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International Conference on Electrical, Computer & Telecommunication Engineering (ICECTE)

Security Analysis in Correlated Nakagami-m Fading Channels with Diversity Combining

M. L. Akter, Mahfujul Islam Rumman, Milton Kumar Kundu, M. Z. I. Sarkar, A. S. M. Badrudduza

Published Dec 26, 2019• 3 citations
Publisher

Abstract

This paper investigates the effect of exponential antenna correlation on the secrecy performance of Nakagami-m fading correlated channels in the presence of an eavesdropper. Diversity combining techniques are imposed to reduce the effect of that exponential correlation. The closed-form analytical expressions (CFAEs) for the ergodic secrecy capacity (EGC), probability of non-zero secrecy capacity (PNZSC) and the secure outage probability(SOP) are derived to facilitate the investigation clearly. Our results show that the effect of exponential antenna correlation in Nakagami-m fading channel significantly affects the security. But the antenna diversity is the best solution to reduce that effect maintaining a tradeoff between the number of antennas and the intensity of correlation. Finally, the validity of analytical expressions are checked via Monte-Carlo simulations.

DOI
10.1109/icecte48615.2019.9303586

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This paper investigates the effect of exponential antenna correlation on the secrecy performance of Nakagami-m fading correlated channels in the presence of an eavesdropper. Diversity combining techniques are imposed to reduce the effect of that exponential correlation. The closed-form analytical expressions (CFAEs) for the ergodic secrecy capacity (EGC), probability of non-zero secrecy capacity (PNZSC) and the secure outage probability(SOP) are derived to facilitate the investigation clearly. Our results show that the effect of exponential antenna correlation in Nakagami-m fading channel significantly affects the security. But the antenna diversity is the best solution to reduce that effect maintaining a tradeoff between the number of antennas and the intensity of correlation. Finally, the validity of analytical expressions are checked via Monte-Carlo simulations.
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.
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.
We consider a confidential communication through log-normal fading channel in which a single antenna transmitter communicates with a legitimate receiver in the presence of an eavesdropper. Employing maximal ratio combining (MRC) and equal gain combining (EGC) reception schemes at the legitimate receiver and eavesdropper, we find the closed-form expressions for the secrecy parameters, namely, the probability of non-zero secrecy capacity and the asymptotic secrecy capacity in terms of channel parameters such as correlation coefficient and the diversity order. We quantify the effect of diversity and antenna correlation and investigate, how the logarithmic standard deviation influences these effects of diversity and antenna correlation on the secrecy parameters. Moreover, as a result of obtaining closed-form expressions for the secrecy parameters, it is insightful to see how the channel parameters affect the security of lognormal fading channels.
The effect of correlated fading reduces the performance gain in multi-antenna communications. Diversity combining is a well-known technique to reduce the effect of correlation. But still, it is an open problem to quantify as the diversity scheme is more efficient in enhancing the security of cellular multicast network mitigating the effects of correlation. Motivated by this issue, this paper considers a secure wireless multicasting scenario through correlated cellular networks in the presence of multiple eavesdroppers. The selection combining (SC) and switch and stay combining (SSC) techniques are considered in dual arbitrarily correlated Nakagami-m fading channels. The closed-form analytical expressions for the probability of non-zero secrecy multicast capacity and the secure outage probability for multicasting are derived to understand the insight into the effects of correlation on the SC and SSC diversity schemes and to quantify which diversity scheme is more efficient in enhancing the security of correlated multicast networks. The results show that, although the diversity gain reduces the effect of correlation, the diversity gain provided by the SC diversity scheme is more significant in mitigating the effect of correlation compared to the SSC diversity scheme. Due to the selection mechanism of SC diversity, it is more sensitive to the change of SNR of the eavesdropper’s channel compared to the case of the SSC diversity scheme.
In this paper, a confidential communication scenario is considered through composite Nakagami-m fading channel with log-normal shadowing in which a source communicates with a destination in the presence of an eavesdropper. Our study is concerned with the analysis of secrecy capacity and secure outage performance of Nakagami-m fading channel with shadowing. The performance of the proposed model is analyzed based on the closed-form expressions of the ergodic secrecy capacity, the probability of non-zero secrecy capacity and the secure outage probability using the Gauss-Hermite quadrature integration formula. Analytical results show that the shadowing effect significantly enhances the ergodic secrecy capacity of the proposed model.
In this correspondence, we consider a confidential communication through slow non-selective correlated Rayleigh fading channel, where a single antenna transmitter communicates at a pre-decided constant rate with a legitimate receiver in the presence of an eavesdropper. Both the legitimate receiver and eavesdropper are equipped with multiple antennas and employ maximal ratio combining (MRC) reception scheme. With the presence of channel diversity, we find the closed-form expressions for the probability of non-zero secrecy capacity and the outage probability of secrecy capacity in terms of channel parameters such as correlation coefficient and the ratio of main and eavesdropper channel gains that will be called average channel gain ratio (CGR). The analysis of secure outage performance with the MRC diversity scheme tells how the channel diversity enhances the secrecy capacity. We quantify the effect of antenna correlation on the probability of positive secrecy capacity and the secure outage probability. We also investigate how the target secrecy rate influences the effect of antenna correlation on the secure outage probability. Moreover, as a result of obtaining the closed-form expressions for the probability of positive secrecy capacity and the outage probability, it is insightful to see how the channel parameters affect the secure outage performance of the correlated channels.