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

Kong, Long; Kaddoum, Georges

doi:10.1109/access.2018.2853700

Cited by 73 publications

(70 citation statements)

References 16 publications

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“…Accommodating the closed-form expressions for secrecy performance metrics in the corresponding entries in Table I, directly yields the results, as displayed in Table II. After some simple algebraic manipulations, one can observe the obtained results herein are consistent with the existing works [18], [20], [22], [36].…”

Section: Special Casessupporting

confidence: 89%

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On Physical Layer Security Over Fox's $H$-Function Wiretap Fading Channels

Kong

Kaddoum

Chergui

2019

IEEE Trans. Veh. Technol.

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Most of the well-known fading distributions, if not all of them, could be encompassed by the Fox's H-function fading. Consequently, we investigate the physical layer security (PLS) over Fox's H-function fading wiretap channels, in the presence of non-colluding and colluding eavesdroppers. In particular, for the non-colluding scenario, closed-form expressions are derived for the secrecy outage probability (SOP), the probability of nonzero secrecy capacity (PNZ), and the average secrecy capacity (ASC). These expressions are given in terms of either univariate or bivariate Fox's H-function. In order to show the effectiveness of our derivations, three metrics are respectively listed over the following frequently used fading channels, including Rayleigh, Weibull, Nakagami-m, α − µ, Fisher-Snedecor (F-S) F , and extended generalized-K (EGK). Our tractable results are not only straightforward and general, but also feasible and applicable, especially the SOP, which is usually limited to the lower bound in the literature due to the difficulty of deriving closed-from analytical expressions. For the colluding scenario, a super eavesdropper equipped with maximal ratio combining (MRC) or selection-combining (SC) schemes is characterized. The lower bound of SOP and exact PNZ are thereafter derived with closed-form expressions in terms of the multivariate Fox's H-function. In order to validate the accuracy of our analytical results, Monte-Carlo simulations are subsequently conducted for the aforementioned fading channels. One can observe that for the former non-colluding scenario, we have perfect agreement between the exact analytical and simulation results, and highly accurate approximations between the exact and asymptotic analytical results. On the contrary, the SOP and PNZ of colluding eavesdropper is greatly degraded with the increase of the number of eavesdroppers. Also, the so-called super eavesdropper with MRC is much powerful to wiretap the main channel than the one with SC.Index Terms-Physical layer security, Fox's H-function wiretap fading channels, Mellin transform, secrecy outage probability, probability of non-zero secrecy capacity, average secrecy capacity.

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Section: Special Casessupporting

confidence: 89%

“…Theorem 6. The SOP over Fox's H-function wiretap fading channels in the presence of L-colluding eavesdroppers with SC scheme is lower bounded by (36), shown on the top of this page.…”

Section: B Secrecy Characterization Of Sop Theorem 5 the Sop Over Fmentioning

confidence: 99%

On Physical Layer Security Over Fox's $H$-Function Wiretap Fading Channels

Kong

Kaddoum

Chergui

2019

IEEE Trans. Veh. Technol.

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“…Information-theoretic security, i.e., physical layer security (PLS), has attracted plenty of attentions [1], since the seminal work was established by Shannon and Wyner. On the basis of the classic Wyner's wiretap channel model, many work related to the secrecy performance analysis over various fading channels, including the Gaussian fading channels [2], Rayleigh [3], Rician [4], [5], Nakagami-m [6], Weibull [7], genralized-K [8], α − µ [9]- [13], κ − µ [14], α-η-κ-µ [15], Fisher-Snedor F [16], and Fox's H-function fading channel [17], etc., were done. Apart from the aforementioned fading model, other models, including the composite fading model and cascaded fading model, are also widely used to characterize some wireless communication scenarios.…”

Section: Introductionmentioning

confidence: 99%

Intercept Probability Analysis over the Cascaded Fisher-Snedecor ℱ Fading Wiretap Channels

Kong

et al. 2019

2019 16th International Symposium on Wireless Communication Systems (ISWCS)

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In this paper, we have investigated the physical layer security over cascaded Fisher-Snedecor F fading channels in the presence of randomly distributed eavesdroppers. To characterize the eavesdroppers' intercept capability, both the conceptual k-th nearest and best eavesdroppers are introduced. The probability density function (PDF) of the k-th nearest and best eavesdropper is characterized. The probability of interception, Pint, is correspondingly regarded as the secrecy metric, and is further derived with closed-form expressions in terms of Fox's H-function. For the purposes of providing more insights, the asymptotic behavior of the intercept probability is also provided. To explore the effects of the eavesdroppers' density and the channel fading conditions on the secrecy performance, we have performed the Monte-Carlo simulation and compared our analytical results with the simulated ones. One can find that our analytical results are successfully verified by the simulation results.

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“…and F γ (γ) = m m−1 γ m B (m, m s ) (m s − 1) mγ m 2 F 1 m, m + m s , m + 1; − mγ (m s − 1)γ (2) where B(·, ·) denotes the beta function [19, eq. (8.38)]; 2 F 1 (·) denotes the Gauss hypergeometric function [19, eq.…”

Section: A Statistics Of Fisher-snedecor F Random Variablesmentioning

confidence: 99%

Sum of Fisher-Snedecor F Random Variables and Its Applications

Zhang

Cheng

et al. 2020

IEEE Open J. Commun. Soc.

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The statistical characterization of the sum of random variables (RVs) are useful for investigating the performance of wireless communication systems. We derive exact closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of a sum of independent but not identically distributed (i.n.i.d.)Fisher-Snedecor F RVs. Both PDF and CDF are given in terms of the multivariate Fox's H-function. Besides, a simple and accurate approximation to the sum of i.n.i.d. Fisher-Snedecor F variates is presented using the moment matching method. The obtained PDF and CDF are used to evaluate the performance of wireless communication applications including the outage probability, the effective capacity and the channel capacities under four different adaptive transmission strtegies. Moreover, the corresponding approximate expressions are obtained to provide useful insights for the design and deployment of wireless communication systems. In addition, we derive simple asymptotic expressions for the proposed mathematical analysis in the high signal-to-noise ratio regime. Finally, the numerical results demonstrate the accuracy of the derived expressions. Index TermsChannel capacity, effective capacity, Fisher-Snedecor F -distribution, sum of random variables, Recently, the Fisher-Snedecor F distribution was proposed [1] as a tractable fading model to describe the combined effects of shadowing and multipath fading. This distribution can be reduced to some common ). 2 fading models, such as Nakagami-m and Rayleigh fading channels. Furthermore, it is found in [1] that the F distribution can provide a better fit to the experimental data obtained for device-to-device (D2D) and wearable communication links, especially at 5.8 GHz, as compared with the well established generalized-K (GK) distribution. In addition, its probability density function (PDF) consists of only elementary functions and it leads to more tractable analysis than the GK model [1]. Due to its promising properties, the performance of digital communication systems over F distributed fading channels has been analyzed in [2]-[5] and the references therein. The sum of random variables (RVs) has a wide range of important applications in the performance analysis of wireless communication systems. For example, to enhance the quality of the received signal, maximal-ratio combining (MRC) can be deployed at the receiver to maximize the combiner output signalto-noise ratio (SNR) [6]. The system with MRC receiver operating over different fading channels has been extensively studied [7]-[12]. The PDF and CDF of the sum of Fisher-Snedecor F RVs has been derived in terms of Lauricella multivariate hypergeometric function [13]. However, there results are difficult to be used in the performance analysis of MRC systems over Fisher-Snedecor F fading channels due to the complex of the Lauricella multivariate hypergeometric function. Moreover, authors in [13] obtain outage probability (OP) and outage capacity expressions involving L-fold Mellin-Barnes...

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

Cited by 73 publications

References 16 publications

On Physical Layer Security Over Fox's $H$-Function Wiretap Fading Channels

On Physical Layer Security Over Fox's $H$-Function Wiretap Fading Channels

Intercept Probability Analysis over the Cascaded Fisher-Snedecor ℱ Fading Wiretap Channels

Sum of Fisher-Snedecor F Random Variables and Its Applications

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