Probability of Strictly Positive Secrecy Capacity of Fading Channels

Wireless communication plays an important role in the surveillance and control systems deployed in the marine environment. Currently there is an increasing concern with the information security in various marine projects including offshore hurricane monitoring offshore earthquake surveillance offshore wind farms etc. In the marine environment usually there exists a line-of-sight (LOS) between the transmitter and the receiver thus the RF fading can be characterized by the Rician distribution. In the present work we conduct an analysis on the security of various Fading channels in the context information theoretic secrecy (ITS). Communication security is critical in the marine environment as information maybe transmitted over large open areas like high seas. In this work an analysis will be conducted on the probability of secrecy capacity for wireless communications over various fading channels. In particular a closed form expression for the probability of strictly positive secrecy capacity is derived. The result is applicable to the scenarios of Rayleigh/ Rayleigh Rician/ Rayleigh Rayleigh.