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

Ayse Kortun, Tharmalingam Ratnarajah, Mathini Sellathurai, Caijun Zhong, Constantinos B. Papadias

Research output: Contribution to journalArticlepeer-review

116 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)49-55
Number of pages7
JournalIEEE Journal of Selected Topics in Signal Processing
Issue number1
Publication statusPublished - Feb 2011


  • Complex Wishart matrix
  • cooperative spectrum sensing
  • eigenvalue-based detection

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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