NDLI: Frequency-Domain GLR Detection of a Second-Order Cyclostationary Signal Over Fading Channels

Content Provider	IEEE Xplore Digital Library
Author	Riba, J. Font-Segura, J. Villares, J. Vazquez, G.
Copyright Year	1991
Abstract	Cyclostationary processes exhibit a form of frequency diversity. Based on that, we show that a digital waveform with symbol period T can be asymptotically represented as a rank-1 frequency-domain vector process which exhibits uncorrelation at different frequencies inside the Nyquist spectral support of 1/T. By resorting to the fast Fourier transform (FFT), this formulation obviates the need of estimating a cumbersome covariance matrix to characterize the likelihood function. We then derive the generalized likelihood ratio test (GLRT) for the detection of a cyclostationary signal in unknown white noise without the need of a assuming a synchronized receiver. This provides a sound theoretical basis for the exploitation of the cyclostationary feature and highlights an explicit link with classical square timing recovery schemes, which appear implicitly in the core of the GLRT. Moreover, to avoid the well-known sensitivity of cyclostationary-based detection schemes to frequency-selective fading channels, a parametric channel model based on a lower bound on the coherence bandwidth is adopted and incorporated into the GLRT. By exploiting the rank-1 structure of small spectral covariance matrices, the obtained detector outperforms the classical spectral correlation magnitude detector.
Sponsorship	IEEE Signal Processing Society
Starting Page	1899
Ending Page	1912
Page Count	14
File Size	2391009
File Format	PDF
ISSN	1053587X
Volume Number	62
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Detectors Frequency-domain analysis Covariance matrices Noise Vectors Correlation Digital modulation frequency-smoothed cyclic periodogram GLRT LMPIT cognitive radio cyclostationarity based detection spectral correlation timing synchronization
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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