Performance Analysis of Physical-Layer Security Over Fluctuating Beckmann Fading Channels

Abstract

In this paper, we analyse the performance of physical layer security over Fluctuating Beckmann (FB) fading channel which is an extended model of both the κ − µ shadowed and the classical Beckmann distributions.Specifically, the average secrecy capacity (ASC), secure outage probability (SOP), the lower bound of SOP (SOP L ), and the probability of strictly positive secrecy capacity (SPSC) are derived in exact closed-form expressions using two different values of the fading parameters, namely, m and µ which represent the multipath and shadowing severity impacts, respectively. Firstly, when the fading parameters are arbitrary values, the performance metrics are derived in exact closed-form in terms of the extended generalised bivariate Fox's H-function (EGBFHF) that has been widely implemented in the open literature. In the second case, to obtain simple mathematically tractable expressions in terms of analytic functions as well as to gain more insight on the behaviour of the physical layer security over Fluctuating Beckmann fading channel models, m and µ are assumed to be integer and even numbers, respectively. The numerical results of this analysis are verified via Monte Carlo simulations. Index TermsFluctuating Beckmann fading channel, average secrecy capacity, secure outage probability, probability of strictly positive secrecy capacity.to the additive white Gaussian noise (AWGN) and Rayleigh fading channel are given in [2] and [3], respectively. In [4], the SPSC when both the main and eavesdropper channels undergo Rician fading channel is derived. The SOP and the SPSC of the physical layer using Rician and Nakagami-m fading conditions for the Bob and the eavesdropper wireless channels are given in [5]. The Weibull fading channel model is used in [6] and [7] to study the SPSC and ASC, respectively.Recently, many works have been implemented using various generalized fading distributions that unify most of the well-known channel models. In addition, they provide results closer to the practical data than the conventional distributions, namely, Rayleigh, Nakagami-m, and Nakagami-n. In [8], the ASC over κ − µ fading channel that is used to model the line-of-sight (LoS) communication environment is derived. The performance of the physical layer security in non-linear communication scenario is analysed in [9] and [10] via utilising the α − µ fading condition. Moreover, the ASC, the SOP, the SOP L , and the SPSC of the physical layer over α − µ fading using the Fox's H-function channel model which is a unified framework for a variety of distributions are presented in [11]. The ASC using the κ − µ/α − µ and α − µ/κ − µ fading scenarios for the main/eavesdropper channels is given in [12]. The more generalised fading channels α − κ − µ and α − η − µ are used in [13] to derive the SOP L and its asymptotic value. These fading distributions are provided in a single model which is α − η − κ − µ that is also used to represent both the main channel and the eavesdropper's channel of the classic Wyner's wiretap model in [14].The wi...

Physical Layer Security Performance Analysis of Hybrid FSO/RF Communication System

“…By plugging (38) and (39) into 37, we have the final expression of the as provided in (16) which completes the proof.…”

“…This security metric is defined as the probability that the security capacity falls below a predetermined information transmission rate ℛ of the system [39]. In this case, the capacity of the main channel is lower than that of the wiretap channel which leads to the system being security outage.…”

“…The SPSC [39], which refers to the probability of positive secrecy capacity, is a crucial criterion for secure communications. Therefore, it can be determined by [39, eq.…”

“…For the colluding eavesdropping case, ∞ is indicating here as ∞ and can be calculated by plugging (9) and (13) in (17) and follow a similar rationale as in (36)- (39) to derive the expression, as…”

On the Performance Analysis of Switched Diversity Combining Receivers over Fisher–Snedecor ℱ Composite Fading Channels

“…Compared to the well-known generalized K composite fading model, this model not only provides more tractable and simpler mathematical formulations of the statistical characteristics but also shows a better fit to experimental channel measurements in some emerging wireless communications applications, for example device-to-device communications and wireless body area networks. As a result, a good deal of research work has been done based on the Fisher–Snedecor composite fading channel model, such as [ 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 ] and references therein. By applying the diversity combining schemes, the authors in [ 34 ] analyzed the performance of the MRC system over independent and non-identically distributed (i.n.i.d.)…”