基于互协方差的L型嵌套阵列二维波达方向估计

doi:10.3969/j.issn.1000-1093.2019.06.011

兵工学报 ›› 2019, Vol. 40 ›› Issue (6): 1207-1215.doi: 10.3969/j.issn.1000-1093.2019.06.011

基于互协方差的L型嵌套阵列二维波达方向估计

高晓峰，栗苹，李国林，郝新红，贾瑞丽

(北京理工大学机电动态控制重点实验室，北京 100081)

收稿日期:2018-08-01 修回日期:2018-08-01 上线日期:2019-08-14
作者简介:高晓峰（1990—），男，博士研究生。 E-mail: nmbtgxf@163.com
基金资助:
国家“086”项目（201820246020）；北京理工大学研究生科技创新项目（2018CX10002）

Two-dimensional Direction-of-arrival Estimation for L-shaped Nested Array Based on Cross-covariance Matrix

GAO Xiaofeng, LI Ping, LI Guolin, HAO Xinhong, JIA Ruili

(Science and Technology on Electromechanical Dynamic Control Laboratory, Beijing Institute of Technology, Beijing 100081，China)

Received:2018-08-01 Revised:2018-08-01 Online:2019-08-14

摘要/Abstract

摘要： 为了解决L型均匀阵列波达方向（DOA）估计分辨率较低、估计信源数受限于阵元数、估计精度易受信噪比影响等问题，提出一种基于互协方差的L型嵌套阵列二维DOA估计算法。利用不同子阵间互协方差矩阵产生较长无冗余阵元的虚拟阵列，消除噪声干扰；利用虚拟阵列及其共轭矩阵构建等效协方差矩阵，实现虚拟阵列信号的解相干；采用旋转不变子空间技术对等效协方差矩阵进行处理，得到目标的角度信息；基于虚拟阵列等效信源的唯一性进行空间信源的角度匹配。对所提算法的DOA估计有效性进行仿真验证，结果表明，在阵元数相同情况下，该算法与L型均匀阵列相比在低信噪比环境下拥有更高的估计精度，能够辨识更多的空间信源。

关键词: 嵌套阵列, 互协方差, 信噪比, 二维波达方向估计

Abstract: The direction of arrival （DOA）estimation for L-shaped uniform antenna array is limited by low resolution, number of incident signals and signal-to-noise ratio. A two-dimensional DOA estimation algorithm for L-shaped nested array based on cross-covariance matrix is proposed to solve this problem. In the proposed algorithm, the cross-covariance matrixes of different sub-arrays are used to generate longer virtual arrays without redundant elements, which eliminate the noise. To cope with the coherent signals of virtual arrays, several equivalent covariance matrixes are constructed by using the signal of virtual arrays and its conjugate signal. The rotational invariance technique is used to deal with the equivalent covariance matrixes to obtain the angle of incident signals, and the angles are matched by using the uniqueness of equivalent signal vectors of virtual arrays. The effectiveness of the proposed algorithm for DOA estimation was verified. The simulated results show that the proposed algorithm can achieve better DOA estimation performance in low SNR environment and identify more spatial sources compared to the L-shaped uniform array with the same number of array elements. Key

Key words: nestedarray, cross-covariance, signal-to-noiseratio, two-dimensionaldirectionofarrivalestimation

中图分类号:

TN911.23

高晓峰，栗苹，李国林，郝新红，贾瑞丽. 基于互协方差的L型嵌套阵列二维波达方向估计[J]. 兵工学报, 2019, 40(6): 1207-1215.

GAO Xiaofeng, LI Ping, LI Guolin, HAO Xinhong, JIA Ruili. Two-dimensional Direction-of-arrival Estimation for L-shaped Nested Array Based on Cross-covariance Matrix[J]. Acta Armamentarii, 2019, 40(6): 1207-1215.

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基于互协方差的L型嵌套阵列二维波达方向估计

Two-dimensional Direction-of-arrival Estimation for L-shaped Nested Array Based on Cross-covariance Matrix

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