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International Conference on Telecommunications and Signal Processing (TSP)

Secrecy Performance Analysis Over Double Nakagami-m Fading Channels

Serdar Özgür Ata

Published Jul 1, 2018• 11 citations
Publisher

Abstract

Next-generation wireless communication systems with high user mobility inherit cascaded fading channel models, where the fading effects are more severe than classical channel models including Rayleigh and Nakagami-m. In this study, physical layer secrecy/security performance analysis has been investigated over double Nakagami-m fading channels. While analytic results are derived, the closed-form expression of the probability of positive secrecy capacity is obtained, then the exact secrecy outage probability is obtained in the closed-form. Furthermore, computer simulations are given to verify the analytic results.

DOI
10.1109/tsp.2018.8441332

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Next-generation wireless communication systems with high user mobility inherit cascaded fading channel models, where the fading effects are more severe than classical channel models including Rayleigh and Nakagami-m. In this study, physical layer secrecy/security performance analysis has been investigated over double Nakagami-m fading channels. While analytic results are derived, the closed-form expression of the probability of positive secrecy capacity is obtained, then the exact secrecy outage probability is obtained in the closed-form. Furthermore, computer simulations are given to verify the analytic results.
In this letter, physical layer secrecy/security performance analysis has been investigated over cascaded fading channels where the fading effects are worse than those in the cellular communication channels like Rayleigh and Nakagami-m. Analytic results are derived for the double Rayleigh fading channel model. As the analysis are evaluated, first the closed-form expression of the probability of the positive secrecy capacity is obtained, then the exact secrecy outage probability is obtained in the closed-form. Finally, the analytic results are verified by comparing with the computer simulations.
In this study, the authors investigate the secrecy performance at the physical layer of wireless communication systems where the channels are modelled as cascaded fading channels, in which the fading effects are worse than those in the cellular communication channels like Rayleigh and Nakagami‐ m . Analytic results are derived for the cascaded Nakagami‐ m fading channel model comprising the cascaded Rayleigh, 2*Nakagami‐ m , the generalised‐ K , and the conventional cellular channel models as well. By evaluating the information‐theoretic physical layer security performance, they obtain the closed‐form expressions of the average secrecy capacity and probability of the positive secrecy capacity in case of that channel‐state‐information of the eavesdropper is known by the source. Then they obtain the exact closed‐form secrecy outage probability (SOP) when the eavesdropper is passive. Analytic results are computed in terms of the bivariate and univariate Meijer's G functions and later on are successfully validated through Monte Carlo simulations. The simulation results show that the secrecy performance worsens with the increasing cascading degree of the fading channels. For example, in 2*Nakagami‐ m fading channels where the cascading degree is 2, extra 4 dB signal‐to‐noise ratio is required to achieve the same SOP value in comparison with the classical Nakagami‐ m fading channels.
With fast growth of wireless services, there is a need to investigate the performance of a confidential communication through the wireless fading channel. In this work, a study is conducted on the secrecy outage performance of wireless system operating over N*Nakagami cascaded fading channel. First, the secrecy outage probability (SOP) and the probability of strictly positive secrecy capacity (SPSC)are derived in closed-form using Meijer-G function with single eavesdropper. To extend the discussion to multi eavesdroppers’ scenario, the case of two eavesdroppers areconsidered. In particular, SOP and SPSC are derived in closed-form expressions using the extended generalized bivariate Miejer-G function (EGBMGF).
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.
Recently, many works have focused on analysing the metrics of physical layer security over different wireless channels such as additive white Gaussian noise, Rayleigh, Rician and Nakagami‐ m fading distributions. To extend the analysis to the general case, the α – μ fading channel is considered, which can span the aforementioned cases. For this purpose, the physical layer security over the α – μ fading channel is presented. The closed‐form expressions for the probability of positive secrecy capacity and upper bound of the secrecy outage probability are derived. Their accuracies are assessed through comparison of theoretical analysis and simulations results.
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.