Progress In Electromagnetics Research B
ISSN: 1937-6472
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By R. Jain and G. S. Mani

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Thinning is a technique by which the total number of active elements in an antenna array is reduced without causing major degradation in system performance. Dynamic thinning is the process of achieving this under real time conditions. Stochastic techniques have been useful in the design of thinned arrays. However while applying the technique to large 2-D arrays, under changing conditions problems arise due to the very large and rugged solution space. Also, evaluation of the objective function in such cases requires large computational resources, thus reducing the rate of convergence. This paper suggests a technique using Genetic Algorithm which is useful for overcoming these problems. After discussing the basic concept involving dynamic thinning and application methodology, simulation results of applying the technique to linear and planar arrays are presented.

R. Jain and G. S. Mani, "Dynamic Thinning of Antenna Array Using Genetic Algorithm," Progress In Electromagnetics Research B, Vol. 32, 1-20, 2011.

1. King, D. D., R. F. Packard, and R. K. Thomas, "Unequally-spaced broad-band antenna arrays," IRE Trans. on Antenna and Propagation, Vol. 8, 380-384, Jul. 1960.

2. Unz, H., "Linear arrays with arbitrarily distributed elements," IRE Trans. on Antenna and Propagation, Vol. 8, 222-223, Mar. 1960.

3. Sandler, S. S., "Some equivalences between equally and unequally spaced arrays," IRE Trans. on Antenna and Propagation, Vol. 8, 496-500, Sep. 1960.

4. Mafett, A. L., "Array factors with nonuniform spacing parameter," IRE Trans. on Antenna and Propagation, Vol. 10, 131-136, Mar. 1962.

5. Andreasen, M. G., "Linear arrays with variable inter-element spacings," IRE Trans. on Antenna and Propagation, Vol. 10, 137-143, Mar. 1962.

6. Ma, M. T., Theory and Application of Antenna Arrays, J. Wiley & Sons., Inc., New York, 1974.

7. Skolnik, M. I., G. Nemhauser, and J. W. Sherman, "Dynamic programming applied to unequally spaced arrays," IRE Trans. on Antenna and Propagation, Vol. 10, 35-43, Jan. 1964.

8. Madsen, K., H. Schjer-Jacobsen, and J. Voldby, "Minimax solution of non-linear equations without calculating derivatives," Mathematical Programming Study 3, M. Balinski and P. Wolfe (eds.), North Holland Publishing Co., Amsterdam, 1975.

9. Madsen, K., H. Schjer-Jacobsen, and J. Voldby, "Automated minimax design of networks," IEEE Trans. on Circuits and Systems, Vol. 22, 791-796, Oct. 1975.

10. Mahanti, G. K., N. N. Pathak, and P. K. Mahanti, "Synthesis of thinned linear antenna arrays with fixed sidelobe level using Real-coded GA," Progress In Electromagnetics Research, Vol. 75, 319-328, 2007.

11. Yan, K.-K. and Y. Lu, "Sidelobe reduction in array-pattern synthesis using genetic algorithm," IEEE Trans. on Antennas and Propagation, Vol. 45, No. 7, 1117-1122, Jul. 1997.

12. Weile, D. S. and E. Michielssen, "Integer coded Pareto genetic algorithm design of constrained antenna arrays," Electron. Lett., Vol. 32, 1744-1745, Sep. 1996.

13. Murino, V., A. Trucco, and C. S. Regazzoni, "Synthesis of unequally spaced arrays by simulated annealing," IEEE Trans. Signal Processing, Vol. 44, 119-123, Jan. 1996.

14. Trucco, A. and F. Repetto, "A stochastic approach to optimizing the aperture and the number of elements of an aperiodic array," Proc. OCEANS'96, Vol. 3, 1510-1515, Sep. 1996.

15. Trucco, A., "Thinning and weighting of large planar arrays by simulated annealing," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., Vol. 46, No. 2, 374-355, Mar. 1999.

16. Khodier, M. M. and G. Chrisotos, "Linear array geometry synthesis with minimum sidelobe and null control using particle swarm optimization," IEEE Trans. Antennas and Propagation, Vol. 53, No. 8, 2674-21679, Aug. 2005.

17. Quevedo-Teruel, Ó. and E. Rajo-Iglesias, "Ant colony optimization in thinned array synthesis with minimum sidelobe level," IEEE Antennas and Wireless Propagation Letters, Vol. 5, No. 1, 349-352, Dec. 2006.

18. Mosca, S. and M. Ciattaglia, "Ant colony optimization to design thinned arrays," 2006 IEEE International Symposium Antennas and Propagation Society, 4675-4678, 2006.

19. Rajo-Lglesias, E. and O. Quevedo-Teruel, "Linear array synthesis using an ant-colony-optimization-based algorithm," IEEE Antenna and Propagation Magazine, Vol. 49, No. 2, 70-79, Apr. 2007.

20. Quevedo-Teruel, O. and E. Rajo-lglesias, "Ant-colony optimization for array synthesis," IEEE International Symposium Antenna and Propagation Society, 3301-3304, Jul. 9--14, 2006.

21. Haupt, R. L., "Thinned arrays using genetic algorithms," IEEE Trans. on Antennas and Propagation, Vol. 42, No. 7, 993-999, Jul. 1994.

22. O'Neil, D. J., Element placement in thinned arrays using genetic algorithms, Proc. OCEANS '94, Vol. II, 301-306, Brest, France, Sep. 1994.

23. Bray, M. G., D. H. Werner, D. W. Boeringer, and D. W. Machuga, "Optimization of thinned aperiodic linear phased arrays using genetic algorithms to reduce grating lobes during scanning," IEEE Trans. on Antennas and Propagation, Vol. 50, No. 12, 1732-1742, Dec. 2002.

24. Haupt, R. L. and H. Douglas, Genetic Algorithms in Electromagnetics, Werner, John Wiley & Sons, 2007.

25. Fern'andez-Delgado, M., J. A. Rodríguez-González, R. Iglesias, S. Barro, and F. J. Ares-Pena, "Fast array thinning using global optimization methods," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 16, 2259-2271, 2010.

26. Jain, R. and G. S. Mani, "Applying micro GA concept for problems with large and rugged solution space," Proc. Tencon 2009, 2009.

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