Secrecy Capacity Analysis Over $\kappa $ – $\mu $ Fading Channels: Theory and Applications

Abstract

In this paper, we consider the transmission of confidential information over a κ-µ fading channel in the presence of an eavesdropper, who also observes κ-µ fading. In particular, we obtain novel analytical solutions for the probability of strictly positive secrecy capacity (SPSC) and the lower bound of secure outage probability (SOP L ) for channel coefficients that are positive, real, independent and non-identically distributed (i.n.i.d.). We also provide a closed-form expression for the probability of SPSC when the µ parameter is assumed to only take positive integer values. We then apply the derived results to assess the secrecy performance of the system in terms of the average signal-to-noise ratio (SNR) as a function of the κ and µ fading parameters. We observed that for fixed values of the eavesdropper's average SNR, increases in the average SNR of the main channel produce a higher probability of SPSC and a lower secure outage probability (SOP). It was also found that when the main channel experiences a higher average SNR than the eavesdropper's channel, the probability of SPSC improved while the SOP was found to decrease with increasing values of κ and µ for the legitimate channel. 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 SOP L for a large number of other fading scenarios such as Rayleigh, Rice (Nakagami-n), Nakagami-m, One-Sided Gaussian and mixtures of these common fading models. Additionally, due to the duality of the analysis of secrecy capacity and co-channel interference, the results presented here will also have immediate applicability in the analysis of outage probability in wireless systems affected by co-channel interference and background noise. 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 for a range of emerging applications such as cellular device-to-device, vehicle-to-vehicle and body centric fading channels using data obtained from field measurements. Index TermsFading channels, κ − µ fading, secrecy capacity, co-channel interference, device-to-device communications, vehicular communications, body centric communications. N. Bhargav and S. L. Cotton are with the Wireless

On Physical Layer Security of Double Rayleigh Fading Channels for Vehicular Communications

“…Additionally, it has been shown that double Rayleigh distribution also fits various measurements in different suburban outdoor-to-indoor mobile-to-mobile (M2M) communication scenarios as well as for keyhole channels [12]. Motivated by the latest advances in physical layer security analysis [2]- [6] and the importance of security in vehicular communications, we study the secrecy performance of vehicular communications in this letter. Additionally, due to the high mobility of vehicles, and more importantly, the eavesdropper's intention to hide its position, we also take into account of the uncertainty of the eavesdropper's location in our analysis.…”

“…There is an increasing number of research exploring the physical layer secrecy performance of communication systems over different fading conditions. The average secrecy capacity (ASC) over κ-µ and α-µ fading channels have been derived in [2] and [3], respectively. The secrecy outage probability (SOP) performance over correlated composite Nakagami-m/Gamma fading channels was investigated in [4].…”

On Physical Layer Security of $\alpha$ -$\eta$ -$\kappa$ -$\mu$ Fading Channels

“…The main contributions of this letter are as follows: 1) A novel series based expression for the average secrecy capacity (ASC) is derived in terms of the extended generalized bivariate Fox H function (EGBFHF) for the classical Wyner's model [12] under the α-η-κ-µ fading. 2) Exact and generalized expression is obtained for the secrecy outage probability (SOP) in terms of the Meijer G function contrary to previous works [2], [13], [14], where only lower bound of SOP is derived. The strictly positive secrecy capacity (SPSC) can be obtained from the derived SOP by setting the target secrecy rate to zero.…”

“…In this case, the instantaneous secrecy capacity of the considered system is defined as C s (γ B , γ E ) = max{ln(1 + γ B ) − ln(1 + γ E ), 0} [2]. The ASC, C s , can be obtained from [2] C…”

“…The physical layer secrecy performance of communication systems over different short-term fading conditions such as Rayleigh, Hoyt, Rice, Weibull, κ-µ, and α-µ, etc., has been explored in [2]- [5] and the references therein. On the other hand, the emerging wireless applications and services expand the traditional outdoor channel environments to all sorts of new scenarios such as millimeter wave (mm-Wave) communications, body area networks, vehicle-to-everything, Internet of Things, etc [6].…”