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IEEE International Symposium on Information Theory (ISIT)

On the Secrecy Capacity of Fading Wireless Channel with Multiple Eavesdroppers

Peiya Wang, Guanding Yu, Zhaoyang Zhang

Published Jun 1, 2007• 96 citations
Publisher

Abstract

This paper studies the secrecy capacity of fading wireless channel in presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. We first generalize the work in (J. Barros and M.R.D. Rodrigues, 2006) into multiple-eavesdropper case and investigate the secrecy capacity in terms of outage probability and outage capacity. We show that the results presented in (J. Barros and M.R.D. Rodrigues, 2006)serves as some special cases of our works. We also characterize the ergodic secrecy capacity of fading wireless channel with multiple eavesdroppers. Our work gives the analytical results of secrecy capacity with different number of eavesdroppers.This paper studies the secrecy capacity of fading wireless channel in presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. We first generalize the work in (J. Barros and M.R.D. Rodrigues, 2006) into multiple-eavesdropper case and investigate the secrecy capacity in terms of outage probability and outage capacity. We show that the results presented in (J. Barros and M.R.D. Rodrigues, 2006) serves as some special cases of our works. We also characterize the ergodic secrecy capacity of fading wireless channel with multiple eavesdroppers. Our work gives the analytical results of secrecy capacity with different number of eavesdroppers.

DOI
10.1109/isit.2007.4557128

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This paper studies the secrecy capacity of fading wireless channel in presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. We first generalize the work in (J. Barros and M.R.D. Rodrigues, 2006) into multiple-eavesdropper case and investigate the secrecy capacity in terms of outage probability and outage capacity. We show that the results presented in (J. Barros and M.R.D. Rodrigues, 2006)serves as some special cases of our works. We also characterize the ergodic secrecy capacity of fading wireless channel with multiple eavesdroppers. Our work gives the analytical results of secrecy capacity with different number of eavesdroppers.This paper studies the secrecy capacity of fading wireless channel in presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. We first generalize the work in (J. Barros and M.R.D. Rodrigues, 2006) into multiple-eavesdropper case and investigate the secrecy capacity in terms of outage probability and outage capacity. We show that the results presented in (J. Barros and M.R.D. Rodrigues, 2006) serves as some special cases of our works. We also characterize the ergodic secrecy capacity of fading wireless channel with multiple eavesdroppers. Our work gives the analytical results of secrecy capacity with different number of eavesdroppers.
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.
We consider the transmission of confidential data over wireless channels with multiple communicating parties. Based on an information-theoretic problem formulation in which two legitimate partners communicate over a quasi-static fading channel and an eavesdropper observes their transmissions through another independent quasi-static fading channel, we define the secrecy capacity in terms of outage probability and provide a complete characterization of the maximum transmission rate at which the eavesdropper is unable to decode any information. In sharp contrast with known results for Gaussian wiretap channels (without feedback), our contribution shows that in the presence of fading information-theoretic security is achievable even when the eavesdropper has a better average signal-to-noise ratio (SNR) than the legitimate receiver - fading thus turns out to be a friend and not a foe.
In this paper, we consider the transmission of confidential message through Weibull fading single-input single-output (SISO) channel in the presence of multiple eavesdroppers. At first, we define perfect secrecy capacity in terms of secure outage probability and provide a complete characterization of the maximum transmission rate at which the eavesdroppers are unable to decode any information. Then, we find the average secrecy capacity for multicasting in the presence of multiple eavesdroppers. Finally, we find the closed-form expression for the secure outage probability to investigate the secure outage performance of Weibull fading SISO channel in the presence of multiple eavesdroppers and simulated ergodic secrecy multicast capacity for different fading parameters to observe the effect of diversity on the fading parameter.
In this paper, a wireless multicast scenario is considered in which the transmitter sends a common message to multiple client receivers in the presence of an eavesdropper. We are interested in protecting this common message against eavesdropping. Based on an information-theoretic formulation of the problem, in which the transmitter and the mutually independent multiple client receivers communicate over quasi-static Rayleigh fading channels and an eavesdropper observes their transmissions through another quasi-static Rayleigh fading channel, we define the secrecy-sum capacity in terms of secure outage probability. Moreover, we also present a formulation of ergodic perfect secrecy multicast capacity at which the eavesdropper is unable to decode any information.
The wiretap channel model in a wireless scenario is analyzed where there is a transmitter, multiple legitimate receivers, non-colluding and colluding eavesdroppers; each of them is equipped with one antenna. Furthermore, all the channels are mutually independent and experiencing quasi-static Nakagami-m fading. We derive closed-form expressions for the exact secrecy outage probability as well as the average secrecy capacity with both non-colluding and colluding eavesdroppers. Such performance metrics are used to analyze the impacts of the number of receivers and eavesdroppers on the system. Remarkably, our results reveal that, for non-colluding eavesdroppers, increasing the number of users will cause greater secrecy degradation than the number of eavesdroppers, especially when the main channel is far superior to the wiretap channel or the value of the fading parameter is high. And for the colluding case, it turns out to be the opposite.
In the group-oriented applications such as military and commercial wireless cellular networks often require the same data to be conveyed to multiple users simultaneously. This technique is usually referred to as physical layer multicasting. In this paper, we are interested in protecting these data from eavesdropping. Here, we consider the transmission of confidential data through slow fading channels in the presence of single as well as multiple eavesdroppers. We define the perfect secrecy multicast mutual information in terms of secure outage probability for three different scenarios of secure wireless multicasting and provide a complete characterization of the maximum transmission rate at which the eavesdropper/eavesdroppers is/are unable to decode any information. We also present the average secrecy mutual information for multicasting in the presence of multiple eavesdroppers.