现代雷达2025，Vol.47Issue(12)：22-31,10.DOI:10.16592/j.cnki.1004-7859.20220622001
基于多近似一致性ADMM的阵列方向图合成
Array Pattern Synthesis Based on Multi-approximation Consistent-ADMM
摘要
Abstract
In view of the problem of specifying the main lobe and side lobe levels in beam-pattern synthesis,a pattern synthesis meth-od based on multi-approximation optimization and consistent alternating direction method of multipliers(CADMM)is proposed.The proposed method is to minimize the ratio of the maximum power of the side lobe to the minimum power of the main lobe under the lim-it of the power sum of the side lobe and the main lobe.Firstly,auxiliary variables are introduced to decouple the numerator and de-nominator and separate them into two independent sub-problems.Secondly,the two independent sub-problems are approximated as sub-problems with unified forms by using log-sum-exp approximation method,and the transformed objective functions are approxima-ted by two approximation algorithms.Finally,the CADMM is used to eliminate the equality constraints and solve weighted vectors it-eratively,obtaining the specific solution during each iteration.Morevoer,the complexity of the algorithm is also analyzed in the pa-per.The experimental results show that the proposed mehtod can obtain low side lobe level as well as achieve beam-pattern synthesis very well;and it is suitable for arbitrary one-dimensional linear array configuration.This study also provides an idea to solve non-con-vex fractional programming problems and improves the performance of beampattern synthesis algorithms.关键词
方向图综合/分式规划/多近似优化/交替方向乘子法Key words
beam-pattern synthesis/fractional programming/multiple-approximation optimization/alternating direction method of multipliers(ADMM)分类
信息技术与安全科学引用本文复制引用
巩朋成,刘永康,吴云韬,李利荣..基于多近似一致性ADMM的阵列方向图合成[J].现代雷达,2025,47(12):22-31,10.基金项目
国家自然科学基金资助项目(62071172) （62071172）
