2-D DOA estimation via correlation matrix reconstruction for nested L-shaped array

被引：20
作者：
Yang, Yunlong [1 ,2 ]
Mao, Xingpeng [1 ,2 ]
Hou, Yuguan [1 ,2 ]
Jiang, Guojun [1 ,2 ]
机构：
[1] Harbin Inst Technol, Sch Elect & Informat Engn, Harbin, Peoples R China
[2] Minist Ind & Informat Technol, Key Lab Marine Environm Monitoring & Informat Pro, Harbin, Peoples R China
来源：
DIGITAL SIGNAL PROCESSING | 2020年 / 98卷
基金：
中国国家自然科学基金;
关键词：
2-D DOA estimation; Matrix reconstruction; Nested array; L-shaped array; Oblique projection operator; OF-ARRIVAL ESTIMATION; COPRIME ARRAY; PART I;
D O I：
10.1016/j.dsp.2019.102623
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
For a nested L-shaped array (N-LsA) composed of two orthogonal nested subarrays, the self-difference co-array of each nested subarray is hole-free, whereas cross-difference co-arrays between subarrays have holes. Due to the existence of holes, virtual cross-correlation matrices with increased degree of freedoms (DOFs) can not be constructed from cross-difference co-arrays, which will degrade the performance of direction of arrival (DOA) estimation. To overcome this problem, a high resolution two-dimensional (2-D) DOA estimation algorithm is exploited for N-LsA in this paper. Specifically, by using oblique projection operators, filled cross-difference co-arrays can be achieved by filling the holes, and virtual cross-correlation matrix will be obtained. Then the virtual correlation matrix of the N-LsA, which consists of virtual cross-correlation matrices and virtual autocorrelation matrices given by filled self-difference co-arrays, is reconstructed for 2-D DOA estimation. Additionally, the proposed algorithm contains an automatic angle-pairing procedure and can handle underdetermined DOA estimation. The estimation error, Cramer-Rao bound and computational complexity are derived. Simulation results show that the proposed algorithm offers substantial performance improvement over the existing algorithms. (C) 2019 Elsevier Inc. All rights reserved.
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页数：11
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