南京理工大学学报(自然科学版)2024,Vol.48Issue(3) :384-389.DOI:10.14177/j.cnki.32-1397n.2024.48.03.017

一种基于矩阵填充的稀疏阵波达方向估计技术

Sparse array DOA estimation technique based on matrix completion

范王恺 芮义斌 李鹏 谢仁宏
南京理工大学学报(自然科学版)2024,Vol.48Issue(3) :384-389.DOI:10.14177/j.cnki.32-1397n.2024.48.03.017

一种基于矩阵填充的稀疏阵波达方向估计技术

Sparse array DOA estimation technique based on matrix completion

范王恺 1芮义斌 1李鹏 1谢仁宏1
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作者信息

  • 1. 南京理工大学 电子工程与光电技术学院,江苏 南京 210094
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摘要

为了提高稀疏阵列波达方向(DOA)估计的性能,该文将低秩矩阵重构理论应用到DOA估计中,提出了一种改进的矩阵填充模型及其优化求解方法.该方法利用Sigmoid函数实现核范数约束并建立最小化模型;然后基于粒子群算法改进增广拉格朗日乘子法,对模型实现低秩优化求解;最后利用多信号分类(MUSIC)算法实现DOA估计.仿真结果表明,该方法能有效实现稀疏阵重构,DOA估计的性能优良,且能够适用于相关信源.

Abstract

In order to improve the performance of sparse array direction of arrival(DOA)estimation,this paper applies low-rank matrix reconstruction theory to DOA estimation,and proposes an improved matrix completion model and its optimized solution method.This method uses the Sigmoid function to achieve the nuclear norm constraint and establishes a minimization model,and then based on the particle swarm algorithm to improve the augmented Lagrange multiplier method to achieve low-rank optimization solution to the model,and finally uses multiple signal classification(MUSIC)algorithm to realize the DOA estimation.The simulation results show that the method can effectively realize the reconstruction of sparse array,the performance of DOA estimation is excellent,and it can be applied to related information sources.

关键词

波达方向估计/稀疏阵列/矩阵填充/增广拉格朗日乘子法/粒子群寻优算法

Key words

direction of arrival estimation/sparse array/matrix completion/augmented Lagrange multiplier method/particle swarm optimization algorithm

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出版年

2024
南京理工大学学报(自然科学版)
南京理工大学

南京理工大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.526
ISSN:1005-9830
参考文献量3
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