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Irregular Subarray Design Strategy Based on Weighted L1 Norm Iterative Convex Optimization

Jiyuan Chen, Zhenhai Xu, Xiao Shun-ping

2021IEEE Antennas and Wireless Propagation Letters30 citationsDOI

Abstract

Subarray technology is an effective tradeoff between the sensor array radiation performance and manufacturing cost control. This letter proposes an irregular subarray tiling strategy based on the weighted L1 norm iterative convex optimization (WL1X) method. We first establish a subarray partition model and solve the L0 norm constraint problem by weighted L1 norm iterative convex optimization and then the optimal solution is selected based on the radiation performance. Further, We adopt a good initial point for the local optimization to improve scheme acquisition and selection efficiency. The proposed method can quickly obtain a subarray partition structure with better performance. The effectiveness and potential of the proposed methods are verified by various numerical examples.

Topics & Concepts

Mathematical optimizationNorm (philosophy)Partition (number theory)Iterative methodRegular polygonComputer scienceConvex optimizationOptimization problemConic optimizationAlgorithmMathematicsConvex combinationGeometryCombinatoricsPolitical scienceLawAntenna Design and OptimizationDirection-of-Arrival Estimation TechniquesSparse and Compressive Sensing Techniques