In this paper, we analyze the physical layer security over a composite fading channel where the signal to noise ratio (SNR) follows a small-scale generalized gamma distribution superimposed on a large-scale lognormal one. Expressions for average secrecy capacity at high SNR, probability of non zero secrecy capacity and a lower bound on secrecy outage probability are derived and verified with Monte Carlo simulations.
In this paper, we analyze the physical layer security over a composite fading channel where the signal to noise ratio (SNR) follows a small-scale generalized gamma distribution superimposed on a large-scale lognormal one. Expressions for average secrecy capacity at high SNR, probability of non zero secrecy capacity and a lower bound on secrecy outage probability are derived and verified with Monte Carlo simulations.
Abstract Physical layer security is a feasible solution to improve wireless communication secrecy against eavesdropping threats. Within this framework, this work examines the secrecy performance of a wireless link subjected to eavesdropping over generalized composite fading environments, specifically using the α-η-µ/Lognormal and α-κ-µ/Lognormal distributions. Closed-form results are derived for key secrecy performance metrics, including the average secrecy capacity (ASC), a lower bound on the secrecy outage probability SOPL, and the probability of strictly positive secrecy capacity (SPSC). Additionally, asymptotic analyses of ASC, SOPL, and SPSC are presented in the high-SNR regime to yield simplified insights into system behavior. The analysis accommodates arbitrary and independent fading conditions for the main and eavesdropper channels, thereby enabling a comprehensive evaluation of the impact of various channel parameters. Ultimately, all analytical outcomes are corroborated using comprehensive Monte Carlo simulations, affirming their precision and relevance.
This paper investigates the performances of secure communications over non-small-scale fading channels. Specifically, considering three different cases when the main and eavesdropper channels experience independent lognormal fading, correlated lognormal fading, or independent composite fading, we study the average secrecy capacity and secrecy outage [including the probability of nonzero secrecy capacity (PNSC) and secure outage probability (SOP)] for these channel conditions. The approximated closed-form expressions for the average secrecy capacity, PNSC, and SOP are derived for these three different types of non-small fading channels. The accuracy of our performance analysis is verified by simulation.
Considering the fact that the mixture gamma (MG) distribution is a general model that can be used to elaborate most well-known distributions, including small-scale, large-scale, and composite fadings, this letter studies the security issue when the received signal-to-noise ratios (SNRs) follow MG distributions. Closed-form expressions for secrecy metrics including the secrecy outage probability (SOP), the probability of non-zero secrecy capacity (PNZ), and the average secrecy capacity (ASC), are derived. Monte-Carlo simulations are presented to corroborate the accuracy of our derived results. Our derived secrecy metrics provide a general and unified analysis framework for the quick evaluation of the secrecy issue over wireless channels, even when the main channel and wiretap channel are subject to different wireless channels.
Performance Analysis of Physical Layer Security Over Generalized-K Fading Channels Using a Mixture Gamma Distribution
In this letter, the secrecy performance of the classic Wyner's wiretap model over generalized-K fading channels is studied. The closed-form expressions for the average secrecy capacity, secure outage probability, and the probability of strictly positive secrecy capacity are derived. The new expressions provide a unified form, which can handle several of the well-known composite fading environments as special or limiting cases. Monte-Carlo simulations are performed to verify the proposed analysis models.
In this paper, the physical layer security over the M-distributed fading channel is investigated. Initially, an exact expression of secrecy outage probability (SOP) is derived, which has an integral term. To get a closed-form expression, a lower bound of SOP is obtained. After that, the exact expression for the probability of strictly positive secrecy capacity (SPSC) is derived, which is in closed-form. Finally, an exact expression of ergodic secrecy capacity (ESC) is derived, which has two integral terms. To reduce its computational complexity, a closed-from expression for the lower bound of ESC is obtained. As special cases of M-distributed fading channels, the secure performance of the K, exponential, and Gamma-Gamma fading channels are also derived, respectively. Numerical results show that all theoretical results match well with Monte-Carlo simulation results. Specifically, when the average signal-to-noise ratio of main channel is larger than 40 dB, the relative errors for the lower bound of SOP, the probability of SPSC, and the lower bound of ESC are less than 1.936%, 6.753%, and 1.845%, respectively. This indicates that the derived theoretical expressions can be directly used to evaluate system performance without time-consuming simulations. Moreover, the derived results regarding parameters that influence the secrecy performance will enable system designers to quickly determine the optimal available parameter choices when facing different security risks.