volume | PIER Journals

Abstract

Time-modulated antenna arrays attracted the attention of researchers for the synthesis of low/ultra-low side lobes in recent past. This article proposes a Multi-objective Optimization (MO) framework for the design of time-modulated linear antenna arrays with ultra low maximum Side Lobe Level (SLL), maximum Side Band Level (SBL) and main lobe Beam Width between the First Nulls (BWFN). In contrast to the conventional optimization-based methods that attempt to minimize a weighted sum of maximum SLL, SBL, and BWFN we treat these as three different objectives that are to be achieved simultaneously and use one of the best known Multi-Objective Evolutionary Algorithms (MOEAs) of current interest called MOEA/D-DE (Decomposition based MOEA with Differential Evolution operator) to determine the best compromise among these three objectives. Unlike the single-objective approaches, the MO approach provides greater flexibility in the design by yielding a set of equivalent final solutions from which the user can choose one that attains a suitable trade-off margin as per requirements. We compared time-modulated antenna structures with other linear array synthesis such as the excitation method and the phase-position synthesis method on the basis of the approximated Pareto Fronts (PFs) yielded by MOEA/D-DE and the best compromise solutions determined from the Pareto optimal set with a fuzzy membership-function based method. The final results obtained with MOEA/D-DE were also compared with the results achieved by three state-of-the-art single objective optimization algorithms. Our simulation studies on three significant instantiations of the design problem reflect the superiority of the MOEA-based design of time-modulated linear arrays.

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Dr. Siddharth Pal

Dr. Swagatam Das

Dr. Aniruddha Basak