UMPI Test in SIRV Distribution for the Multi-Rank Signal Model

Guolong CUI; Lingjiang KONG; Xiaobo YANG; Jianyu YANG

doi:10.1587/transcom.E94.B.368

IEICE Transactions on Communications

Online ISSN : 1745-1345
Print ISSN : 0916-8516

Regular Section

UMPI Test in SIRV Distribution for the Multi-Rank Signal Model

Guolong CUI, Lingjiang KONG, Xiaobo YANG, Jianyu YANG

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Keywords: SIRV, GLRT, Rao test, Wald test, UMPI

JOURNAL RESTRICTED ACCESS

2011 Volume E94.B Issue 1 Pages 368-371

DOI https://doi.org/10.1587/transcom.E94.B.368

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Abstract

This letter mainly deals with the multi-rank signal detecting problem against Spherically Invariant Random Vector (SIRV) background with Invariance theory. It is proved that generalized likelihood ratio test (GLRT), Rao test and Wald test are all the Uniformly Most Powerful Invariant (UMPI) detectors in SIRV distributions under a mild technical condition.

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