Detection of an unknown rank-one component in white noise

被引：42

作者：

Besson, O ^{[1
]}

Kraut, S

Scharf, LL

机构：

[1] ENSICA, Dept Av & Syst, F-31056 Toulouse, France

[2] Queens Univ, Kingston, ON K7L 3N6, Canada

[3] Colorado State Univ, Dept ECE & Stat, Ft Collins, CO 80523 USA

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2006年 / 54卷 / 07期

关键词：

array processing; detection; eigenvalues; maximal invariant statistic; Wishart matrices;

D O I：

10.1109/TSP.2006.874781

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：

We consider the detection of an unknown and arbitrary rank-one signal in a spatial sector scanned by a small number m of beams. We address the problem of finding the maximal invariant for the problem at hand and show that it consists of the ratio of the eigenvalues of a Wishart matrix to its trace. Next, we derive the generalized-likelihood ratio test (GLRT) along with expressions for its probability density function (pdf) under both hypotheses. Special attention is paid to the case m = 2, where the GLRT is shown to be a uniformly most powerful invariant (UMPI). Numerical simulations attest to the validity of the theoretical analysis and illustrate the detection performance of the GLRT.

引用

页码：2835 / 2839

页数：5