Signal Activity Detection of Offset-QPSK in Colored Gaussian Noise

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

doi:10.1587/transfun.E94.A.2226

Special Section on Information Theory and Its Applications

Signal Activity Detection of Offset-QPSK in Colored Gaussian Noise

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

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Keywords: hypothesis test, generalized likelihood ratio test, Ornstein-Uhlenbeck process, offset-QPSK, Kac-Murdock-Szegö matrix

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2011 Volume E94.A Issue 11 Pages 2226-2229

DOI https://doi.org/10.1587/transfun.E94.A.2226

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Abstract

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.

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