Secrecy Analysis Over Cascaded $\kappa -\mu$ Fading Channels With Multiple Eavesdroppers

Abstract

In this paper, secrecy performance is investigated over the cascaded fading channel for the κ-μ distribution. The probability density function (PDF) and the cumulative distribution function (CDF) for the cascaded κ-μ fading channels as well as for some of its special cases, such as the Rayleigh and Rician fading channels are derived. A communication system operating over the cascaded κ-μ fading channel is analyzed in which the outage probability (P <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">o</sub> ), the average symbol error probability (ASEP), and the average channel capacity (ACC) are obtained in terms of the Meijer G-function. In addition, the secrecy is examined for a system model where we have a transmitter, a receiver, and multiple colluding eavesdroppers attempting to overhear the information received. The secrecy performance is investigated in terms of the secrecy outage probability (SOP) and the probability of non-zero secrecy capacity (P <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">r</sub> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nzc</sup> ). The analyses illustrate that increasing the number of eavesdroppers in the network degrades the secrecy of the system. Furthermore, increasing the cascade level in the channel degrades the system performance as well as the information security. In addition, the impact of the wiretap channel parameters and the average received signal-to-noise-ratio (SNR) at the eavesdroppers over the security are studied. To verify the accuracy of the derived analytical expressions, Monte-Carlo simulations are utilized.