多子阵互耦影响下的非圆信号自校正算法

doi:10.3969/j.issn.0372-2112.2015.09.004

电子学报 ›› 2015, Vol. 43 ›› Issue (9): 1696-1704.DOI: 10.3969/j.issn.0372-2112.2015.09.004

多子阵互耦影响下的非圆信号自校正算法

尹洁昕, 吴瑛, 王鼎

解放军信息工程大学信息系统工程学院, 河南郑州 450002

收稿日期:2014-01-29 修回日期:2014-05-14 出版日期:2015-09-25
- 作者简介:
- 尹洁昕 女,1989出生于河南郑州,解放军信息工程大学硕士研究生,主要研究方向为阵列信号处理.通信地址:河南省郑州市金水区俭学街7号院信息工程大学(450002).E-mail:Cindyin0807@163.com;吴瑛女,1960出生于河南郑州,工学硕士,解放军信息工程大学教授、博士生导师,主要研究方向为数字信号处理,阵列信号处理及其DSP实现.E-mail:hnwuying22@163.com;王鼎男,1982出生于安徽芜湖,工学博士,解放军信息工程大学讲师,主要研究方向为阵列信号处理和无源定位.E-mail:wang_ding814@aliyun.com
- 基金资助:
- 国家自然科学基金 (No.61201381); 信息工程学院未来发展基金 (No.YP12JJ202057)

Auto-Calibration Method for Noncircular Sources in the Presence of Mutual Coupling of Multiple Subarrays

YIN Jie-xin, WU Ying, WANG Ding

Communication Engineering College, PLA Information Engineering University, Zhengzhou, Henan 450002, China

Received:2014-01-29 Revised:2014-05-14 Online:2015-09-25 Published:2015-09-25
- Supported by:
- National Natural Science Foundation of China (No.61201381); Future Development Fund of Peking University School Electronic and Computer Engineering (No.YP12JJ202057)

摘要/Abstract

摘要：

针对多子阵互耦影响下的非圆信号波达方向(Direction-Of-Arrival,DOA)估计问题,给出了一种针对最大非圆率信号的互耦自校正算法.该算法利用均匀线阵互耦矩阵的带状、对称Toeplitz性和多子阵互耦矩阵的块状对角特性,能够与传统的互耦秩减估计器一样避免多维搜索和迭代运算.并且通过结合信号的非圆特性来扩展数据模型,使得其估计精度较传统的互耦秩减估计算法有明显提升,可分辨信源数也有所增加.对该算法的理论性能进行研究,分析了其对未知参数的可辨识性必要条件,并基于最大非圆率信号模型给出了相应的克拉美罗界(Cramér-Rao Bound,CRB).仿真结果表明,该算法较传统的互耦秩减估计算法在低信噪比、小快拍数下有更强的鲁棒性.

关键词: 多子阵, 互耦, 波达方向估计, 最大非圆率信号, 克拉美罗界

Abstract:

The direction-of-arrival (DOA) estimation method for noncircular sources with maximum noncircularity rate in multiple subarrays is proposed when there exists mutual coupling between sensors of each subarray.Based on the banded and symmetric Toeplitz character of the coupling matrix of uniform linear arrays (ULAs) and the block diagonal character of the coupling matrix of multiple subarrays,the proposed method can avoid multidimensional search and iterative computation like the conventional rank reduction estimator (RARE).We extend the data model by using the noncircular feature of the sources,and thus the proposed method outperforms the conventional RARE in terms of estimation accuracy and the number of sources that can be distinguished.The performance study provides a necessary condition for unique estimation,and the expression of noncircular Gaussian Cramér-Rao bound (CRB) matrix for DOAs is presented.The simulation results illustrate that the proposed algorithm is more robust than the conventional RARE with respect to lower signal-to-noise ratio and fewer number of samplings.

Key words: multiple subarrays, mutual coupling, DOA estimation, noncircular signal with maximum noncircularity rate, CRB

中图分类号:

TN911.7

尹洁昕, 吴瑛, 王鼎. 多子阵互耦影响下的非圆信号自校正算法[J]. 电子学报, 2015, 43(9): 1696-1704.

YIN Jie-xin, WU Ying, WANG Ding . Auto-Calibration Method for Noncircular Sources in the Presence of Mutual Coupling of Multiple Subarrays[J]. Acta Electronica Sinica, 2015, 43(9): 1696-1704.

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多子阵互耦影响下的非圆信号自校正算法

Auto-Calibration Method for Noncircular Sources in the Presence of Mutual Coupling of Multiple Subarrays

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