Article (Scientific journals)
Multiantenna GLR Detection of Rank-One Signals With Known Power Spectral Shape Under Spatially Uncorrelated Noise
Sala, Josep; Vázquez-Vilar;, Gonzalo; López-Valcarce, Roberto et al.
2016In IEEE Transactions on Signal Processing, 64 (23), p. 6269 - 6283
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Keywords :
spectrum sensing; cognitive radio; GLRT
Abstract :
[en] We establish the generalized likelihood ratio (GLR) test for a Gaussian signal of known power spectral shape and unknown rank-one spatial signature in additive white Gaussian noise with an unknown diagonal spatial correlation matrix. This is motivated by spectrum sensing problems in dynamic spectrum access, in which the temporal correlation of the primary signal can be assumed known up to a scaling, and where the noise is due to an uncalibrated receive array. For spatially independent identically distributed (i.i.d.) noise, the corresponding GLR test reduces to a scalar optimization problem, whereas the GLR detector in the general non-i.i.d. case yields a more involved expression, which can be computed via alternating optimization methods. Low signal-to-noise ratio (SNR) approximations to the detectors are given, together with an asymptotic analysis showing the influence on detection performance of the signal power spectrum and SNR distribution across antennas. Under spatial rank-P conditions, we show that the rank-one GLR detectors are consistent with a statistical criterion that maximizes the output energy of a beamformer operating on filtered data. Simulation results support our theoretical findings in that exploiting prior knowledge on the signal power spectrum can result in significant performance improvement.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Sala, Josep
Vázquez-Vilar;, Gonzalo
López-Valcarce, Roberto
Sedighi, Saeid ;  University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SigCom
Taherpour, Abbas
External co-authors :
Language :
Title :
Multiantenna GLR Detection of Rank-One Signals With Known Power Spectral Shape Under Spatially Uncorrelated Noise
Publication date :
Journal title :
IEEE Transactions on Signal Processing
Publisher :
Institute of Electrical and Electronics Engineers, United States
Volume :
Issue :
Pages :
6269 - 6283
Peer reviewed :
Peer Reviewed verified by ORBi
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