Kronecker-Based Fusion Rule for Cooperative Spectrum Sensingwith Multi-Antenna Receivers
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Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain
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Electrical Engineering, University of Engineering and Technology of Peshawar, 25000 Peshawar, Pakistan
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School of Electrical Engineering, KTH-Royal Institute of Technology, SE-100 44 Stockholm, Sweden
*
Author to whom correspondence should be addressed.
Electronics 2014, 3(4), 675-688; https://doi.org/10.3390/electronics3040675
Received: 20 August 2014
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Revised: 10 November 2014
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Accepted: 13 November 2014
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Published: 10 December 2014
(This article belongs to the Special Issue Cognitive Radio: Use the Spectrum in a More Efficient Way)
This paper considers a novel fusion rule for spectrum sensing scheme for a cognitive radio network with multi-antenna receivers. The proposed scheme exploits the fact that when any primary signal is present, measurements are spatially correlated due to presence of inter-antenna and inter-receiver spatial correlation. In order to exploit this spatial structure, the generalized likelihood ratio test (GLRT) operates with the determinant of the sample covariance matrix. Therefore, it depends on the sample size N and the dimensionality of the received data (i.e., the number of receivers K and antennas L). However, when the dimensionality fK; Lg is on the order, or larger than the sample size N, the GLRT degenerates due to the ill-conditioning of the sample covariance matrix. In order to circumvent this issue, we propose two techniques that exploit the inner spatial structure of the received observations by using single pair and multi-pairs Kronecker products. The performance of the proposed detectors is evaluated by means of numerical simulations, showing important advantages with respect to the traditional (i.e., unstructured) GLRT approach.
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MDPI and ACS Style
Ali, S.; Jansson, M.; Seco-Granados, G.; López-Salcedo, J.A. Kronecker-Based Fusion Rule for Cooperative Spectrum Sensingwith Multi-Antenna Receivers. Electronics 2014, 3, 675-688. https://doi.org/10.3390/electronics3040675
AMA Style
Ali S, Jansson M, Seco-Granados G, López-Salcedo JA. Kronecker-Based Fusion Rule for Cooperative Spectrum Sensingwith Multi-Antenna Receivers. Electronics. 2014; 3(4):675-688. https://doi.org/10.3390/electronics3040675
Chicago/Turabian StyleAli, Sadiq, Magnus Jansson, Gonzalo Seco-Granados, and José A. López-Salcedo. 2014. "Kronecker-Based Fusion Rule for Cooperative Spectrum Sensingwith Multi-Antenna Receivers" Electronics 3, no. 4: 675-688. https://doi.org/10.3390/electronics3040675
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