文章摘要
虞飞,宋俊,余赟,苏冰.稳健的稀疏信号单快拍波达方向估计[J].声学技术,2023,42(5):649~654
稳健的稀疏信号单快拍波达方向估计
A single snapshot based robust sparse signal DOA estimation
投稿时间:2022-04-07  修订日期:2022-05-29
DOI:10.16300/j.cnki.1000-3630.2023.05.014
中文关键词: 单快拍  最小均方误差(MMSE)  波达方向估计  稀疏重构
英文关键词: single snapshot  minimum mean square error (MMSE)  DOA estimation  sparse reconstruction
基金项目:国家自然科学基金资助项目(11404406)。
作者单位E-mail
虞飞 海军研究院, 北京 100071 yufei19871128@163.com 
宋俊 海军研究院, 北京 100071  
余赟 海军研究院, 北京 100071  
苏冰 海军研究院, 北京 100071  
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中文摘要:
      通过稀疏重构得到传感器阵列输出数据的稀疏表示模型,研究了单快拍采样情形下的信号到达角(Direction ofArrival,DOA)估计问题。提出了一种基于最小均方误差(Minimum Mean-Square Error,MMSE)准则迭代实现的单快拍到达角估计算法(Iterative Implementation of MMSE,II-MMSE)。该算法将原有的稀疏表示模型中稀疏信号矢量的求解问题,转化为迭代求解稀疏功率对角阵,进而估计多目标信号的DOA。给出了算法的完整实现流程,从理论上分析了II-MMSE算法的迭代收敛性和对阵列模型误差的鲁棒性。仿真结果表明,II-MMSE算法在低信噪比、相干背景、小样本、阵列未校准等条件下都具有良好的测向精度和多目标分辨能力。
英文摘要:
      The signal direction of arrival (DOA) estimation is studied based on the sparse reconstruction of the single snapshot array output. A novel single snapshot based signal DOA estimation algorithm named as iterative implementation of MMSE (II-MMSE) algorithm is proposed based on the iterative implementation of minimum mean-square (MMSE) error criterion. The II-MMSE algorithm converts the solution procedure of sparse signal vector into iteratively solving the sparse power diagonal matrix, and then estimates the signal DOA. The detailed algorithm flow of II-MMSE is summarized. The convergence of the II-MMSE algorithm and its robustness to array modeling errors are analyzed theoretically. Simulation results demonstrate that the proposed II-MMSE algorithm performs well in direction finding accuracy and multiple targets resolution under the conditions of low signal-to-noise ratio, coherent background, limited samples, and uncalibrated sensor array.
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