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DECOMPOSITION-BASED EVOLUTIONARY MULTI-OBJECTIVE OPTIMIZATION APPROACH TO THE DESIGN OF CONCENTRIC CIRCULAR ANTENNA ARRAYS

By S. Biswas, D. Bose, S. Das, and S. Kundu

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Abstract:
We investigate the design of Concentric Circular Antenna Arrays (CCAAs) with λ/2 uniform inter-element spacing, non-uniform radial separation, and non-uniform excitation across different rings, from the perspective of Multi-objective Optimization (MO). Unlike the existing single-objective design approaches that try to minimize a weighted sum of the design objectives like Maximum Side Lobe Level (MSLL) and principal lobe Beam-Width (BW), we treat these two objectives individually and use Multiobjective Evolutionary Algorithm based on Decomposition (MOEA/D) with Differential Evolution (DE), called MOEA/D-DE, to achieve the best tradeoff between the two objectives. Unlike the single-objective approaches, the MO approach provides greater flexibility in the design by yielding a set of equivalent final (non-dominated) solutions, from which the user can choose one that attains a suitable trade-off margin as per requirements. We illustrate that the best compromise solution attained by MOEA/D-DE can comfortably outperform state-of-the-art variants of single-objective algorithms like Particle Swarm Optimization (PSO) and Differential Evolution. In addition, we compared the results obtained by MOEA/D-DE with those obtained by one of the most widely used MO algorithm called NSGA-2 and a multi-objective DE variant, on the basis of the R-indicator, hypervolume indicator, and quality of the best trade-off solutions obtained. Our simulation results clearly indicate the superiority of the design based on MOEA/D-DE.

Citation:
S. Biswas, D. Bose, S. Das, and S. Kundu, "Decomposition-Based Evolutionary Multi-Objective Optimization Approach to the Design of Concentric Circular Antenna Arrays," Progress In Electromagnetics Research B, Vol. 52, 185-205, 2013.
doi:10.2528/PIERB13030709

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