On the security region of best source indices in random wireless networks

Abstract

The secrecy characteristics of random wireless networks considering a generalized fading model, where the communication nodes are equipped with multiple antennas is analyzed. Using stochastic geometric tools, we investigate the secrecy outage probability of such networks from the perspective of the kth best source, which has still not been well characterized in the literature. In particular, we derive the received path gain distributions of the typical destination and the eavesdropper from the k-th best source. Using these results, we derive the secrecy outage probability for two scenarios with respect to the received path gain from any best source and the k-th best source. Furthermore, we introduce a novel concept of security-region based on the k-th best source index. This is pragmatic in creating a protected communication zone for the typical destination. Tractable numerical and simulation results are presented under various assumptions of fading, path loss exponents and antenna figures.