Exact performance analysis of blindly combined energy detection for spectrum sensing

In this paper, we propose exact decision thresholds for "blindly combined energy detection (BCED)" in the case of multiple receiver collaborative spectrum sensing. As opposed to the decisions thresholds estimation based on an asymptotic analysis in the sense of large samples and/or large collaborative antennas presented in the literature, the proposed mathematical formulation can be used to calculate exact thresholds for finite number of samples and collaborative antennas. The proposed formulation is based on our recent progress in the exact eigen-value distributions of complex Wishart matrices with finite sizes. Moreover, the proposed thresholds valid for both correlated and uncorrelated Gaussian noise cases. Finally, we show that the probability of detection performance with the proposed exact decision thresholds performs better than the performance achieved with the decision thresholds calculated based on the asymptotic analysis, thus validate the importance of this work.