A performance study of Kullback-Leibler distance-based spectrum sensing algorithm

In this paper, we will derive closed-form expressions of false alarm probabilities for a given threshold for the Kullback-Leibler distance-based spectrum sensing detector. This detector is based on the distribution analysis of the primary user received signal. A theoretical probability of false alarm will be derived for a fixed threshold using the Meijer G-function of the product of p independent Rayleigh random variables. The derived analytical decision threshold will be verified with Monte-Carlo simulations and a comparison between simulation and analytical results to confirm the theoretical results. These results confirm the very good match between simulation and theoretic results.