Copula Based Analysis of Physical Layer Security Performances Over Correlated Rayleigh Fading Channels
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.
IEEE Transactions on Information Forensics and Security