一种新的稀疏重构的DOA估计算法

doi:10.3969/j.issn.1001-2400.2018.05.003

摘要/Abstract

摘要：

为提高低信噪比和较少快拍数条件下远场窄带信号波达方向的估计精度，提出一种新的基于加权l₁范数的稀疏重构波达方向的估计算法．该算法首先采用前后向空间平滑技术获得阵列输出数据协方差矩阵；其次构造出改进Capon算法空间谱函数中的倒谱系数矢量，设计得到符合加权l₁范数的权值矩阵；最后通过奇异值分解对接收数据进行降维处理，获得基于稀疏重构的加权l₁ 范数约束问题模型．仿真结果表明，在低信噪比或快拍数较少的情况下，该算法能够有效地抑制空间谱伪峰和保证较强的稳健性，且信源不需要进行相关处理，仍能获得很高的估计精度．

关键词: 波达方向, 稀疏重构, Capon算法, 加权l<, sub>, 1<, /sub>, 范数

Abstract:

In order to improve the DOA estimation accuracy of far-field narrow-band signals with a low signal-to-noise ratio or few snapshots, a new weighted algorithm based on -norm is proposed. First, the covariance matrix of the output data of the array is generated by using the forward-backward spatial smoothing technique. Second, the cepstrum coefficient vector is constructed in the spatial spectrum function of the Modified Capon(MCapon). The weighted matrix in accordance with the weighted-norm is obtained. Finally,the SVD algorithm is used to reduce the dimensionality of the received data to obtain the model with the weighted-norm constraint based on sparse reconstruction. The algorithm makes spurious peaks in spatial spectrum suppressed, increases robustness and improves the DOA estimation performance with a low signal-to-noise ratio (SNR) or few snapshots without decorrelation processing.

Key words: direction of arrival estimation, sparse reconstruction, Capon algorithm, weighted , norm

韦娟;计永祥;牛俊儒. 一种新的稀疏重构的DOA估计算法[J]. 西安电子科技大学学报, 2018, 45(5): 13-18.

WEI Juan;JI Yongxiang;NIU Junru. Novel algorithm for DOA estimation based on the sparse reconstruction[J]. Journal of Xidian University, 2018, 45(5): 13-18.

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