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.

中文翻译：

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相关瑞利衰落信道上物理层安全性能的基于 Copula 的分析


本文研究了瑞利衰落窃听信道中物理层安全性的性能分析，其中主（发射机到合法接收机）和窃听者（发射机到窃听者）信道系数是相关的。通过利用称为 Copula 理论的新方法，我们推导出平均保密容量 (ASC)、保密中断概率 (SOP) 和保密覆盖区域 (SCR) 的封闭式表达式。此外，为了更好地评估信道相关性的影响，研究了SOP在高信噪比（SNR）状态和其他场景下的渐近行为，最后在正相关、独立、和负依赖结构。基于此分析的见解，我们发现相关衰落对物理层安全性能的影响在不同场景中可能是有益的，也可能是有害的，具体取决于主信道和窃听信道之间的依赖结构。