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Analysis and Design of Multiple-Antenna Cognitive Radios with Multiple Primary User Signals
Morales-Jimenez D.1; Louie R.H.Y.1; McKay M.R.1; Chen Y.2
2015-09-15
Source PublicationIEEE Transactions on Signal Processing
ISSN1053587X
Volume63Issue:18Pages:4925-4939
Abstract

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.

KeywordCognitive Radio Generalized Maximum Likelihood Ratio Test Signal Detection Spectrum Sensing Sphericity Test
DOI10.1109/TSP.2015.2448528
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000360065700016
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被引频次[WOS]:10   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题DEPARTMENT OF MATHEMATICS
Affiliation1.Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Honk Kong
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China
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Morales-Jimenez D.,Louie R.H.Y.,McKay M.R.,et al. Analysis and Design of Multiple-Antenna Cognitive Radios with Multiple Primary User Signals[J]. IEEE Transactions on Signal Processing,2015,63(18):4925-4939.
APA Morales-Jimenez D.,Louie R.H.Y.,McKay M.R.,&Chen Y..(2015).Analysis and Design of Multiple-Antenna Cognitive Radios with Multiple Primary User Signals.IEEE Transactions on Signal Processing,63(18),4925-4939.
MLA Morales-Jimenez D.,et al."Analysis and Design of Multiple-Antenna Cognitive Radios with Multiple Primary User Signals".IEEE Transactions on Signal Processing 63.18(2015):4925-4939.
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