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A Hybrid Approach for the Synthesis of Nonuniformly-Spaced Linear Subarrays

Jianhua Yang, Peng Yang, Feng Yang, Zhiyu Xing, Xiao Ma, Shiwen Yang

2020IEEE Transactions on Antennas and Propagation20 citationsDOI

Abstract

By combining convex programming (CP) and particle swarm optimization (PSO), a hybrid method for the synthesis of excitations and locations of nonuniformly spaced linear subarrays to minimize the subarray number is proposed and discussed in this article. The synthesis problem herein is formulated as a CP problem by minimizing the l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -norm with respect to the excitation variables, and the PSO procedure is carried out as far as location variables are concerned. Through collaborations like this, we can finally get the optimal solution in a global sense. A set of representative numerical experiments shows the effectiveness of this method with quite a number of subarrays saved when compared with the uniformly spaced layouts.

Topics & Concepts

Particle swarm optimizationNorm (philosophy)Regular polygonSet (abstract data type)Mathematical optimizationLinear programmingComputer scienceMathematicsAlgorithmApplied mathematicsTopology (electrical circuits)CombinatoricsGeometryLawPolitical scienceProgramming languageOptical Wireless Communication TechnologiesAntenna Design and OptimizationSparse and Compressive Sensing Techniques