互耦效应下一种基于实值稀疏表示的波达方向估计算法

doi:10.3969/j.issn.1000-1093.2015.02.015

兵工学报 ›› 2015, Vol. 36 ›› Issue (2): 294-298.doi: 10.3969/j.issn.1000-1093.2015.02.015

互耦效应下一种基于实值稀疏表示的波达方向估计算法

吴振¹，戴继生^1,2，朱湘临¹，赵德安¹

(1.江苏大学电气信息工程学院江苏镇江 212013;2.东南大学移动通信国家重点实验室江苏南京 210096)

收稿日期:2013-09-27 修回日期:2013-09-27 上线日期:2015-04-07
作者简介:吴振(1990—)男硕士研究生
基金资助:
国家自然科学基金项目（61102054）；东南大学移动通信国家重点实验室开放研究基金项目（2013D08）

A Real-valued Sparse Representation Method for DOA Estimation with Unknown Mutual Coupling

WU Zhen¹， DAI Ji-sheng^1,2， ZHU Xiang-lin¹， ZHAO De-an¹

(1.School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, Jiangsu, China;2National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, Jiangsu, China)

Received:2013-09-27 Revised:2013-09-27 Online:2015-04-07

摘要/Abstract

摘要： 针对未知互耦条件下的波达方向（DOA）估计问题，提出了一种未知互耦条件下基于实值稀疏表示的加权子空间DOA估计算法。新算法利用一个特定的酉变换矩阵，将一个复杂的复值优化问题转化为一个实值优化问题，从而有效地将原问题的计算复杂度减少4倍以上。此外，为了进一步提高稀疏表示的估计算法估计精度，在原有l1 范数优化模型基础上引入一个能使得DOA估计方差取得最小值的最优子空间加权矩阵。仿真实验表明，在低信噪比情况下，新算法能进一步提高稀疏表示的估计算法抗噪能力，获得更好的估计精度。

关键词: 信息处理技术, 波达方向估计, 稀疏表示, 互耦, 均匀线阵

Abstract: The paper presents a real-valued sparse representation method for DOA estimation in the presence of unknown mutual coupling. Utilizing a certain unitary transformation and taking advantage of the special structure of mutual coupling matrix (MCM) for uniform linear arrays (ULAs), we are able to convert complex-valued manifold matrices of ULAs with unknown mutual coupling into real ones. Due to this transformation, the computational complexity can be decreased by a factor of at least four. Moreover, the proposed method is expected to have a better noise suppression, as it exploits an additional optimal weighting matrix. Thus, the proposed method outperforms the original one, especially when signal-to-noise ratio (SNR) is low. Simulation results verify the efficiency of the proposed method.

Key words: information processing technology, direction of arrival estimation, sparse representation, mutual coupling, uniform linear array

中图分类号:

TN911.7

吴振，戴继生，朱湘临，赵德安. 互耦效应下一种基于实值稀疏表示的波达方向估计算法[J]. 兵工学报, 2015, 36(2): 294-298.

WU Zhen， DAI Ji-sheng， ZHU Xiang-lin， ZHAO De-an. A Real-valued Sparse Representation Method for DOA Estimation with Unknown Mutual Coupling[J]. Acta Armamentarii, 2015, 36(2): 294-298.

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互耦效应下一种基于实值稀疏表示的波达方向估计算法

A Real-valued Sparse Representation Method for DOA Estimation with Unknown Mutual Coupling

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