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DESIGN OF TIME-MODULATED LINEAR ARRAYS WITH A MULTI-OBJECTIVE OPTIMIZATION AP- PROACH
| Citations: | 4 - 1 self |
BibTeX
@MISC{Pal_designof,
author = {S. Pal and S. Das and A. Basak},
title = {DESIGN OF TIME-MODULATED LINEAR ARRAYS WITH A MULTI-OBJECTIVE OPTIMIZATION AP- PROACH},
year = {}
}
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Abstract
Abstract—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 existing optimization-based methods that attempt to minimize a weighted sum of SLL, SBL, and BWFN, we treat these as three distinct 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 methods for 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 membershipfunction based method. The final results obtained with MOEA/D-DE were compared with the results achieved by two state-of-the-art single objective optimization algorithms and five other MO algorithms. Our simulation studies on three instantiations of the design problem reflect the superiority of the MOEA/D-DE based design of time-modulated linear arrays.
Keyphrases
moea d-de mo algorithm compromise solution final result pareto optimal set equivalent final solution approximated pareto front multi-objective optimization linear array synthesis suitable trade-off margin maximum side band level current interest optimization-based method single-objective approach differential evolution operator design problem state-of-the-art single objective optimization algorithm weighted sum mo approach excitation method per requirement fuzzy membershipfunction simulation study distinct objective time-modulated antenna structure time-modulated linear array phase-position synthesis method known multi-objective evolutionary algorithm first null main lobe beam width time-modulated linear antenna array
