基于重加权l1范数惩罚的远近场混合源定位算法

doi:10.3969/j.issn.0372-2112.2016.10.023

电子学报 ›› 2016, Vol. 44 ›› Issue (10): 2440-2448.DOI: 10.3969/j.issn.0372-2112.2016.10.023

基于重加权l₁范数惩罚的远近场混合源定位算法

田野, 练秋生

燕山大学信息科学与工程学院, 河北秦皇岛 066004

收稿日期:2015-04-22 修回日期:2015-08-17 出版日期:2016-10-25
- 作者简介:
- 田野,男,1985年12月生于河北省平泉县,2014年于吉林大学通信与信息系统专业获得博士学位,现为燕山大学信息科学与工程学院讲师,主要研究方向为阵列信号处理、稀疏信号重构等.E-mail:tianye@ysu.edu.cn;练秋生,男,1969年8月生于江西遂川,工学博士,现为燕山大学信息科学与工程学院教授、博士生导师,主要研究方向为稀疏表示,压缩感知等.E-mail:lianqs@ysu.edu.cn
- 基金资助:
- 国家自然科学基金 (No.61471313，No.61601398）; 河北省自然科学基金 (No.F2016203100，No.F2014203076）; 河北省高等学校青年拔尖人才计划 (No.BJ2016051）

Mixed Far-Field and Near-Field Source Localization Algorithm Based on Reweighted l₁-Norm Penalty

TIAN Ye, LIAN Qiu-sheng

School of Information Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China

Received:2015-04-22 Revised:2015-08-17 Online:2016-10-25 Published:2016-10-25

摘要/Abstract

摘要：

现有信源定位方法大多假定信源是远场源或近场源，而实际定位系统中往往存在远场源和近场源共存的情况.为实现远、近场源分离及高精度信源定位，本文在稀疏信号重构理论框架下提出了一种新的远近场混合源定位算法.该算法利用阵列协方差矩阵反对角线元素和重加权l₁范数惩罚获得所有信源的到达角（Direction Of Arrival，DOA）估计.在DOA估计的基础上，根据远场与近场源距离参数位于不同区间的特点利用一维搜索实现远、近场源分离以及近场源距离参数的估计.从理论角度分析了重加权l₁范数惩罚算法的重构性能.本文所提算法不仅同时适用于高斯和非高斯信号，而且无需多维搜索和参数配对，也无需信源数的先验信息，同时还可以获得较好的定位精度.计算机仿真结果验证了所提算法的有效性.

关键词: 阵列信号处理, 远场源, 近场源, 远近场混合源, 重加权l₁范数惩罚

Abstract:

Existing source localization methods mostly assume that the sources are pure near-field sources or pure far-field sources.While in practical localization systems,both far-field and near-field sources may exist simultaneously.To classify far-field and near-field sources,and also to achieve high-precision source localization,a novel mixed far-field and near-field source localization algorithm is proposed in sparse signal reconstruction framework.The algorithm first utilizes anti-diagonal elements of array covariance matrix and reweighted l₁-norm penalty to obtain DOA estimation of all sources,then classifies far-field and near-field sources and successively obtains range estimation of near-field sources via one-dimensional search,by exploring the feature that the range parameters of far-field and near-field sources are located in different areas.Theoretically,we analyze the reconstruction performance of the reweighted l₁-norm penalty algorithm.The proposed algorithm is not only suitable for dealing with Gaussian signals and non-Gaussian signals,but also without multi-dimensional search and parameter pairing process,and also without knowing the number of sources.Meanwhile,the proposed algorithm can even provide good estimation accuracy.Computer simulation results validate the effectiveness of the proposed algorithm.

Key words: array signal processing, far-field sources, near-field sources, mixed far-field and near-field sources, reweighted l₁-norm penalty

中图分类号:

TN911.7

田野, 练秋生. 基于重加权l₁范数惩罚的远近场混合源定位算法[J]. 电子学报, 2016, 44(10): 2440-2448.

TIAN Ye, LIAN Qiu-sheng. Mixed Far-Field and Near-Field Source Localization Algorithm Based on Reweighted l₁-Norm Penalty[J]. Acta Electronica Sinica, 2016, 44(10): 2440-2448.

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基于重加权l₁范数惩罚的远近场混合源定位算法

Mixed Far-Field and Near-Field Source Localization Algorithm Based on Reweighted l₁-Norm Penalty

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