基于协方差矩阵重构的互质阵列DOA估计

盘敏容; 蒋留兵; 车俐; 姜兴

引用本文:	盘敏容，蒋留兵，车俐，姜兴. 基于协方差矩阵重构的互质阵列DOA估计[J]. 雷达科学与技术, 2020, 18(1): 1-6.[点击复制]
	PAN Minrong,JIANG Liubing,CHE Li,JIANG Xing. DOA Estimation of Coprime Array Based on Covariance Matrix Reconstruction[J]. Radar Science and Technology, 2020, 18(1): 1-6.[点击复制]

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基于协方差矩阵重构的互质阵列DOA估计
盘敏容，蒋留兵，车俐，姜兴
1.桂林电子科技大学信息与通信学院，广西桂林541004;2.桂林电子科技大学广西无线宽带通信与信号处理重点实验室，广西桂林541004;3.桂林电子科技大学计算机与信息安全学院，广西桂林541004

摘要:

针对利用拓展的虚拟阵列的最大连续均匀阵列进行波达方向估计未完全利用虚拟阵列全部信息的问题，提出了一种基于虚拟阵列插值的矩阵重构DOA估计算法。该算法首先通过互质阵列导出的非均匀虚拟阵列，引入虚拟阵列插值的思想来构造一个均匀的线性虚拟阵列；然后提出一个凸优化问题，重构等效接收信号的协方差矩阵；最后优化协方差矩阵的相应矢量的首个元素，利用重构的协方差矩阵进行DOA估计。该算法充分利用虚拟阵列中包含的信息，与利用拓展的虚拟阵列的最大连续均匀阵列进行DOA估计相比，提高了估计自由度和分辨率。

关键词: 互质阵列阵列插值矩阵重构自由度

DOI：DOI:10.3969/j.issn.1672-2337.2020.01.001

分类号:TN911.7

基金项目:国家自然科学基金（No.61561010）；广西自然科学基金（No.2017GXNSFAA198089）；广西重点研发计划项目（No.桂科AB18126003,AB16380316）；桂林电子科技大学研究生教育创新计划项目（No.2019YCXS016）

DOA Estimation of Coprime Array Based on Covariance Matrix Reconstruction

PAN Minrong,JIANG Liubing,CHE Li,JIANG Xing

1.School of Information and Communication，Guilin University of Electronic Technology，Guilin 541004，China;2.Guangxi Key Laboratory of Wireless Broadband Communication and Signal Processing，Guilin University of Electronic Technology，Guilin 541004，China;3.School of Computer and Information Security，Guilin University of Electronic Technology，Guilin 541004，China

Abstract:

Aiming at the problem that the direction of arrival estimation does not fully utilize all the information of the virtual array by using the largest continuous uniform array of extended virtual arrays，a covariance matrix reconstruction DOA estimation algorithm based on virtual array interpolation is proposed. Firstly，the algorithm expands the coprime array to a non uniform virtual array and introduces the idea of virtual array interpolation to construct a uniform linear virtual array. Then a convex optimization problem is proposed to reconstruct the covariance matrix of the equivalent received signal. Finally,the first element of the corresponding vector of the variance matrix is optimized and the reconstructed covariance matrix is used for DOA estimation. The proposed algorithm makes full use of the information contained in the virtual array，improves the degree of freedom (DOF) and resolution compared with the DOA estimation using the largest continuous uniform array of the expanded virtual array.

Key words: coprime array array interpolation matrix reconstruction degree of freedom