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International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)

Strictly Positive Secrecy Capacity Analysis of a Wiretapped Wireless Communication System in Presence of Full Hyper-Rayleigh Fading Channel

Aleksey S. Gvozdarev

Published Oct 22, 2025• 1 citation

Abstract

The research considers the physical layer security problem for wireless devices communicating through a full hyper-Rayleigh fading channel. Two distinct scenarios are assumed: asymmetric (the links have different channel statistical descriptions) and symmetric (the channel statistical parameters are identical for both the main and wiretap links); and two particular cases are studied: the wiretap-dominating case (i.e., the average signal-to-noise ratio (SNR) in the wiretap channel is much greater than in the main channel) and the main channel-dominating case (that is, when the opposite situation is observed). For the assumed problem, a closed-form expression for the probability of strictly positive secrecy capacity is derived, and closed-form approximations for both scenarios and both cases are provided. The presented numerical analysis demonstrates the correctness of the derived expressions and provides insights into the impact of various channel parameters on communication secrecy in severe fading environments.

DOI: 10.1109/cce67728.2025.11271986

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The research considers the physical layer security problem for wireless devices communicating through a full hyper-Rayleigh fading channel. Two distinct scenarios are assumed: asymmetric (the links have different channel statistical descriptions) and symmetric (the channel statistical parameters are identical for both the main and wiretap links); and two particular cases are studied: the wiretap-dominating case (i.e., the average signal-to-noise ratio (SNR) in the wiretap channel is much greater than in the main channel) and the main channel-dominating case (that is, when the opposite situation is observed). For the assumed problem, a closed-form expression for the probability of strictly positive secrecy capacity is derived, and closed-form approximations for both scenarios and both cases are provided. The presented numerical analysis demonstrates the correctness of the derived expressions and provides insights into the impact of various channel parameters on communication secrecy in severe fading environments.

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Secrecy Analysis of Physical Layer over

κ-μ

Shadowed Fading Scenarios

In this paper, the secrecy analysis of physical layer when both the main and wiretap channels undergo

κ-μ

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.,

μ

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.

This paper studies performance analysis of physical layer security in a Rayleigh fading wiretap channel, where, the main (transmitter-to-legitimate receiver) and eavesdropper (transmitter-to-eavesdropper) channel coefficients are correlated. By exploiting the novel approach called Copula theory, we derive closed-form expressions for average secrecy capacity (ASC), secrecy outage probability (SOP), and secrecy coverage region (SCR). Moreover, to more evaluate the impact of channel correlation, the asymptotic behavior of SOP in high signal-to-noise ratio (SNR) regime and other scenarios is studied, and finally, the analytical results are illustrated numerically under the positive dependence, independence, and negative dependence structures. Based on the insights from this analysis, we found that the effect of correlated fading on the performance of physical layer security can be helpful or harmful in different scenarios, depending on the structure of dependency between the main and eavesdropper channels.

Abstract Information‐theoretic analysis of the communication systems performances is of practical and theoretical importance. In this article, we study side information impact on physical layer security in a Rayleigh fading wiretap channel by deriving closed‐form expressions for the average secrecy capacity (ASC), secrecy outage probability (SOP), secrecy coverage region (SCR), and specifically, the asymptotic behavior of SOP. The results, while including previous works as special cases, show that side information has positive effects over ASC and SOP, and also, it increases the SCR, as expected intuitively. Numerical evaluations have been done to support the claims.