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Transactions on Emerging Telecommunications Technologies

Copula based analysis of impact of wireless channels correlation on the physical layer security performances in a wireless wiretap channel with artificial noise

Saeid Pakravan, Ghosheh Abed Hodtani

Published Jan 13, 2022• 6 citations
Publisher

Abstract

Abstract In this article, a wireless wiretap channel with artificial noise assisted transmission and active eavesdropper is considered, where, wireless channel coefficients are correlated. Aiming at analyzing wireless channels correlation effects on the physical layer security, we exploit copula theory and obtain closed form expressions for the probability of positive secrecy rate, average secrecy rate, and generalized secrecy outage probability. Then, the obtained analytical results are evaluated numerically under positive dependence, independence and negative dependence correlation structures and it is shown that in different scenarios, the effect of correlated fading on the security performance can be beneficial or harmful.

DOI
10.1002/ett.4436

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This paper studies performance analysis of physical layer security in a Rayleigh fading wiretap channel, where, the main (transmitter-to-legitimate receiver) and eavesdropper (transmitter-to-eavesdropper) channel coefficients are correlated. By exploiting the novel approach called Copula theory, we derive closed-form expressions for average secrecy capacity (ASC), secrecy outage probability (SOP), and secrecy coverage region (SCR). Moreover, to more evaluate the impact of channel correlation, the asymptotic behavior of SOP in high signal-to-noise ratio (SNR) regime and other scenarios is studied, and finally, the analytical results are illustrated numerically under the positive dependence, independence, and negative dependence structures. Based on the insights from this analysis, we found that the effect of correlated fading on the performance of physical layer security can be helpful or harmful in different scenarios, depending on the structure of dependency between the main and eavesdropper channels.
Abstract Physical layer security, as an important practical concept, in unmanned aerial vehicle (UAV) assisted channels has been studied in the literature, where, impacts of side information and or correlation of wireless channel coefficients have not been considered. In this paper, having briefly reviewed (the discrete memoryless side information channel, physical secure rate and copula function theory), a continuous alphabet wiretap channel with UAV transmitter and two-sided side information is considered. For this channel, we obtain closed form expressions for secrecy capacities in two cases: (i) Gaussian channel with constant channel coefficients; (ii) Gaussian wireless channel with correlated coefficients by using FGM copula function to describe the correlations. Through obtained secrecy rates, we analyse the impacts of (a) UAV situation for transmitter (b) two-sided non-causal side information and (c) correlation between channel coefficients on the achievable rates. Then, analytical results are numerically assessed across various correlation structures, both with and without side information. The findings demonstrate that correlated fading adversely impacts security performance in different scenarios, while the presence of side information enhances security performance.
Abstract In wireless communications, it is often assumed that the channel coefficients are independent, while there physically exists correlations between them. In this paper, considering physical layer security in downlink NOMA channel with dependent coefficients, important wireless performances (the average secrecy rates (ASR) and the secrecy coverage regions (SCR) are investigated, by using Copula theory. Specifically, the effect of channel coefficients correlation on the performances is analyzed. Based on the results of mathematical investigations and numerical results, we found that the effect of correlations between channels can improve performances or be harmful.
In this paper, we analyze the performance of physical layer security (PLS) in Weibull fading wiretap channels (WTC), leveraging realistic channel propagation models in which the channel coefficients of the main (transmitter-to-legitimate receiver) and eavesdropper (transmitter-to-eavesdropper) channels are correlated. Additionally, by incorporating non-causally known side information (SI) at the transmitter, we enhance PLS in this context. We utilize the Farlie–Gumbel–Morgenstern (FGM) copula to model the correlation between the main and eavesdropper channels, enabling us to derive analytical expressions for the average secrecy capacity (ASC), secrecy outage probability (SOP), the lower bound of SOP (LSOP), and the strictly positive secrecy capacity (SPSC) across various dependence scenarios (i.e., negative, positive, and independent). The numerically evaluated results, validated through corresponding computer simulations, provide valuable insights into the impact of channel correlation and SI at the transmitter on the system’s PLS performance.
In this paper, we investigate the impact of side information (SI) on the performance of physical layer security (PLS) under correlated fading channels. By considering non-causally known SI at the transmitter and exploiting the copula technique to describe the fading correlation, we derive closed-from expressions for the average secrecy capacity (ASC) and secrecy outage probability (SOP) under positive/negative dependence conditions. We indicate that considering such knowledge at the transmitter is beneficial for system performance and ensures reliable communication with higher rates, as it improves the SOP and brings higher values of the ASC.
Abstract In this paper, a discrete memoryless wiretap channel with non-causal side information known at the encoder is considered. We (i) characterize capacity region for the Gaussian version of this channel by considering correlation between channel input and side information available at the transmitter; (ii) analyze the impact of correlation on the performance of physical layer security in a Rayleigh fading wiretap channel by deriving closed-form expressions on the average secrecy capacity (ASC) and secrecy outage probability (SOP). Further, to more show the impact of side information, asymptotic behavior of SOP is studied. Numerical evaluation of theoretical results is done finally.