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arXiv:1710.01192 · IEEE Communications Letters

Secrecy Outage Analysis Over Correlated Composite Nakagami- mmm /Gamma Fading Channels

George C. Alexandropoulos, Kostas P. Peppas

Published Oct 6, 2017• 80 citations
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Abstract

The secrecy systems operating over spatially correlated composite fading channels is analyzed in this letter. We adopt a multiplicative composite channel model for both the legitimate communication link and the link between the eavesdropper and the legitimate transmitter, consisting of Nakagami-m distributed small-scale fading and shadowing (large-scale fading) modeled by the Gamma distribution. We consider the realistic case where small-scale fading between the links is independent, but shadowing is arbitrarily correlated, and present novel analytical expressions for the probability that the secrecy capacity falls below a target secrecy rate. The presented numerically evaluated results, verified by equivalent computer simulations, offer useful insights on the impact of the shadowing correlation and composite fading parameters on the system's secrecy outage performance.

DOI
10.1109/lcomm.2017.2760255

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The secrecy systems operating over spatially correlated composite fading channels is analyzed in this letter. We adopt a multiplicative composite channel model for both the legitimate communication link and the link between the eavesdropper and the legitimate transmitter, consisting of Nakagami-m distributed small-scale fading and shadowing (large-scale fading) modeled by the Gamma distribution. We consider the realistic case where small-scale fading between the links is independent, but shadowing is arbitrarily correlated, and present novel analytical expressions for the probability that the secrecy capacity falls below a target secrecy rate. The presented numerically evaluated results, verified by equivalent computer simulations, offer useful insights on the impact of the shadowing correlation and composite fading parameters on the system's secrecy outage performance.
The importance of secrecy performance in multicast wireless networks has become paramount as 6 G networks are driving a surge in demand for secure and efficient communication across various applications. To address this challenge, this paper introduces a novel multicast network based on composite Nakagami-Gamma distribution channels, which effectively captures both small- and large-scale fading. Assume that multiple eavesdroppers are attempting to intercept confidential information from the source. To assess secrecy performnce, the analytical expressions for secrecy outage probability for multicasting, probability of non-zero secrecy multicast capacity, and effective secrecy throughput for multicasting are derived in terms of Meijer’s G\mathbf{G}G function. Numerical results demonstrate that despite the detrimental effect of multiple receivers on secrecy performance, the proposed model can be secured by reducing the severity of fading in the main channel link. Finally, Monte Carlo simulations are employed to verify the accuracy of the analytical results.
Secrecy performance of realistic wireless multicast scenarios are significantly deteriorated by simultaneous occurrence of multipath and shadowing which are modeled using composite fading channels. To resolve this security threat, in this paper a framework is proposed where a source transmits private multicast messages to multiple receivers over η - μ / inverse gamma composite fading channels. A group of eavesdroppers are trying to overhear this secret communication. Perfect secrecy is obtained if eavesdropper can not decode any information from the multicast links. Secrecy analysis is carried out deriving closed-form expressions of two well-known secrecy measures i.e. probability of non-zero secrecy capacity and secure outage probability for multicasting. The impacts of multipath, shadowing and other system parameters on the outage performance of the proposed scenario are quantified using the derived expressions. A generic nature of η - μ / inverse gamma distribution is obtained by showing Rayleigh, Nakagami-m, Nakagami-q, η - μ fading and Gaussian channels as a special case of this distribution. Finally, Monte-Carlo simulations are presented to verify the derived expressions.
In this paper, a confidential communication scenario is considered through composite Nakagami-m fading channel with log-normal shadowing in which a source communicates with a destination in the presence of an eavesdropper. Our study is concerned with the analysis of secrecy capacity and secure outage performance of Nakagami-m fading channel with shadowing. The performance of the proposed model is analyzed based on the closed-form expressions of the ergodic secrecy capacity, the probability of non-zero secrecy capacity and the secure outage probability using the Gauss-Hermite quadrature integration formula. Analytical results show that the shadowing effect significantly enhances the ergodic secrecy capacity of the proposed model.
In this paper, we analyze the secrecy outage performance of the classical Wyner’s model, where both the legitimate receiver and the eavesdropper experience gamma-shadowed two-wave with diffuse power (GS-TWDP) composite fading. We derive expressions for the lower bound of the secrecy outage probability (SOP) and the probability of strictly positive secrecy capacity (SPSC) in terms of Meijer’s G-function, which can be efficiently implemented in MATLAB® and MATHEMATICA®. The derived expressions are validated through Monte Carlo simulations and used to perform detailed analysis of the impact of shadowing and multipath severity on secrecy outage performance in channels with composite fading.
The confidentiality of wireless multicast network is notably compromised by the concurrent existence of shadowing and fading. To overcome this security threat, mathematical modeling of a multicast scenario is proposed in this paper over κ-μ/ inverse gamma (IG) composite fading channel where transmitted confidential information from source is under malicious attack of multiple eavesdroppers. The well-known physical layer security approach is adopted to analyze the impact of system parameters on secrecy performance in terms of novel expressions of secure outage probability for multicasting, probability of nonzero secrecy multicast capacity and ergodic secrecy multicast capacity. The generalization of security analysis is achieved by demonstrating Rayleigh, Rician, Nakagami-m, κ-μ fading and Gaussian channels as a special scenarios of κ-μ/IG distribution. At the end, analytical results are justified by performing Monte-Carlo Simulations.
Secrecy Performance Analysis of SIMO Systems Over Correlated κ\kappaκ –μ\muμ Shadowed Fading Channels
In this paper, the secrecy performance of single-input-multiple-output systems over correlated κ-μ shadowed fading channels is investigated. In particular, based on the classic Wyner's wiretap model, we derive analytical expressions for secure outage probability (SOP) and the probability of strictly positive secrecy capacity (SPSC) over correlated κ-μ shadowed fading channels. In order to further study the impact of channel parameters on the secrecy performance, novel SOP and the probability of SPSC over independent and identically distributed κ-μ shadowed fading channels are also obtained. In addition, we discuss the asymptotic expressions of the SOP and the SPSC. The match between the analytical results and simulations is excellent for all parameters under considerations. It is interesting to find that the results show that when the signal-to-noise ratio of the main channel is lower than that of the eavesdropping channel, the larger value of correlation coefficient is helpful to improve the secrecy performance and vice versa.