TY - JOUR
T1 - On the Performance of Eigenvalue-Based Cooperative Spectrum Sensing for Cognitive Radio
AU - Kortun, Ayse
AU - Ratnarajah, Tharmalingam
AU - Sellathurai, Mathini
AU - Zhong, Caijun
AU - Papadias, Constantinos B.
N1 - Funding Information:
Manuscript received November 16, 2009; revised March 29, 2010 and June 30, 2010; accepted August 01, 2010. Date of publication August 16, 2010; date of current version January 19, 2011. This work was supported by the Future and Emerging Technologies (FET) Program within the Seventh Framework Program for Research of the European Commission under FET-Open Grant CROWN-233843. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Weifeng Su.
PY - 2011/2
Y1 - 2011/2
N2 - 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.
AB - 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.
KW - Complex Wishart matrix
KW - cooperative spectrum sensing
KW - eigenvalue-based detection
UR - https://www.scopus.com/pages/publications/78951472046
U2 - 10.1109/JSTSP.2010.2066957
DO - 10.1109/JSTSP.2010.2066957
M3 - Article
SN - 1932-4553
VL - 5
SP - 49
EP - 55
JO - IEEE Journal of Selected Topics in Signal Processing
JF - IEEE Journal of Selected Topics in Signal Processing
IS - 1
ER -