Secrecy capacity probability of a SIMO system with dissimilar and non-integer Nakagami-m fading factors

In this paper, we investigate the information-theoretic secrecy of a system with multiple legitimate receivers and multiple eavesdroppers. This system is subject to the Nakagami-m fading. Unlike some existing works, we do not assume that the fading parameters are identical or integers. Although the complexity is significantly increased, we are able to derive a set of closed-form formulas for the outage probability and the probability of strictly positive secrecy capacity.