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 International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)

Secrecy outage in correlated Nakagami-m fading channels

Weigang Liu, Satyanarayana Vuppala, Giuseppe Thadeu Freitas de Abreu, Tharmalingam Ratnarajah

Published Sep 1, 2014• 13 citations
Publisher

Abstract

Correlation between the legitimate receiver and the eavesdropper has been seldom considered in the literature when evaluating secrecy metrics in stochastic wireless networks. In practice, however, poor scattering conditions may lead to spatially correlated channels, which can be exploited by eavesdroppers. In this paper we investigate the connection outage and secrecy outage in Poisson-distributed random networks under Nakagami-m fading and mutually correlated legitimate and eavesdropping channels. Numerical results show that correlated fading has an important effect on security, which may be either beneficial or harmful, depending on the secrecy outage constraints.

DOI
10.1109/pimrc.2014.7136149

Related papers

Secrecy outage of Nakagami-m MISO channels with randomly located receivers

Satyanarayana Vuppala, Weigang Liu, Giuseppe Thadeu Freitas de Abreu +1 more

We perform an analysis of the secrecy outage of random networks under Nakagami-m fading with multiple transmit antennas. Specifically, using a network model that accounts for uncertainties both in node locations (distances) and channel coefficients (fading), we derive the distribution of the best path gain of eavesdroppers using Probability Generating Functional property of Poisson Point Process (PPP). Using this result, the secrecy outage probability and the conditional secrecy outage probability of random networks with multiple eavesdroppers are obtained, with basic factors such as the density of eavesdropping nodes, the number of transmit antennas and the fading coefficient all accounted for by explicit parameters. The impact of transmission factors, including number of transmit antennas, fading figure, legitimate node distance and node density are studied and analysed in numerical results.

International Conference on Communications•Jun 1, 2015•2 citations

Secrecy Outage Analysis Over Correlated Composite Nakagami- mmm /Gamma Fading Channels

George C. Alexandropoulos, Kostas P. Peppas

The secrecy systems operating over spatially correlated composite fading channels is analyzed in this letter. We adopt a multiplicative composite channel model for both the legitimate communication link and the link between the eavesdropper and the legitimate transmitter, consisting of Nakagami-m distributed small-scale fading and shadowing (large-scale fading) modeled by the Gamma distribution. We consider the realistic case where small-scale fading between the links is independent, but shadowing is arbitrarily correlated, and present novel analytical expressions for the probability that the secrecy capacity falls below a target secrecy rate. The presented numerically evaluated results, verified by equivalent computer simulations, offer useful insights on the impact of the shadowing correlation and composite fading parameters on the system's secrecy outage performance.

arXiv:1710.01192•IEEE Communications Letters•Oct 6, 2017•80 citations

Secrecy capacity of a Nakagami-m fading channel in the presence of cooperative eavesdroppers

Souad Belmoubarik, Ghassane Aniba, Belhaj Elgraini

Physical layer security helps enormously cryptography to improve the confidentiality of communications over wireless networks. Indeed, the secrecy capacity is used at the physical layer to ensure not only the security of communications but also to exploit efficiently the channel capacity. The principle of secrecy capacity is to characterize the maximum data transmission rate, that can be reached while the exchanged information is kept secret from a malicious entity. In this paper, we present a closed-form expression of outage probability and we specify the outage secrecy capacity of a Nakagami-m fading channel in the presence of cooperative correlated eavesdroppers performing the maximal ratio combining which helps the eavesdroppers to tap the maximum of the exchanged information between the transmitter and the legitimate receiver. Simulations results show that a raise in the number of the cooperative eavesdroppers degrades significantly the secrecy capacity of this communication system, moreover the correlation degree between the eavesdroppers has a negative impact on the communication confidentiality especially when it takes small values.

Mediterranean Microwave Symposium•Dec 1, 2014•8 citations

Secrecy capacity of Nakagami-m fading wireless channels in the presence of multiple eavesdroppers

Md. Zahurul I. Sarkar, Tharmalingam Ratnarajah, Mathini Sellathurai

This paper is concerned with the transmission of confidential message through Nakagami-m fading wireless channel in the presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. Considering the problem of secret communications between two nodes over Nakagami-m fading channel where a number of eavesdroppers observes their transmissions through other Nakagami-m fading channels, we characterize the probability of non-zero secrecy capacity and secure outage probability to investigate the secrecy capacity in terms of secure outage probability. We also present a formulation of the ergodic secrecy capacity in the presence of multiple eavesdroppers.

Asilomar Conference on Signals, Systems and Computers (ACSSC)•Jan 1, 2009•68 citations

On the Secrecy Mutual Information of Nakagami-m Fading SIMO Channel

M. Z. I. Sarkar, Tharmalingam Ratnarajah

In this paper, we consider the transmission of confidential message through non-identically and identically independent Nakagami-m fading single-input multiple-output (SIMO) channel in the presence of an eavesdropper. We are interested in protecting this message against eavesdropping i.e. the information is secure if it cannot be eavesdropped by any eavesdropper. Based on the problem of secure communications between transmitter and intended receiver over Nakagami-m fading channel where an eavesdropper observes their transmissions through another Nakagami-m fading channel, we derive the analytical expressions for the probability of non-zero secrecy mutual information, secure outage probability and ergodic secrecy mutual information of SIMO wireless communication systems over non-identically and identically independent Nakagami-m fading subchannels. Numerical results are presented and verified via Monte-Carlo simulation.

International Conference on Communications•May 1, 2010•20 citations

Analysis of secure unicast links in stochastic wireless networks

Satyanaranaya Vuppala, Giuseppe Thadeu Freitas de Abreu

We analyze the effect of fading onto the probability of non-zero secrecy capacity, denoted Pr{Cs:i> 0}, in stochastic wireless random networks modeled as Secrecy-Graphs. Specifically, we derive expressions to characterize the probability that the secrecy capacity of a unicast channel to a legitimate node is non-zero, in the case when the channel is affected by Nakagami-m fading, and in the presence of a random (unknown) number of eavesdroppers. The results show that fading can increase the probability of finding information-theoretic secure channels in such conditions, depending on the relative density of legitimate nodes and eavesdroppers.

International Conference on Communications•Jun 1, 2013•0 citations
Correlation between the legitimate receiver and the eavesdropper has been seldom considered in the literature when evaluating secrecy metrics in stochastic wireless networks. In practice, however, poor scattering conditions may lead to spatially correlated channels, which can be exploited by eavesdroppers. In this paper we investigate the connection outage and secrecy outage in Poisson-distributed random networks under Nakagami-m fading and mutually correlated legitimate and eavesdropping channels. Numerical results show that correlated fading has an important effect on security, which may be either beneficial or harmful, depending on the secrecy outage constraints.
We perform an analysis of the secrecy outage of random networks under Nakagami-m fading with multiple transmit antennas. Specifically, using a network model that accounts for uncertainties both in node locations (distances) and channel coefficients (fading), we derive the distribution of the best path gain of eavesdroppers using Probability Generating Functional property of Poisson Point Process (PPP). Using this result, the secrecy outage probability and the conditional secrecy outage probability of random networks with multiple eavesdroppers are obtained, with basic factors such as the density of eavesdropping nodes, the number of transmit antennas and the fading coefficient all accounted for by explicit parameters. The impact of transmission factors, including number of transmit antennas, fading figure, legitimate node distance and node density are studied and analysed in numerical results.
The secrecy systems operating over spatially correlated composite fading channels is analyzed in this letter. We adopt a multiplicative composite channel model for both the legitimate communication link and the link between the eavesdropper and the legitimate transmitter, consisting of Nakagami-m distributed small-scale fading and shadowing (large-scale fading) modeled by the Gamma distribution. We consider the realistic case where small-scale fading between the links is independent, but shadowing is arbitrarily correlated, and present novel analytical expressions for the probability that the secrecy capacity falls below a target secrecy rate. The presented numerically evaluated results, verified by equivalent computer simulations, offer useful insights on the impact of the shadowing correlation and composite fading parameters on the system's secrecy outage performance.
Physical layer security helps enormously cryptography to improve the confidentiality of communications over wireless networks. Indeed, the secrecy capacity is used at the physical layer to ensure not only the security of communications but also to exploit efficiently the channel capacity. The principle of secrecy capacity is to characterize the maximum data transmission rate, that can be reached while the exchanged information is kept secret from a malicious entity. In this paper, we present a closed-form expression of outage probability and we specify the outage secrecy capacity of a Nakagami-m fading channel in the presence of cooperative correlated eavesdroppers performing the maximal ratio combining which helps the eavesdroppers to tap the maximum of the exchanged information between the transmitter and the legitimate receiver. Simulations results show that a raise in the number of the cooperative eavesdroppers degrades significantly the secrecy capacity of this communication system, moreover the correlation degree between the eavesdroppers has a negative impact on the communication confidentiality especially when it takes small values.
This paper is concerned with the transmission of confidential message through Nakagami-m fading wireless channel in the presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. Considering the problem of secret communications between two nodes over Nakagami-m fading channel where a number of eavesdroppers observes their transmissions through other Nakagami-m fading channels, we characterize the probability of non-zero secrecy capacity and secure outage probability to investigate the secrecy capacity in terms of secure outage probability. We also present a formulation of the ergodic secrecy capacity in the presence of multiple eavesdroppers.
In this paper, we consider the transmission of confidential message through non-identically and identically independent Nakagami-m fading single-input multiple-output (SIMO) channel in the presence of an eavesdropper. We are interested in protecting this message against eavesdropping i.e. the information is secure if it cannot be eavesdropped by any eavesdropper. Based on the problem of secure communications between transmitter and intended receiver over Nakagami-m fading channel where an eavesdropper observes their transmissions through another Nakagami-m fading channel, we derive the analytical expressions for the probability of non-zero secrecy mutual information, secure outage probability and ergodic secrecy mutual information of SIMO wireless communication systems over non-identically and identically independent Nakagami-m fading subchannels. Numerical results are presented and verified via Monte-Carlo simulation.
We analyze the effect of fading onto the probability of non-zero secrecy capacity, denoted Pr{Cs:i> 0}, in stochastic wireless random networks modeled as Secrecy-Graphs. Specifically, we derive expressions to characterize the probability that the secrecy capacity of a unicast channel to a legitimate node is non-zero, in the case when the channel is affected by Nakagami-m fading, and in the presence of a random (unknown) number of eavesdroppers. The results show that fading can increase the probability of finding information-theoretic secure channels in such conditions, depending on the relative density of legitimate nodes and eavesdroppers.