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On the Performance of Eigenvalue-Based Cooperative Spectrum Sensing for Cognitive Radio

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5 Author(s)
Kortun, A. ; ECIT, Queen''s Univ. of Belfast, Belfast, UK ; Ratnarajah, T. ; Sellathurai, M. ; Caijun Zhong
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In this paper, the distribution of the ratio of extreme eigenvalues of a complex Wishart matrix is studied in order to calculate the exact decision threshold as a function of the desired probability of false alarm for the maximum-minimum eigenvalue (MME) detector. In contrast to the asymptotic analysis reported in the literature, we consider a finite number of cooperative receivers and a finite number of samples and derive the exact decision threshold for the probability of false alarm. The proposed exact formulation is further reduced to the case of two receiver-based cooperative spectrum sensing. In addition, an approximate closed-form formula of the exact threshold is derived in terms of a desired probability of false alarm for a special case having equal number of receive antennas and signal samples. Finally, the derived analytical exact decision thresholds are verified with Monte-Carlo simulations. We show that the probability of detection performance using the proposed exact decision thresholds achieves significant performance gains compared to the performance of the asymptotic decision threshold.

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Selected Topics in Signal Processing, IEEE Journal of  (Volume:5 ,  Issue: 1 )