Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE Communications Letters

Performance Analysis of Physical Layer Security Over Generalized-$K$ Fading Channels Using a Mixture Gamma Distribution

Hongjiang Lei, Huan Zhang, Imran Shafique Ansari, Chao Gao, Yongcai Guo, Gaofeng Pan, Khalid A. Qaraqe

Published Dec 1, 2015• 119 citations
Publisher

Abstract

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.

DOI
10.1109/lcomm.2015.2504580

Related papers

On Physical Layer Security Over Generalized Gamma Fading Channels

Hongjiang Lei, Chao Gao, Yongcai Guo +1 more

In this letter, we study the secrecy performance of the classic Wyner's wiretap model over the generalized Gamma fading channels. The closed-form expressions for the probability of strictly positive secrecy capacity and the lower bound of secure outage probability are derived. Monte-Carlo simulations are performed to verify the derived analysis.

IEEE Communications Letters•Apr 24, 2015•135 citations

Physical‐layer security over generalised‐ K fading channels

Hongjiang Lei, Imran Shafique Ansari, Chao Gao +3 more

In this study, the secrecy performance of the classic Wyner's wiretap model over generalised‐ K fading channels is studied. The closed‐form expressions for the average secrecy capacity, the lower bound of 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. Moreover, all the derived expressions are given in terms of Meijer's G ‐function, which can be simply realised in MATLAB and MATHEMATICA. Monte‐Carlo simulations are performed to verify the proposed analysis models.

IET Communications•Jul 20, 2016•18 citations

Secrecy Capacity of Physical Layer over $\kappa-\mu$ /Gamma Composite Fading Channel

Rupender Singh, Meenakshi Rawat

Rapid developments of the emerging wireless network applications such as 5G, IoT and device-to-device (D2D) systems raise the diversity of challenges in physical layer security (PLS). In the present work, we examine Wyner's wiretap composite multipath/shadowing fading channel model and provide analysis for PLS secrecy performance. We consider a generic single-input and single-output (SISO) system where both the main and eavesdropper channels are modeled by κ-μ /gamma composite fading channel. In particular, the lower bound of secure outage probability (SOPL) and strictly positive secrecy capacity (SPSC) are obtained in closed-form. We also conduct the analysis for average secrecy capacity (ASC) in heavy shadowing and derive analytical expression in closed-form.

IEEE Region 10 Conference (TENCON)•Oct 1, 2019•6 citations

Exact closed‐form capacity and outage probability of physical layer security in shadowed fading channels

Hussien Al‐Hmood, Hamed Saffa Al-Raweshidy

In this study, the secrecy performance of physical layer when both the main and wiretap channels undergo shadowed fading conditions is analysed. In particular, the average secrecy capacity, secure outage probability (SOP), the lower bound of SOP (SOP ), and the probability of strictly positive secrecy capacity are derived by using the classic Wyner's wiretap model. Two different scenarios for the fading parameters, namely, and m , which represent the real extension of the number of the multipath clusters and the shadowing index, respectively, have been studied. These parameters are chosen first as arbitrary numbers, thus the performance metrics are given in exact closed‐form in terms of the extended generalised bivariate Fox's H ‐function that has been widely implemented in the open literature using various software packages. In the second scenario, both the fading parameters are assumed to be integer numbers to obtain the derived results in simple exact closed‐form mathematically tractable expressions in terms of some analytic functions. The numerical results of this analysis are verified via the Monte Carlo simulations.

IET Communications•Aug 29, 2019•8 citations

Secrecy Characteristics With Assistance of Mixture Gamma Distribution

Long Kong, Georges Kaddoum

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.

IEEE Wireless Communications Letters•Mar 22, 2019•24 citations

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

Aashish Mathur, Yun Ai, Manav R. Bhatnagar +2 more

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.

IEEE Communications Letters•Jul 26, 2018•68 citations
Performance Analysis of Physical Layer Security Over Generalized-KKK 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 study, the secrecy performance of the classic Wyner's wiretap model over generalised‐ K fading channels is studied. The closed‐form expressions for the average secrecy capacity, the lower bound of 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. Moreover, all the derived expressions are given in terms of Meijer's G ‐function, which can be simply realised in MATLAB and MATHEMATICA. Monte‐Carlo simulations are performed to verify the proposed analysis models.
Secrecy Capacity of Physical Layer over κ−μ\kappa-\muκ−μ /Gamma Composite Fading Channel
Rapid developments of the emerging wireless network applications such as 5G, IoT and device-to-device (D2D) systems raise the diversity of challenges in physical layer security (PLS). In the present work, we examine Wyner's wiretap composite multipath/shadowing fading channel model and provide analysis for PLS secrecy performance. We consider a generic single-input and single-output (SISO) system where both the main and eavesdropper channels are modeled by κ-μ /gamma composite fading channel. In particular, the lower bound of secure outage probability (SOPL) and strictly positive secrecy capacity (SPSC) are obtained in closed-form. We also conduct the analysis for average secrecy capacity (ASC) in heavy shadowing and derive analytical expression in closed-form.
In this study, the secrecy performance of physical layer when both the main and wiretap channels undergo shadowed fading conditions is analysed. In particular, the average secrecy capacity, secure outage probability (SOP), the lower bound of SOP (SOP ), and the probability of strictly positive secrecy capacity are derived by using the classic Wyner's wiretap model. Two different scenarios for the fading parameters, namely, and m , which represent the real extension of the number of the multipath clusters and the shadowing index, respectively, have been studied. These parameters are chosen first as arbitrary numbers, thus the performance metrics are given in exact closed‐form in terms of the extended generalised bivariate Fox's H ‐function that has been widely implemented in the open literature using various software packages. In the second scenario, both the fading parameters are assumed to be integer numbers to obtain the derived results in simple exact closed‐form mathematically tractable expressions in terms of some analytic functions. The numerical results of this analysis are verified via the Monte Carlo simulations.
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.
On Physical Layer Security of α\alphaα -η\etaη -κ\kappaκ -μ\muμ Fading Channels
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.