Signal Activity Detection of Offset-QPSK in Colored Gaussian Noise

Sayed Jalal ZAHABI  Mohammadali KHOSRAVIFARD  Ali A. TADAION  T. Aaron GULLIVER  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E94-A    No.11    pp.2226-2229
Publication Date: 2011/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.2226
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
Category: Communication Theory and Signals
hypothesis test,  generalized likelihood ratio test,  Ornstein-Uhlenbeck process,  offset-QPSK,  Kac-Murdock-Szego matrix,  

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This letter considers the problem of detecting an offset quadrature phase shift keying (O-QPSK) modulated signal in colored Gaussian noise. The generalized likelihood ratio test (GLRT) is employed for detection. By deriving the GLRT, it is shown that the assumption of colored Gaussian noise results in a more complicated problem than with the white noise assumption that was previously examined in the literature. An efficient solution for the detection maximization problem is proposed, based on which the GLRT is implemented. Performance results are presented to illustrate the detector performance.