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Copula Theory based Investigation of the Physical Layer Security Performances for Downlink Non-Orthogonal Multiple Access(NOMA) Channel with Dependent Fading Coefficients

Faramarz Ajami Khales, Ghosheh Abed Hodtani

Published Jan 24, 2023• 0 citations
Publisher

Abstract

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.

DOI
10.21203/rs.3.rs-2418031/v1

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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.
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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.