Secrecy Capacity Analysis Over $\alpha - \mu $ Fading Channels

Lei, Hongjiang; Ansari, Imran Shafique; Pan, Gaofeng; Alomair, Basel; Alouini, Mohamed‐Slim

doi:10.1109/lcomm.2017.2669976

Cited by 178 publications

(129 citation statements)

References 19 publications

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“…As α or µ increases, both the main channel and eavesdropper channel become better and have higher individual capacities, but the resulting capacity difference between these two is small and hence, ASC is small. Similar trends are also observed in [12] for the α-µ fading channel, which is a special case of the α-η-κ-µ channel.…”

Section: Remarksupporting

confidence: 79%

“…In this letter, we consider the classic Wyner's wiretap model [12] for our analysis, where the legitimate transmitter, Alice (node A), transmits confidential information signal to the legitimate receiver, Bob (node B), over the main channel. The eavesdropper, Eve (node E), tries to intercept these messages by decoding its received signal through the eavesdropper channel.…”

Section: B System Modelmentioning

confidence: 99%

“…Using the definition of secrecy capacity [12,Eq. (6)] and applying the transformation γ B = |R B | 2 γ = uγ and γ E = |R E | 2 γ = vγ, the asymptotic ASC is written as…”

Section: B Asymptotic Asc Analysismentioning

confidence: 99%

“…This motivates us to conduct the secrecy performance analysis of communication systems over the α-η-κ-µ fading channels. The main contributions of this letter are as follows: 1) A novel series based expression for the average secrecy capacity (ASC) is derived in terms of the extended generalized bivariate Fox H function (EGBFHF) for the classical Wyner's model [12] under the α-η-κ-µ fading. 2) Exact and generalized expression is obtained for the secrecy outage probability (SOP) in terms of the Meijer G function contrary to previous works [2], [13], [14], where only lower bound of SOP is derived.…”

Section: Introductionmentioning

confidence: 99%

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On Physical Layer Security of $\alpha$ -$\eta$ -$\kappa$ -$\mu$ Fading Channels

Mathur

Bhatnagar

et al. 2018

IEEE Commun. Lett.

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Abstract-In this letter, we study the secrecy performance of the classic Wyner's wiretap model, where the main and eavesdropper channels are modeled by a general and versatile α-η-κ-µ fading model. Novel and exact expressions of the average secrecy capacity and secrecy outage probability have been derived. Previous results on physical layer security can be obtained through our newly derived expressions by specializing the model parameters. More importantly, the derived results are also applicable for the secrecy performance analysis of some field measurements (e.g. in millimeter wave communications), which cannot be analyzed by previous results.

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Section: Remarksupporting

confidence: 79%

Section: B System Modelmentioning

confidence: 99%

“…Using the definition of secrecy capacity [12,Eq. (6)] and applying the transformation γ B = |R B | 2 γ = uγ and γ E = |R E | 2 γ = vγ, the asymptotic ASC is written as…”

Section: B Asymptotic Asc Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On Physical Layer Security of $\alpha$ -$\eta$ -$\kappa$ -$\mu$ Fading Channels

Mathur

Bhatnagar

et al. 2018

IEEE Commun. Lett.

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“…There is an increasing number of research exploring the physical layer secrecy performance of communication systems over different fading conditions. The average secrecy capacity (ASC) over κ-µ and α-µ fading channels have been derived in [2] and [3], respectively. The secrecy outage probability (SOP) performance over correlated composite Nakagami-m/Gamma fading channels was investigated in [4].…”

Section: Introductionmentioning

confidence: 99%

On Physical Layer Security of Double Rayleigh Fading Channels for Vehicular Communications

Cheffena

Mathur

et al. 2018

IEEE Wireless Commun. Lett.

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105

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Abstract-In this letter, we study the physical layer secrecy performance of the classic Wyner's wiretap model over double Rayleigh fading channels for vehicular communications links. We derive novel and closed-form expressions for the average secrecy capacity (ASC) taking into account the effects of fading, path loss and eavesdropper location uncertainty. The asymptotic analysis for ASC is also conducted. The derived expressions can be used for secrecy capacity analysis of a number of scenarios including vehicular-to-vehicular (V2V) communications. The obtained results reveal the importance of taking the eavesdropper location uncertainty into consideration while designing V2V communication systems.Index Terms-Physical layer security, average secrecy capacity, double Rayleigh fading, vehicle-to-vehicle (V2V) communication.

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On the statistics of the ratio of nonconstrained arbitrary α‐μ random variables: A general framework and applications

Osorio

Olivo

Alves

et al. 2019

Trans Emerging Tel Tech

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In this paper, we derive closed‐form exact expressions for the main statistics of the ratio of two squared α‐μ random variables, which are of interest in many scenarios for future wireless networks where generalized distributions are more suitable to fit with field data. Importantly, different from previous proposals, our expressions are general in the sense that are valid for nonconstrained arbitrary values of the parameters of the α‐μ distribution. Thus, the probability density function, cumulative distribution function, moment generating function, and higher‐order moments are given in terms of both (i) the Fox H‐function for which we provide a portable and efficient Wolfram Mathematica code and (ii) easily computable series expansions. Our expressions can be used straightforwardly in the performance analysis of a number of wireless communication systems, including either interference‐limited scenarios, spectrum sharing, full‐duplex, or physical‐layer security networks, for which we present the application of the proposed framework. Moreover, closed‐form expressions for some classical distributions, derived as special cases from the α‐μ distribution, are provided as byproducts. The validity of the proposed expressions is confirmed via Monte Carlo simulations.

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Secrecy Capacity Analysis Over $\alpha - \mu $ Fading Channels

Cited by 178 publications

References 19 publications

On Physical Layer Security of $\alpha$ -$\eta$ -$\kappa$ -$\mu$ Fading Channels

On Physical Layer Security of $\alpha$ -$\eta$ -$\kappa$ -$\mu$ Fading Channels

On Physical Layer Security of Double Rayleigh Fading Channels for Vehicular Communications

On the statistics of the ratio of nonconstrained arbitrary α‐μ random variables: A general framework and applications

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