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Asilomar Conference on Signals, Systems and Computers (ACSSC)

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

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

Published Jan 1, 2009• 68 citations
Publisher

Abstract

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.

DOI
10.1109/acssc.2009.5469979

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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.
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.
In this paper, we consider an independent and identically distributed Nakagami-q fading single-input multiple-output (SIMO) channel, where the transmitter sends some confidential message to the legitimate receiver in the presence of an eavesdropper. Both the receiver and the eavesdropper have multiple antennas. We formulated the probability of non-zero secrecy mutual information, secure outage probability, and ergodic secrecy mutual information for the SIMO wireless communication system. The calculations have been carried out using small limit argument approximation on zeroth-order modified Bessel function of first kind. This approximation provides decent results in the low signal-to-noise-ratio (SNR) regime. In the low-SNR regime, either the transmission power is small or the bandwidth is large. In either case, it is difficult for an eavesdropper to detect the signals in this regime. We present that in the presence of fading, positive secrecy mutual information is achievable even when the eavesdropper has better SNR than the main channel. We also found in our work that at low-SNR regime, the effect of number of eavesdropper's channel on average secrecy mutual information is almost negligible.
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.
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 consider the problem of secret communication over Nakagami-m fading multiple-input single-output (MISO) channel, where a single transmitter sends a common and confidential message to a group of receivers in the presence of an eavesdropper. We are interested in protecting this message from eavesdropping. At first, we define the secrecy multicast capacity for a K-receiver multicast channel at which the eavesdropper is unable to decode any information from the multicast channels and find the analytical expression for the lower bound of average secrecy multicast capacity. Then, we define the secrecy multicast capacity in terms of secure outage probability, and find the analytical expressions for the probability of non-zero secrecy multicast capacity and secure outage probability to study the outage behavior of the proposed model.