Effect of Correlations on the Performance of GLRT Detector in Cognitive Radios

Xi YANG  Shengliang PENG   Pengcheng ZHU  Hongyang CHEN  Xiuying CAO  

Publication
IEICE TRANSACTIONS on Communications   Vol.E94-B   No.4   pp.1089-1093
Publication Date: 2011/04/01
Online ISSN: 1745-1345
DOI: 10.1587/transcom.E94.B.1089
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Wireless Communication Technologies
Keyword: 
cognitive radio,  spectrum sensing,  generalized likelihood ratio test (GLRT),  correlation,  sensing performance,  

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Summary: 
The sensing scheme based on the generalized likelihood ratio test (GLRT) technique has attracted a lot of research interest in the field of cognitive radios (CR). Although its potential advantages in detecting correlated primary signal have been illustrated in prior work, no theoretical analysis of the positive effects of the correlation has appeared in the literature. In this letter, we derive the theoretical false-alarm and detection probabilities of GLRT detector. The theoretical analysis shows that, in the low signal-to-noise ratio (SNR) region, the detector's performance can be improved by exploiting the high correlations between the primary signal samples. The conclusions of the analysis are verified by numerical simulation results.