基于联合子带ANM的小快拍宽带DOA估计方法

doi:10.3969/j.issn.1001-506X.2020.04.01

系统工程与电子技术 ›› 2020, Vol. 42 ›› Issue (4): 733-739.doi: 10.3969/j.issn.1001-506X.2020.04.01

• 电子技术 • 下一篇

基于联合子带ANM的小快拍宽带DOA估计方法

石娟¹(), 张群飞¹(), 毛琳琳²(), 史文涛¹()

1. 西北工业大学航海学院, 陕西西安 710072
2. 中国科学院声学研究所, 北京 100190

收稿日期:2019-04-02 出版日期:2020-03-28 发布日期:2020-03-28
作者简介:石娟(1984-),女,博士研究生,主要研究方向为信号处理。E-mail:shijuan@mail.nwpu.edu.cn|张群飞(1968-),男,教授,博士研究生导师,博士,主要研究方向阵列信号处理、水下通信。E-mail:zhangqf@nwpu.edu.cn|毛琳琳(1991-),女,助理研究员,博士,主要研究方向为水下目标探测。E-mail:maoll@mail.ioa.ac.cn|史文涛(1985-),男,副教授,博士,主要研究方向为水下信号处理。E-mail:swt1985@126.com
基金资助:
国家自然科学基金(61531015);国家自然科学基金(61501374);国家自然科学基金(61901467);国家重点研发计划(2016YFC1400203)

Wideband DOA estimation with deficient snapshots via joint sub-band atomic norm minimization

Juan SHI¹(), Qunfei ZHANG¹(), Linlin MAO²(), Wentao SHI¹()

1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
2. Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

Received:2019-04-02 Online:2020-03-28 Published:2020-03-28
Supported by:
国家自然科学基金(61531015);国家自然科学基金(61501374);国家自然科学基金(61901467);国家重点研发计划(2016YFC1400203)

摘要/Abstract

摘要：

针对被动探测系统中,经典宽带信号波达方位(direction-of-arrival, DOA)估计方法在小快拍条件下无法直接有效地进行方位估计的问题,提出了一种基于联合子带最小原子范数(atomic norm minimization, ANM)的小快拍宽带信号方位估计方法。该方法首先将宽带信号划分的各子带聚焦到参考频点,再联合聚焦后的子带进行数据矩阵重构,最后通过ANM半正定规划优化,构造并恢复出一个最优的Toeplitz矩阵。该Toeplitz矩阵经过特征分解,能获得准确的信号子空间,从而实现有效的DOA估计。仿真结果表明,本文所提的方位估计方法在小快拍条件下具有良好的DOA估计性能,且能够估计相干源目标。

关键词: 宽带信号, 波达方位估计, 联合子带, 最小原子范数, Toeplitz矩阵

Abstract:

In the detective and estimation passive system, the traditional direction-of-arrival (DOA) estimation methods cannot work directly with deficient snapshots. To solve this problem, an improved wide band DOA estimation approach is developed by applying the atomic norm minimization (ANM) technique to the joint sub-band data. First, every sub-band data of the whole bandwidth focuses on the reference frequency band to obtain the new sub-band data. Next, the new data matrix is reconstructed by the joint sub-band data after rotation. Then, an optimal Toeplitz matrix is obtained from ANM in the form of semi-definite programming. The accurate signal subspace can be acquired by performing eigenvalue decomposition of the retrieval Toeplitz matrix, which avails to DOA estimation. Simulation results show that the proposed wide band DOA estimation method exhibits better performance in the case of deficient snapshots and can estimate coherent source targets.

Key words: wide band signal, direction-of-arrival (DOA) estimation, joint sub-band, atomic norm minimization (ANM), Toeplitz matrix

中图分类号:

TN911.7

石娟, 张群飞, 毛琳琳, 史文涛. 基于联合子带ANM的小快拍宽带DOA估计方法[J]. 系统工程与电子技术, 2020, 42(4): 733-739.

Juan SHI, Qunfei ZHANG, Linlin MAO, Wentao SHI. Wideband DOA estimation with deficient snapshots via joint sub-band atomic norm minimization[J]. Systems Engineering and Electronics, 2020, 42(4): 733-739.

图/表 7

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快拍数	方法	RMSE/(°)
快拍数	方法	SNR=10 dB	SNR=16 dB
L=1	JSB-ANM	1.26	0.75
	FSS-RSS	4.14	0.98
	FSS-ISM	18.74	11.80
L=2	JSB-ANM	0.92	0.50
	FSS-RSS	1.83	0.78
	FSS-ISM	12.60	3.47

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基于联合子带ANM的小快拍宽带DOA估计方法

Wideband DOA estimation with deficient snapshots via joint sub-band atomic norm minimization

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