Source enumeration method by combining diagonal loading and constructing second-order statistics

doi:10.19682/j.cnki.1005-8885.2023.2005

中国邮电高校学报(英文) ›› 2023, Vol. 30 ›› Issue (1): 47-55.doi: 10.19682/j.cnki.1005-8885.2023.2005

Source enumeration method by combining diagonal loading and constructing second-order statistics

Wang Chuanchuan, Zeng Yonghu, Wang Liandong, Li Zhipeng

State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System, Luoyang 471003, China

收稿日期:2021-06-24 修回日期:2021-11-29 接受日期:2023-02-13 出版日期:2023-02-28 发布日期:2023-02-28
通讯作者: Zeng Yonghu, E-mail: 471680179@qq.com E-mail:471680179@qq.com
基金资助:
This work was supported by the Natural Science Foundation of China (61801480).

Source enumeration method by combining diagonal loading and constructing second-order statistics

Wang Chuanchuan, Zeng Yonghu, Wang Liandong, Li Zhipeng

State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System, Luoyang 471003, China

Received:2021-06-24 Revised:2021-11-29 Accepted:2023-02-13 Online:2023-02-28 Published:2023-02-28
Contact: Zeng Yonghu, E-mail: 471680179@qq.com E-mail:471680179@qq.com
Supported by:
This work was supported by the Natural Science Foundation of China (61801480).

摘要/Abstract

摘要： A source enumeration method based on diagonal loading of eigenvalues and constructing second-order statistics is proposed, for the case that the antenna array observed signals are overlapped with spatial colored noise, and the number of antennas compared with the number of snapshots meet the requirement of general asymptotic regime. Firstly, the sample covariance matrix of the observed signals is obtained, the eigenvalues of the sample covariance matrix can be acquired by eigenvalue decomposition, and the eigenvalues are diagonally loaded, and a new formula for calculating the diagonal loading is presented. Based on the diagonal loaded eigenvalues, the difference values are calculated for the adjacent eigenvalues after diagonal loading, and the statistical variance of the difference values is calculated. On this basis, the second-order statistics of the difference values are constructed, and when the second-order statistics are minimized, the corresponding number of sources is estimated. The proposed method has wide applicability, which is suitable for both general asymptotic regime and classical asymptotic system, and is suitable for both white Gaussian noise environment and colored noise environment. The method makes up for the lack of source enumeration methods in the case of general asymptotic system and colored noise.

关键词: source enumeration, general asymptotic regime, colored noise, diagonal loading, second-order statistics

Abstract: A source enumeration method based on diagonal loading of eigenvalues and constructing second-order statistics is proposed, for the case that the antenna array observed signals are overlapped with spatial colored noise, and the number of antennas compared with the number of snapshots meet the requirement of general asymptotic regime. Firstly, the sample covariance matrix of the observed signals is obtained, the eigenvalues of the sample covariance matrix can be acquired by eigenvalue decomposition, and the eigenvalues are diagonally loaded, and a new formula for calculating the diagonal loading is presented. Based on the diagonal loaded eigenvalues, the difference values are calculated for the adjacent eigenvalues after diagonal loading, and the statistical variance of the difference values is calculated. On this basis, the second-order statistics of the difference values are constructed, and when the second-order statistics are minimized, the corresponding number of sources is estimated. The proposed method has wide applicability, which is suitable for both general asymptotic regime and classical asymptotic system, and is suitable for both white Gaussian noise environment and colored noise environment. The method makes up for the lack of source enumeration methods in the case of general asymptotic system and colored noise.

Key words: source enumeration, general asymptotic regime, colored noise, diagonal loading, second-order statistics

中图分类号:

TN911.6

Wang Chuanchuan, Zeng Yonghu, Wang Liandong, Li Zhipeng. Source enumeration method by combining diagonal loading and constructing second-order statistics[J]. The Journal of China Universities of Posts and Telecommunications, 2023, 30(1): 47-55.

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Source enumeration method by combining diagonal loading and constructing second-order statistics

Source enumeration method by combining diagonal loading and constructing second-order statistics

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