基于稀疏表示和近似l0范数约束的宽带信号DOA估计

doi:10.7527/S1000-6893.2016.320705

电子电气工程与控制

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基于稀疏表示和近似l₀范数约束的宽带信号DOA估计

燕学智, 温艳鑫, 刘国红, 陈建

吉林大学通信工程学院, 长春 130022

收稿日期:2016-08-26 修回日期:2016-12-12 出版日期:2017-06-15 发布日期:2016-12-19
通讯作者: 刘国红,E-mail:liugh10@mails.jlu.edu.cn E-mail:liugh10@mails.jlu.edu.cn
基金资助:
国家重点研发计划（2016YFB1001304）；国家自然科学基金（61171137）

Broadband signal DOA estimation based on sparse representation and l₀-norm approximation

YAN Xuezhi, WEN Yanxin, LIU Guohong, CHEN Jian

College of Communication Engineering, Jilin University, Changchun 130022, China

Received:2016-08-26 Revised:2016-12-12 Online:2017-06-15 Published:2016-12-19
Supported by:
National Key Research and Development Program of China (2016YFB1001304);National Natural Science Foundation of China (61171137)

摘要/Abstract

摘要：

针对宽带信号的波达方向（DOA）估计问题，在稀疏框架下提出一种近似l₀范数约束的宽带信号DOA估计新算法。首先对宽带信号进行预处理，得到同一参考频率点下的接收数据，然后对其协方差矩阵元素进行加和平均运算，得到一个低维的观测向量，并在稀疏框架下进行稀疏表示，最后利用截断l₁函数设定权值，构造逼近l₀范数约束的稀疏重构方法，进而重构信号，获得宽带信号的DOA估计。仿真结果表明，相比于传统的宽带信号DOA估计算法，所提算法具有更高的分辨率和估计精度。

关键词: 信号处理, 宽带信号, 稀疏重构, DOA估计, l₀范数

Abstract:

Based on l₀-norm approximation, an efficient algorithm is proposed to deal with the localization of the broadband signal under the sparse framework. First, by preprocessing broadband signal, the received data under the same frequency is obtained. Then a sum-average operation to array covariance matrix elements of the received data is made in order to get a low dimensional observation vector and the sparse representation of the new model under sparse framework is built. Finally, exploiting truncated l₁ function as the weight coefficients to construct l₀-norm penalty sparse reconstruction method and then reconstruct the broadband signal to obtain DOA estimation. The simulation results demonstrate that comparing to the traditional broadband signal DOA estimate algorithms, the proposed algorithm is able to provide higher resolution and estimation accuracy.

Key words: signal processing, broadband signal, sparse reconstruction, DOA estimation, l₀-norm

中图分类号:

V247
TN911.7

燕学智, 温艳鑫, 刘国红, 陈建. 基于稀疏表示和近似l₀范数约束的宽带信号DOA估计[J]. 航空学报, 2017, 38(6): 320705-320705.

YAN Xuezhi, WEN Yanxin, LIU Guohong, CHEN Jian. Broadband signal DOA estimation based on sparse representation and l₀-norm approximation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(6): 320705-320705.

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E-mail：hkxb@buaa.edu.cn

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基于稀疏表示和近似l₀范数约束的宽带信号DOA估计

Broadband signal DOA estimation based on sparse representation and l₀-norm approximation

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