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IEEE Access

On Physical Layer Security Over the Fisher-Snedecor ${\mathcal{F}}$ Wiretap Fading Channels

Long Kong, Georges Kaddoum

Published Jan 1, 2018• 80 citations
Publisher

Abstract

In this paper, we initially investigate the physical layer security over device-to-device communications, where the channel is modeled from the Fisher-Snedecor .T distribution. To be specific, secrecy metrics, including the secrecy outage probability, the probability of non-zero secrecy capacity, and the average secrecy capacity, are well derived with exact closed-form expressions, which are given in terms of the Meijer's G-function. The accuracies of our mathematical expressions are further validated by Monte Carlo simulation results.

DOI
10.1109/access.2018.2853700

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On Physical Layer Security Over the Fisher-Snedecor F{\mathcal{F}}F Wiretap Fading Channels
In this paper, we initially investigate the physical layer security over device-to-device communications, where the channel is modeled from the Fisher-Snedecor .T distribution. To be specific, secrecy metrics, including the secrecy outage probability, the probability of non-zero secrecy capacity, and the average secrecy capacity, are well derived with exact closed-form expressions, which are given in terms of the Meijer's G-function. The accuracies of our mathematical expressions are further validated by Monte Carlo simulation results.
We investigate the physical layer security limits of Wyner's wiretap model over Fisher-Snedecor .T composite fading channels. .T fading conditions have been recently shown to provide an accurate characterization of multipath fading and shadowing effects in emerging wireless transmission scenarios such as body centric, cellular and vehicular communications. To this end, we utilize a redefined analytic expression for the Fisher-Snedecor .T distribution in order to ensure unconstrained validity and reliability when used in the analysis of various performance metrics of interest. In this context, we assume that the main channel (i.e., between the source and the legitimate destination) and the eavesdropper's channel (i.e., between the source and the illegitimate destination) undergo independent quasi-static Fisher-Snedecor .T composite fading. Novel exact analytic expressions are then derived for the corresponding average secrecy capacity (ASC), secure outage probability (SOP) and probability of strictly positive secrecy capacity (SPSC) along with their insightful asymptotic representations. In addition, analytical expressions for the ASC, SOP and SPSC over mixed fading channels such as Nakagami-m/Nakagami-m, Nakagami-m/Fisher-Snedecor .T and Fisher-Snedecor .T/Nakagami-m are derived. The new formulations are validated through comparisons with Monte-Carlo simulations and analyzed to gain useful insights into the impact of the fading parameters on the achievable accuracy and the overall system performance.
Device to Device (D2D) communication is going to be a promising wireless technology for 5G communication and beyond. So the security aspect of the D2D communication system has been the center of research for quite some time. Since Fisher Snedecor F{\mathcal{F}}F fading channel is widely used to characterize the D2D communication scenarios, in this work, the data transmission security has been analyzed over Fisher Snedecor F{\mathcal{F}}F fading channel while simultaneous transmission of same data to multiple receiving devices is considered with the appearance of multiple eavesdroppers. Secrecy performance is measured by deriving different closed-form analytical expressions. i.e. secure outage probability for multicasting, ergodic secrecy multicast capacity, and probability of non-zero secrecy multicast capacity. The adverse effect of both fading and shadowing has been mathematically characterized and solutions to these two problems are graphically represented. Finally, Monte-Carlo simulations are also done to prove the accuracy of the derived mathematical expressions of the proposed model.
Security Performance Analysis of Physical Layer over Fisher-Snedecor F\mathcal{F}F Fading Channels
In this letter, the performance analysis of physical layer security over Fisher-Snedecor F\mathcal{F}F fading channels is investigated. In particular, the average secrecy capacity (ASC), the secure outage probability (SOP), the lower bound of the SOP (SOPL^LL), and the strictly positive secure capacity (SPSC) are derived in exact closed-from expressions. The Fisher-Snedecor F\mathcal{F}F fading channel is a composite of multipath/shadowed fading that are represented by the Nakagami-mmm distribution. Moreover, it provides close results to the practical measurements than the generalised KKK (KGK_GKG​) fading channels. To validate our analysis, the numerical results are affirmed by the Monte Carlo simulations.
The performance of physical-layer security of the classic Wyner's wiretap model over Fisher-Snedecor F composite fading channels is considered in this work. Specifically, the main channel (i.e., between the source and the legitimate destination) and the eavesdropper's channel (i.e., between the source and the illegitimate destination) are assumed to experience independent quasi-static Fisher-Snedecor F fading conditions, which have been shown to be encountered in realistic wireless transmission scenarios in conventional and emerging communication systems. In this context, exact closed-form expressions for the average secrecy capacity (ASC) and the probability of non-zero secrecy capacity (PNSC) are derived. Additionally, an asymptotic analytical expression for the ASC is presented. The impact of shadowing and multipath fading on the secrecy performance is investigated. Our results show that increasing the fading parameter of the main channel and/or the shadowing parameter of the eavesdropper's channel improves the secrecy performance. The analytical results are compared with Monte-Carlo simulations to validate the analysis.
In this paper, we investigate the physical layer security (PLS) of the traditional Wyner’s wiretap channel model. Secrecy performance analysis is performed assuming a presence of an active eavesdropper trying to overhear the confidential data transmission from the source node to the predefined destination. In what follows, we derive the lower bound of the secrecy outage probability, the strictly positive secrecy capacity as well as the average secrecy capacity, over the composite a-Fisher-Snedecor (a-F) fading environment. According to the analytical results, numerical results are also shown. The impact of the path loss component, the average signal-to-noise ratios over the main/wiretap channel as well as the impact of the fading, the non-linearity of the propagation medium and the shadowing shaping parameter on the PLS metrics is examined. The overall analysis and the obtained results have a high level of generality and also a high level of applicability since the a-F distribution was recently proposed, as the best fit distribution for the channel characterization of the device-to-device wireless communication in the future Beyond 5G networks.
Secrecy Analysis of Physical Layer over κ−μκ-μκ−μ Shadowed Fading Scenarios
In this paper, the secrecy analysis of physical layer when both the main and wiretap channels undergo κ−μκ-μκ−μ shadowed fading channel is investigated. In particular, the average secrecy capacity (ASC), secure outage probability (SOP), the lower bound of SOP (SOPL^LL), 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., μμμ and mmm 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 GGG-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.