一种不依赖超参数的稀疏信号单快拍DOA估计方法

doi:10.12305/j.issn.1001-506X.2021.04.05

系统工程与电子技术 ›› 2021, Vol. 43 ›› Issue (4): 894-900.doi: 10.12305/j.issn.1001-506X.2021.04.05

一种不依赖超参数的稀疏信号单快拍DOA估计方法

虞飞*(), 余赟(), 周利辉(), 彭春光()

中国人民解放军92578部队, 北京 100071

收稿日期:2020-05-13 出版日期:2021-03-25 发布日期:2021-03-31
通讯作者: 虞飞 E-mail:yufei19871128@163.com;yuyuntc@163.com;7898628@qq.com;m15201116679@163.com
作者简介:虞飞(1987-), 男, 工程师, 博士, 主要研究方向为阵列与水声信号处理、辐射源信号分析与处理。E-mail: yufei19871128@163.com|余赟(1984-), 女, 高级工程师, 硕士研究生导师, 博士, 主要研究方向为水声物理与水声信号处理。E-mail: yuyuntc@163.com|周利辉(1983-), 男, 工程师, 博士后, 主要研究方向为水声工程与信息系统。E-mail: 7898628@qq.com|彭春光(1982-), 男, 工程师, 博士后, 主要研究方向为水声建模与仿真。E-mail: m15201116679@163.com
基金资助:
国家自然科学基金(11404406)

Hyperparameter-free sparse signal direction-of-arrival estimation method with single-snapshot

Fei YU*(), Yun YU(), Lihui ZHOU(), Chunguang PENG()

Unit 92578 of the PLA, Beijing 100071, China

Received:2020-05-13 Online:2021-03-25 Published:2021-03-31
Contact: Fei YU E-mail:yufei19871128@163.com;yuyuntc@163.com;7898628@qq.com;m15201116679@163.com

摘要/Abstract

摘要：

基于传感器阵列输出模型的稀疏重构, 研究了利用单快拍数据进行相干信号波达方向(direction-of-arrival, DOA)估计的问题。定义一个干扰协方差矩阵作为权矩阵, 通过加权最小二乘(weighted least squares, WLS)准则的迭代自适应求解, 实现单快拍DOA高精度估计算法, 简称WLS-IAE算法。详细分析了算法的计算复杂度, 并与经典的稀疏估计类算法进行比较。结果表明作为一种稀疏表示类估计方法, WLS-IAE算法不仅保持了在低信噪比、单快拍、信号相干、信号DOA角度间隔小等非理想条件下的良好估计性能, 而且无需选取超参数, 计算复杂度更低, 具有更强的实时性, 适用于快变目标信号DOA的实时跟踪测量, 具备潜在的工程实用价值。仿真实验验证了提出算法的有效性。

关键词: 单快拍, 稀疏表示, 波达方向, 加权最小二乘

Abstract:

Based on the sparse representation of the array output model, the issue of direction-of-arrival (DOA) estimation for coherent signals is researched utilizing the single-snapshot data. An interference covariance matrix is defined as a weighed matrix, and the high-precision estimation of single-snapshot DOA is realized by the iterative adaptive solution of a weighted least squares (WLS), abbreviated to WLS-IAE. The computational complexity of the algorithm is analyzed in detail, and compared with that of the classical sparse estimation algorithm. As a sparse representation estimation method, the proposed algorithm not only maintains good estimation performance under non-ideal conditions such as low signal to noise ratio, single snapshot, coherent sources and nearby sources, but also do not require to select hyperparameters, and has low computational complexity and hard real time, which is particularly useful for the real-time measurement and tracking of time-varying DOA with potential practical value. Simulation experiments verify the efficacy of the proposed algorithm.

Key words: single-snapshot, sparse representation, direction-of-arrival (DOA), weighted least squares (WLS)

中图分类号:

虞飞, 余赟, 周利辉, 彭春光. 一种不依赖超参数的稀疏信号单快拍DOA估计方法[J]. 系统工程与电子技术, 2021, 43(4): 894-900.

Fei YU, Yun YU, Lihui ZHOU, Chunguang PENG. Hyperparameter-free sparse signal direction-of-arrival estimation method with single-snapshot[J]. Systems Engineering and Electronics, 2021, 43(4): 894-900.

图/表 3

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一种不依赖超参数的稀疏信号单快拍DOA估计方法

Hyperparameter-free sparse signal direction-of-arrival estimation method with single-snapshot

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