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).
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 paper, we consider the transmission of confidential information over a κ-μ fading channel in the presence of an eavesdropper who also experiences κ-μ fading. In particular, we obtain novel analytical solutions for the probability of strictly positive secrecy capacity (SPSC) and a lower bound of secure outage probability (SOPL) for independent and non-identically distributed channel coefficients without parameter constraints. We also provide a closed-form expression for the probability of SPSC when the μ parameter is assumed to take positive integer values. Monte-Carlo simulations are performed to verify the derived results. The versatility of the κ-μ fading model means that the results presented in this paper can be used to determine the probability of SPSC and SOPL for a large number of other fading scenarios, such as Rayleigh, Rice (Nakagamin), Nakagami-m, One-Sided Gaussian, and mixtures of these common fading models. In addition, due to the duality of the analysis of secrecy capacity and co-channel interference (CCI), the results presented here will have immediate applicability in the analysis of outage probability in wireless systems affected by CCI and background noise (BN). To demonstrate the efficacy of the novel formulations proposed here, we use the derived equations to provide a useful insight into the probability of SPSC and SOPL for a range of emerging wireless applications, such as cellular device-to-device, peer-to-peer, vehicle-to-vehicle, and body centric communications using data obtained from real channel measurements.
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.
In this paper, we consider the transmission of confidential information over an α-μ and a κ-μ fading channel in the presence of an eavesdropper who experiences κ-μ and α-μ fading, respectively. In particular, we derive novel analytical expressions for the probability of strictly positive secrecy capacity (SPSC) and a lower bound on secrecy outage probability (SOPL) for independent and non-identically distributed (i.n.i.d.) channel coefficients. These results have been validated through simulations and reduction to known special cases. These new, very general formulations, are important as they bring together previously non-unified secrecy capacity and secrecy outage probabilities (SOP) such as those involving α-μ, Nakagami-m, Rayleigh, OneSided Gaussian, Weibull, Negative Exponential with κ-μ and Rice. Additionally, due to the duality of analysis of secrecy capacity and co-channel interference (CCI), the results presented here will also have immediate applicability in the analysis of outage probability in wireless systems affected by CCI and background noise for the aforementioned fading scenarios.
Secrecy Analysis of Physical Layer over κ−μ Shadowed Fading Scenarios
In this paper, the secrecy analysis of physical layer when both the main and wiretap channels undergo κ−μ shadowed fading channel is investigated. In particular, the average secrecy capacity (ASC), secure outage probability (SOP), the lower bound of SOP (SOPL), and the probability of strictly positive secrecy capacity (SPSC) are derived by using the classic Wyner's wiretap model. Two different scenarios for the fading parameters, i.e., μ and m which represents the shadowing impact have been studied. These parameters are chosen first as arbitrary numbers, thus the performance metrics are expressed in single infinite series with multivariate Meijer G-function. In the second scenario, both the aforementioned fading parameters are assumed to be integer numbers in order to obtain the derived results in simple exact closed-form analytic mathematically tractable expressions. The numerical results of this analysis are verified via Monte Carlo 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.
In this paper, the physical layer security over the M-distributed fading channel is investigated. Initially, an exact expression of secrecy outage probability (SOP) is derived, which has an integral term. To get a closed-form expression, a lower bound of SOP is obtained. After that, the exact expression for the probability of strictly positive secrecy capacity (SPSC) is derived, which is in closed-form. Finally, an exact expression of ergodic secrecy capacity (ESC) is derived, which has two integral terms. To reduce its computational complexity, a closed-from expression for the lower bound of ESC is obtained. As special cases of M-distributed fading channels, the secure performance of the K, exponential, and Gamma-Gamma fading channels are also derived, respectively. Numerical results show that all theoretical results match well with Monte-Carlo simulation results. Specifically, when the average signal-to-noise ratio of main channel is larger than 40 dB, the relative errors for the lower bound of SOP, the probability of SPSC, and the lower bound of ESC are less than 1.936%, 6.753%, and 1.845%, respectively. This indicates that the derived theoretical expressions can be directly used to evaluate system performance without time-consuming simulations. Moreover, the derived results regarding parameters that influence the secrecy performance will enable system designers to quickly determine the optimal available parameter choices when facing different security risks.