A Full Second-Order Analysis of the Widely Linear MVDR Beamformer for Noncircular Signals

被引：9

作者：

Li, Zhe ^{[1
]}

Pu, Rui ^{[2
]}

Xia, Yili ^{[2
]}

Pei, Wenjiang ^{[2
]}

Mandic, Danilo P. ^{[3
]}

机构：

[1] Soochow Univ, Sch Elect & Informat Engn, Suzhou 215006, Peoples R China

[2] Southeast Univ, Sch Informat Sci & Engn, Nanjing 210096, Peoples R China

[3] Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2021年 / 69卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Interference; Signal to noise ratio; Covariance matrices; Sensors; Array signal processing; Wireless communication; Standards; Beamforming; widely linear minimum variance distortionless response; signal-to-interference plus noise ratio; noncircularity; impropriety; SPECTRUM; DEMODULATION; PERFORMANCE; SHRINKAGE;

D O I：

10.1109/TSP.2021.3096431

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A full performance analysis of the widely linear (WL) minimum variance distortionless response (MVDR) beamformer is introduced. While the WL MVDR is known to outperform its strictly linear counterpart, the Capon beamformer, for noncircular complex signals, the existing approaches provide limited physical insights, since they explicitly or implicitly omit the complementary second-order (SO) statistics of the output interferences and noise (IN). To this end, we exploit the full SO statistics of the output IN to introduce a full SO performance analysis framework for the WL MVDR beamformer. This makes it possible to separate the overall signal-to-interference plus noise ratio (SINR) gain of the WL MVDR beamformer w.r.t. the Capon one into the individual contributions along the in-phase (I) and quadrature (Q) channels. Next, by considering the reception of the unknown signal of interest (SOI) corrupted by an arbitrary number of orthogonal noncircular interferences, we further unveil the distribution of SINR gains in both the I and Q channels, and show that in almost all the spatial cases, these performance advantages are more pronounced when the SO noncircularity rate of the interferences increases. Illustrative numerical simulations are provided to support the theoretical results.

引用

页码：4257 / 4268

页数：12

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