Strictly positive secrecy capacity of log-normal fading channel with multiple eavesdroppers

In this paper, we investigate the information-theoretic secrecy for the log-normal fading channel. In particular, we derive the closed-form expressions of the probability of strictly positive secrecy capacity for two wireless communication systems, with two and three eavesdroppers, respectively. These expressions are in terms of the well-known T-function and S-function.