Analysis and Design of Multiple-Antenna Cognitive Radios with Multiple Primary User Signals

David Morales-Jimenez, Raymond H. Y. Louie, Matthew R. McKay, Yang Chen

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We consider multiple-antenna signal detection of primary user transmission signals by a secondary user receiver in cognitive radio networks. The optimal detector is analyzed for the scenario where the number of primary user signals is no less than the number of receive antennas at the secondary user. We first derive exact expressions for the moments of the generalized likelihood ratio test (GLRT) statistic, yielding approximations for the false alarm and detection probabilities. We then show that the normalized GLRT statistic converges in distribution to a Gaussian random variable when the number of antennas and observations grow large at the same rate. Further, using results from large random matrix theory, we derive expressions to compute the detection probability without explicit knowledge of the channel, and then particularize these expressions for two scenarios of practical interest: 1) a single primary user sending spatially multiplexed signals, and 2) multiple spatially distributed primary users. Our analytical results are finally used to obtain simple design rules for the signal detection threshold.
Original languageEnglish
Pages (from-to)4925-4939
Number of pages15
JournalIEEE Transactions on Signal Processing
Issue number18
Publication statusPublished - 15 Sep 2015

Fingerprint Dive into the research topics of 'Analysis and Design of Multiple-Antenna Cognitive Radios with Multiple Primary User Signals'. Together they form a unique fingerprint.

Cite this