Secrecy Capacity Analysis over $\kappa-\mu$ Fading Channels: Theory and Applications

TL;DR

This paper derives analytical expressions for secrecy capacity metrics over $$-mu fading channels, providing insights into secure communication performance under various fading conditions and demonstrating broad applicability to different wireless scenarios.

Contribution

The paper introduces novel analytical solutions for secrecy metrics over $$-mu fading channels, including cases with non-identical distributions and integer $$ values, enhancing understanding of physical layer security.

Findings

Higher main channel SNR increases secrecy probability and reduces outage.

Increased $$ and $$ parameters improve secrecy performance.

Results applicable to various fading models like Rayleigh, Rice, and Nakagami.

Abstract

In this paper, we consider the transmission of confidential information over a $\kappa$-$\mu$ fading channel in the presence of an eavesdropper, who also observes $\kappa$-$\mu$ fading. In particular, we obtain novel analytical solutions for the probability of strictly positive secrecy capacity (SPSC) and the lower bound of secure outage probability (SOP$^L$) for channel coefficients that are positive, real, independent and non-identically distributed ($i.n.i.d.$). We also provide a closed-form expression for the probability of SPSC when the $\mu$ parameter is assumed to only take positive integer values. We then apply the derived results to assess the secrecy performance of the system in terms of the average signal-to-noise ratio (SNR) as a function of the $\kappa$ and $\mu$ fading parameters. We observed that for fixed values of the eavesdropper's average SNR, increases in the average SNR of the main channel produce a higher probability of SPSC and a lower secure outage probability (SOP). It was also found that when the main channel experiences a higher average SNR than the eavesdropper's channel, the probability of SPSC improved while the SOP was found to decrease with increasing values of $\kappa$ and $\mu$ for the legitimate channel. The versatility of the $\kappa$-$\mu$ fading model, means that the results presented in this paper can be used to determine the probability of SPSC and SOP$^L$ for a large number of other fading scenarios such as Rayleigh, Rice (Nakagami-$n$), Nakagami-$m$, One-Sided Gaussian and mixtures of these common fading models. Additionally, due to the duality of the analysis of secrecy capacity and co-channel interference, the results presented here will also have immediate applicability in the analysis of outage probability in wireless systems affected by co-channel interference and background noise.