrays," IEEE Trans. Antennas Propag., vol. 21, pp. 366-370, 1973.
4. B. D. Steinberg, Principles of Aperture and Arrays System Design. New York: Wiley, 1976.
5. C. S. Ruf, "Numerical annealing of low-redundancy linear arrays," IEEE Trans. Antennas Propag., vol. 41, pp. 85-90, 1993.
6. D. J. O'Neill, "Element placement in thinned arrays using genetic algorithms," in Proc. Oceans'94, 1994, vol. 2, pp. 301-306.
7. R. L. Haupt, "Thinned arrays using genetic algorithms," IEEE Trans. Antennas Propag., vol. 42, pp. 993-999, 1994.
8. P. J. M. van Laarhoven and E. H. L. Aarts, Simulated Annealing: Theory and Applications. Dordrecht, The Netherlands: D. Reidel, 1987.
9. D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning. Reading, MA: Addison-Wesley, 1989.
10. J. Kennedy, R. C. Eberhart, and Y. Shi, Swarm Intelligence. San Francisco, CA: Morgan Kaufmann, 2001.
11. T. C. Cheston and J. Frank, "Phased array radar antennas," in Radar Handbook, M. Skolnik, Ed. New York: Mc Graw-Hill, 1990.
12. S. Caorsi, A. Lommi, A. Massa, and M. Pastorino, "Peak sidelobe level reduction with a hybrid approach based on gas and difference sets," IEEE Trans. Antennas Propag., vol. 52, pp. 1116-1121, 2004.
13. D. G. Leeper, "Thinned Aperiodic antenna arrays with improved peak sidelobe level control," US 4,071,848, Jan. 31, 1978.
14. D. G. Leeper, "Isophoric arrays - massively thinned phased arrays with well-controlled sidelobes," IEEE Trans. Antennas Propag., vol. 47, pp. 1825-1835, 1999.
15. L. D. Baumert, Cyclic Difference Sets. New York: Springer-Verlag, 1971.
16. N. J. A. Sloane and F. J. MacWilliams, "Pseudo-random sequences and arrays," Proc. IEEE, vol. 64, pp. 1715-1729, 1976.
17. R. J. Turyn, "Character sums and difference sets," Pacific J. Math. vol. 15, no. 1, pp. 319-346, 1965.
18. L. E. Kopilovich, "Square array antennas based on Hadamard difference sets," IEEE Trans. Antennas Propag., vol. 56, pp. 263-266, 2008.
19. N. Jin and Y. Rahmat-Samii, "Advances in particle swarm optimization for antenna designs: Real-number, binary, single-objective and multiobjective implementations," IEEE Trans. Antennas Propag., vol. 55, pp. 556-567, 2007.
20. R. C. Eberhart and Y. Shi, "Particle swarm optimization: Developments, applications and resources," in Proc. Congress on Evol. Computat. Seoul, Korea, 2001, pp. 81-86.
21. J. Kennedy and R. Eberhart, "A discrete binary version of the particle swarm algorithm," in Proc. IEEE Int. Conf. Systems, Man, and Cybernetics, 1997, pp. 4104-4108.