航空学报 > 2014, Vol. 35 Issue (5): 1357-1364   doi: 10.7527/S1000-6893.2013.0395

基于压缩感知的频率和DOA联合估计算法

沈志博, 赵国庆, 董春曦, 黄龙   

  1. 西安电子科技大学 电子信息攻防对抗与仿真技术教育部重点实验室, 陕西 西安 710071
  • 收稿日期:2013-06-07 修回日期:2013-09-16 出版日期:2014-05-25 发布日期:2013-09-23
  • 通讯作者: 赵国庆,Tel.:029-88204179 E-mail:guoqzhao@mail.xidian.edu.cn E-mail:guoqzhao@mail.xidian.edu.cn
  • 作者简介:沈志博男,博士研究生。主要研究方向:电子战信号处理,雷达对抗。Tel:029-88204179E-mail:youfenglaiyi1026@163.com;赵国庆男,教授,博士生导师。主要研究方向:电子对抗。Tel:029-88204179E-mail:guoqzhao@mail.xidian.edu.cn
  • 基金资助:

    中央高校基本科研业务费专项资金(K5051202026);国家“973”计划

United Frequency and DOA Estimation Algorithm Based on Compressed Sensing

SHEN Zhibo, ZHAO Guoqing, DONG Chunxi, HUANG Long   

  1. Key Laboratory of Electronic Information Countermeasure and Simulation, Ministry of Education, Xidian University, Xi'an 710071, China
  • Received:2013-06-07 Revised:2013-09-16 Online:2014-05-25 Published:2013-09-23
  • Supported by:

    The Fundamental Research Funds for the Central Universities (K5051202026); National Basic Research Program of China

摘要:

波达方向(DOA)估计是阵列信号处理的一个重要问题,针对信号的DOA估计问题,本文基于压缩感知理论,提出了一种新的频率和角度联合估计算法。首先利用方向波数的空间稀疏性,建立过完备稀疏字典,然后利用压缩采样阵列结构通过求解最优化问题得到方向波数的高分辨估计,最后利用最优空域滤波实现信号到达角度和频率的配对。相对于传统算法,该算法能够实现多信号DOA的高分辨估计,且经过压缩采样后降低了运算量,仿真验证了该算法的正确性与有效性。

关键词: 波达方向, 阵列信号处理, 压缩感知, 稀疏性, 高分辨, 空域滤波

Abstract:

The direction-of-arrival (DOA) estimation is an important issue in array signal processing. For this purpose, a new united frequency and DOA estimation algorithm based on compressed sensing is proposed in this paper. First, an overcomplete sparse dictionary is established using the sparseness of the direction-of-wave number space and then with the compressive sampling array architecture, a high resolution direction-of-wave number estimation is achieved. Finally, the spatial filtering method is used to make a match of the direction-of-wave number with its frequency. Compared with the traditional methods, the proposed method reduces computational complexity by compressive sampling and realizes high resolution DOA estimation of multiple signals. The simulation results verify the effectiveness and feasibility of the method.

Key words: direction of arrival, array signal processing, compressed sensing, sparseness, high resolution, spatial filtering

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