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

作者:Cui, Guolong*; Kong, Lingjiang; Yang, Xiaobo; Yang, Jianyu
来源:IEICE TRANSACTIONS ON COMMUNICATIONS, 2011, E94B(1): 368-371.
DOI:10.1587/transcom.E94.B.368

摘要

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.