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IET Communications

Secrecy performance analysis over cascaded fading channels

Serdar Özgür Ata

Published Oct 24, 2018• 20 citations
Publisher

Abstract

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.

DOI
10.1049/iet-com.2018.5676

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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, 2Nakagami‐ 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 2Nakagami‐ 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.
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.
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.
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).
In this study, the secrecy performance of physical layer when both the main and wiretap channels undergo shadowed fading conditions is analysed. In particular, the average secrecy capacity, secure outage probability (SOP), the lower bound of SOP (SOP ), and the probability of strictly positive secrecy capacity are derived by using the classic Wyner's wiretap model. Two different scenarios for the fading parameters, namely, and m , which represent the real extension of the number of the multipath clusters and the shadowing index, respectively, have been studied. These parameters are chosen first as arbitrary numbers, thus the performance metrics are given in exact closed‐form in terms of the extended generalised bivariate Fox's H ‐function that has been widely implemented in the open literature using various software packages. In the second scenario, both the fading parameters are assumed to be integer numbers to obtain the derived results in simple exact closed‐form mathematically tractable expressions in terms of some analytic functions. The numerical results of this analysis are verified via the Monte Carlo simulations.
In this study, the secrecy performance of the classic Wyner's wiretap model over generalised‐ K fading channels is studied. The closed‐form expressions for the average secrecy capacity, the lower bound of secure outage probability, and the probability of strictly positive secrecy capacity are derived. The new expressions provide a unified form, which can handle several of the well‐known composite fading environments as special or limiting cases. Moreover, all the derived expressions are given in terms of Meijer's G ‐function, which can be simply realised in MATLAB and MATHEMATICA. Monte‐Carlo simulations are performed to verify the proposed analysis models.
The authors investigate the secrecy performance of a cooperative relaying network, wherein a fixed source communicates with a fixed destination via an amplify‐and‐forward mobile relay in the presence of a passive mobile eavesdropper. They assume that the source‐to‐relay channel and relay‐to‐destination channel experience Nakagami‐ m fading, whereas relay‐to‐eavesdropper link follows double Nakagami‐ m fading. Under such a mixed fading environment, they derive the novel tight closed‐form expressions for the secrecy outage probability (SOP), probability of non‐zero secrecy capacity, and intercept probability of the considered system. They also deduce the asymptotic secrecy outage and intercept probability expressions in the high signal‐to‐noise ratio regime to highlight the impact of fading parameters and channel conditions on the secrecy diversity order. It is shown that the system can achieve secrecy diversity order of min( ) in terms of SOP, and in terms of intercept probability, where and represent the fading severity parameters between source and relay and between relay and destination, respectively. They also formulate and investigate analytically two optimisation problems, namely, optimal relay location with fixed power allocation and optimal power allocation with fixed relay location, to minimise the system SOP. They verify analytical findings via numerical and simulation results.