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

ICT Express

Generalized MGF-based secrecy outage performance analysis over fading channels using mixture gamma distribution

Jinu Gong, Joonhyuk Kang

Published Sep 6, 2022• 4 citations
Publisher

Abstract

This paper proposes a novel method to provide secrecy outage performance in various fading environments using a mixture gamma (MG) distribution, which is well known to approximate numerous fading channel models. First, we derive the generalized moment generating function (G-MGF) and incomplete G-MGF (IG-MGF) of the MG distribution. Then, by applying those formulas, we obtain the exact and asymptotic expressions of the secrecy outage probability along with the corresponding lower bound and probability of the strictly positive secrecy capacity for various fading scenarios. Finally, the accuracy and effectiveness of all derived formulas are verified through extensive numerical experiments.

DOI
10.1016/j.icte.2022.08.010

Related papers

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

Hongjiang Lei, Huan Zhang, Imran Shafique Ansari +4 more

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.

IEEE Communications Letters•Dec 1, 2015•119 citations

On the outage probability of secrecy capacity in arbitrarily-distributed fading channels

Juan Manuel Romero Jerez, Gerardo Gómez, F. Javier López‐Martínez

We present a general and compact framework for the analysis of the wireless information-theoretic security of arbitrarily-distributed fading channels. We show that performance metrics such as the outage probability of the secrecy capacity, the probability of strictly positive secrecy capacity and the e-outage secrecy capacity can be compactly expressed in terms of the moment generating function (MGF) of the fading models. Using this approach, we can study the effect of considering different propagation conditions for the legitimate and eavesdropper's fading links, which accommodate to many practical scenarios.

European Wireless Conference•May 20, 2015•11 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

Security Performance Analysis of SIMO Generalized-K Fading Channels Using a Mixture Gamma Distribution

Hongjiang Lei, Imran Shafique Ansari, Huan Zhang +2 more

In this work, we consider the transmission of confidential message through independent and identically distributed generalized-K fading single-input multiple-output (SIMO) channels in the presence of an eavesdropper. The security performance of SIMO generalized-K systems are investigated using a mixture gamma (MG) distribution, and the analytical expressions for the average secrecy capacity (ASC) and the secure outage probability (SOP) of SIMO systems are derived. Numerical results are presented and verified via Monte-Carlo simulations.

IEEE Vehicular Technology Conference•Sep 1, 2016•7 citations

Physical Layer Security Over Mixture Gamma Distributed Fading Channels With Discrete Inputs: A Unified and General Analytical Framework

Chongjun Ouyang, Sheng Yi Wu, Chunxiao Jiang +2 more

Physical layer security is investigated over mixture Gamma (MG) distributed fading channels with discrete inputs. By the Gaussian quadrature rules, closed-form expressions are derived to characterize the average secrecy rate (ASR) and secrecy outage probability (SOP), whose accuracy is validated by numerical simulations. To show more properties of the finite-alphabet signaling, we perform an asymptotic analysis on the secrecy metrics in the large limit of the average signal-to-noise ratio (SNR) of the main channel. Leveraging the Mellin transform, we find that the ASR and SOP converge to some constants as the average SNR increases and we derive novel expressions to characterize the rates of convergence. This work establishes a unified and general analytical framework for the secrecy performance achieved by discrete inputs.

arXiv:2009.09415•IEEE Communications Letters•Sep 22, 2020•11 citations

Secrecy Analysis Over Correlated Generalized Gamma Fading Channels

Youssef M. Eldokmak, Mahmoud H. Ismail, Mohamed S. Hassan

In this paper, we analyze the secrecy performance assuming correlated generalized gamma fading for the legitimate and eavesdropper channels. Specifically, we derive expressions for the probability of non-zero secrecy capacity, a lower bound on the secrecy outage probability and the average secrecy capacity in case of high signal-to-noise ratio (SNR). Monte Carlo simulations were then run verifying the accuracy of our analysis.

International Conference on Communications, Signal Processing, and their Applications (ICCSPA)•Dec 27, 2022•7 citations
This paper proposes a novel method to provide secrecy outage performance in various fading environments using a mixture gamma (MG) distribution, which is well known to approximate numerous fading channel models. First, we derive the generalized moment generating function (G-MGF) and incomplete G-MGF (IG-MGF) of the MG distribution. Then, by applying those formulas, we obtain the exact and asymptotic expressions of the secrecy outage probability along with the corresponding lower bound and probability of the strictly positive secrecy capacity for various fading scenarios. Finally, the accuracy and effectiveness of all derived formulas are verified through extensive numerical experiments.
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.
We present a general and compact framework for the analysis of the wireless information-theoretic security of arbitrarily-distributed fading channels. We show that performance metrics such as the outage probability of the secrecy capacity, the probability of strictly positive secrecy capacity and the e-outage secrecy capacity can be compactly expressed in terms of the moment generating function (MGF) of the fading models. Using this approach, we can study the effect of considering different propagation conditions for the legitimate and eavesdropper's fading links, which accommodate to many practical scenarios.
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.
In this work, we consider the transmission of confidential message through independent and identically distributed generalized-K fading single-input multiple-output (SIMO) channels in the presence of an eavesdropper. The security performance of SIMO generalized-K systems are investigated using a mixture gamma (MG) distribution, and the analytical expressions for the average secrecy capacity (ASC) and the secure outage probability (SOP) of SIMO systems are derived. Numerical results are presented and verified via Monte-Carlo simulations.
Physical layer security is investigated over mixture Gamma (MG) distributed fading channels with discrete inputs. By the Gaussian quadrature rules, closed-form expressions are derived to characterize the average secrecy rate (ASR) and secrecy outage probability (SOP), whose accuracy is validated by numerical simulations. To show more properties of the finite-alphabet signaling, we perform an asymptotic analysis on the secrecy metrics in the large limit of the average signal-to-noise ratio (SNR) of the main channel. Leveraging the Mellin transform, we find that the ASR and SOP converge to some constants as the average SNR increases and we derive novel expressions to characterize the rates of convergence. This work establishes a unified and general analytical framework for the secrecy performance achieved by discrete inputs.