Secrecy Analysis of Physical Layer over $\kappa-\mu$ Shadowed Fading Scenarios

TL;DR

This paper analyzes the physical layer security over $ppa-mu$ shadowed fading channels, deriving new performance metrics and closed-form expressions, verified by simulations.

Contribution

It provides the first comprehensive secrecy analysis for $ppa-mu$ shadowed fading channels with new analytical expressions and insights.

Findings

Derived expressions for ASC, SOP, SOP$^L$, and SPSC in $ppa-mu$ shadowed fading.

Presented closed-form solutions for integer fading parameters.

Validated results with Monte Carlo simulations.

Abstract

In this paper, the secrecy analysis of physical layer when both the main and wiretap channels undergo $\kappa-\mu$ shadowed fading channel is investigated. In particular, the average secrecy capacity (ASC), secure outage probability (SOP), the lower bound of SOP (SOP$^L$), and the probability of strictly positive secrecy capacity (SPSC) are derived by using the classic Wyner's wiretap model. Two different scenarios for the fading parameters, i.e., $\mu$ and $m$ which represents the shadowing impact have been studied. These parameters are chosen first as arbitrary numbers, thus the performance metrics are expressed in single infinite series with multivariate Meijer $G$-function. In the second scenario, both the aforementioned fading parameters are assumed to be integer numbers in order to obtain the derived results in simple exact closed-form analytic mathematically tractable expressions. The numerical results of this analysis are verified via Monte Carlo simulations.