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International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 713680, 9 pages
Research Article

Design of Fully Digital Controlled Shaped Beam Synthesis Using Differential Evolution Algorithm

1Department of Electronics and Communication Engineering, Bengal College of Engineering and Technology, West-Bengal, Durgapur-713212, India
2Department of Electronics and Communication Engineering, Dr. B. C. Roy Engineering College, West-Bengal, Durgapur-713206, India
3Department of Electronics and Communication Engineering, National Institute of Technology Durgapur, West-Bengal, Durgapur-713209, India

Received 20 August 2013; Revised 3 October 2013; Accepted 3 October 2013

Academic Editor: Dau-Chyrh Chang

Copyright © 2013 D. Mandal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A shaped beam synthesis from a concentric ring array has been presented. Two different cases are considered. In the first case, a flat-top beam pattern and, in the second case, a cosec2 beam pattern have been generated. In both the cases, it has been ensured that the obtained beam patterns are not restricted in any single predefined -cut of the patterns; rather, their characteristics are retaining within a range of predefined -planes with some minor variations. The desired beam pattern under each of the individual case is obtained by finding optimum discrete excitations of the array elements. The optimum 4-bit amplitudes generated by four-bit digital attenuators and 5-bit phases generated by 5-bit digital phase shifters are computed using Differential Evolution (DE) Algorithm. To illustrate the effectiveness of DE, the two beam patterns with specified characteristics are computed from the same array using Particle Swarm Optimization (PSO) algorithm and Genetic algorithm (GA) by finding out optimum discrete excitations among the elements. Results clearly show the superiority of DE over PSO and GA to handle the presented problem.