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IEEE International Carnahan Conference on Security Technology (ICCST)

Ergodic Secrecy Capacity in Nakagami-m Fading Channels

Shilpa Thakur, Ajay Singh

Published Oct 1, 2019• 3 citations
Publisher

Abstract

In this paper, multiple-input-multiple-output wireless communication network is considered: with a base station Alice having multiple antennas, one desired information receiver Bob and one eavesdropper with multiple antennas. A closed-form mathematical expression for the ergodic secrecy capacity under Nakagami-m Fading Channels is derived. The derived expression highlights the variation of the ergodic secrecy capacity with number of antennas in Bob and Nakagami-m pararmeter, which is depicted with numerical analysis.

DOI
10.1109/ccst.2019.8888440

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In this paper, multiple-input-multiple-output wireless communication network is considered: with a base station Alice having multiple antennas, one desired information receiver Bob and one eavesdropper with multiple antennas. A closed-form mathematical expression for the ergodic secrecy capacity under Nakagami-m Fading Channels is derived. The derived expression highlights the variation of the ergodic secrecy capacity with number of antennas in Bob and Nakagami-m pararmeter, which is depicted with numerical analysis.
Nakagami-m fading channel is chosen to analyze the secrecy capacity for fading channels since the Nakagami-m distribution can model fading conditions, which are more or less severe than that of Rayleigh and has the advantage of including Rayleigh as a special case. At first, secrecy capacity is defined in case of full channel state information (CSI) at the transmitter, where transmitter has access to both the main channel and eavesdropper channel gains. Secondly, secrecy capacity is defined with only main channel CSI at the transmitter. Then, optimal power allocation at the transmitter that achieves the secrecy capacity is derived for both the cases. Moreover, secrecy capacity is defined under open-loop transmission scheme, and the exact closed form analytical expression for the lower bound of ergodic secrecy capacity is derived for Nakagami-m fading single-input multiple-output (SIMO) channel. In addition, secrecy capacity is defined for the AWGN channel in order to realize the information-theoretic security of wireless channels with no fading. Finally, analytical expressions for the probability of non-zero secrecy capacity and secure outage probability are derived in order to investigate the secure outage performance of fading channels.
In this paper, we consider the problem of transmission of sensitive message in wireless multicast cellular network through identically distributed Nakagami-m fading multiple-input multiple-output (MIMO) channels considering the existence of multiple eavesdroppers. It is assumed that the antennas in the destinations and eavesdroppers are exponentially correlated. Considering channel state information (CSI) at the receiver, the closed-form analytical expressions for the ergodic secrecy multicast capacity (ESMC) and the probability of non zero secrecy multicast capacity (PNSMC) have been derived to investigate the effect of correlation and fading parameter on the proposed model. Numerical results of the derived analytical expressions are presented and demonstrated using Monte-Carlo simulation.
In a multiple antenna network, correlation among the antennas tends to reduce the system capacity. In this paper, the effect of correlation on the secrecy performance over η - μ fading channel has been analyzed considering a multicast network in the presence of multiple eavesdroppers. Simple closed-form analytical expressions of the ergodic secrecy multicast capacity and the secure outage probability for multicasting are derived to numerically quantify the effect of correlation. The consequence of changing the number of receiving antennas on correlation has been observed and the secrecy performance of some commonly used channels like Gaussian channel, Rayleigh and Nakagami- m fading channels which can be found as a special case of the η - μ fading channel, have also been investigated. The derived expressions are finally verified through Monte-Carlo simulations.
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.