冲击噪声下基于矩阵预处理的稀疏重构DoA估计

赵季红; 马兆恬; 曲桦; 王伟华

doi:10.11999/JEIT170371

冲击噪声下基于矩阵预处理的稀疏重构DoA估计

doi: 10.11999/JEIT170371

2.
(西安邮电大学通信与信息工程学院西安 710061)
3.
(西安交通大学电子信息学院西安 710054)

基金项目:

国家自然科学基金(61372092)，教育部中移动项目(MCM20150102)

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- 被引次数: 0
出版历程
- 收稿日期: 2017-04-24
- 修回日期: 2017-10-23
- 刊出日期: 2018-03-19

DoA Estimation Based on Matrix Preconditioning Through Sparse Reconstruction in Impulsive Noise

2.
(Communication and Information Engineering, Xi'an University of Posts, Xi&rsquo
3.
(Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi&rsquo

Funds:

The National Natural Science Foundation of China (61372092), The Ministry of Education in the Mobile Project (MCM20150102)

摘要

摘要: 针对冲击噪声下用稀疏重构的方法不能准确估计波达方向的问题，该文提出基于多项式矩阵预处理的稀疏重构的波达方向(DoA)估计方法。由于冲击噪声的二阶矩不存在，基于二阶矩估计的子空间类算法和稀疏重构类算法不能有效估计出波达方向，且不能很好地处理相干信源。为了解决这个问题，采用多项式预处理技术对接收信号的自相关函数和方向矢量进行预处理，并在此基础上利用稀疏重构技术进行DoA估计。多项式预处理可以缩小矩阵的奇异值分布，使得反映噪声能量的奇异值分布更加明显，从而有利于减小冲击噪声的影响。仿真结果表明，算法在冲击噪声环境下能准确稳定地估计出两种信源的波达方向，尤其是在冲击噪声较强的情况下表现出灵敏度高、鲁棒性好的优点。
- DoA估计 /
- 冲击噪声 /
- 稀疏重构 /
- 多项式预处理
Abstract: Sparse reconstruction method suffers severe degradation in presence of impulsive noise. To deal with this problem, this paper proposed a DoA estimation method based on polynomial matrix preconditioning through sparse reconstruction. Based on the sparse reconstruction, multiply the covariance function and the direction vector by Polynomial preprocessing, which can reduce the distribution matrix of singular values, improve singular value ratio, and exhibit better sparsity. Simulation results demonstrate that the proposed algorithm achieves accurate DoA in coherent and incoherent signal sources under impulsive noise, especially have high accuracy and robustness in the heavy impulsive noise.
- DoA estimation /
- Impulsive noise /
- Sparse reconstruction /
- Polynomial preconditioning

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