阵元失效下基于协方差矩阵重构的高分辨测向方法.PDFVIP

阵元失效下基于协方差矩阵重构的高分辨 测向方法 谭伟杰 冯西安 （西北工业大学航海学院，陕西 西安 710072） 摘要：传统子空间类方法依赖于阵列相关矩阵，在阵列中阵元出现失效的情况下，相关矩 阵将会秩亏，子空间类方法将会失效。针对该问题，本文从协方差拟合准则出发，将协方差 矩阵的 Toeplitz结构作为约束，基于低秩矩阵重构的原理来恢复协方差矩阵，而后采用子 空间类方法来进行目标的方位估计。在阵元失效情况下，该方法能有效重构阵列协方差矩阵， 恢复失效阵元的自由度，解决失效阵元情况下高精度目标方位估计的问题。数值仿真表明， 该方法在阵元失效条件下，能够恢复损伤阵列到正常阵列条件下的性能，尤其是对于多个目 标的情况，该方法表现出更优的性能。 1 v 关键词：阵元失效；自由度恢复；协方差矩阵重构；低秩矩阵重构 8 分类号：TN911.7 1 2 High-resolution DOA estimation method based on covariance 0 0 . matrix reconstruction in presence of element failure 4 0 7 Tan Weijie Feng Xi’an 1 (School of Marine Science and Technology，Northwestern Polytechnical University， 0 Xi’an Shaanxi 710072, China) 2 : Abstract：Failed elements can cause the change of array correlation matrix. Thus, v i based on the processing of array correlation matrix, the performance of subspace X methods would deteriorate greatly when array elements failure occurred. This paper a n presents a method to solve this problem. Starting from covariance matching criterion, i making the Toeplitz structure of the covariance matrix as a constraint, the h c covariance matrix is recovered based on the principle of low rank matrix reconstruction, and then DOA estimation is conducted by the use of subspace methods. In case of element failure, the proposed method can reconstruct the array covariance matrix effectively, recover the freedom of the failed element, and solve the problem of high precision DO