Copula-Based Analysis of Physical Layer Security Performances Over Correlated Rayleigh Fading Channels

Abstract

In this letter, we study the performance of a singleuser fluid antenna system (FAS) under arbitrary fading distributions, in which the fading channel coefficients over the ports are correlated. We adopt copula theory to model the structure of dependency between fading coefficients. Specifically, we first derive an exact closed-from expression for the outage probability in the most general case, i.e., for any arbitrary choice of fading distribution and copula. Afterwards, for an important specific case, we analyze the performance of the outage probability under correlated Nakagami-m fading channels by exploiting popular Archimedean copulas, namely, Frank, Clayton, and Gumbel. The results demonstrate that FAS outperforms the conventional single fixed-antenna system in terms of the outage probability. We also see that the spatial correlation dependency structure for the FAS is a key factor to determine its performance, which is natively captured through the choice of copula.

Analysis of side information impact on the physical layer security performances in wireless wiretap channel

“…This metric is defined as a probability that the SC falls under an already stated secure transmission rate . According to this definition, the SOP is presented as where is the complementary SOP and defined as Now, we can express SOP mathematically for Corollaries 1 and 2 as presented in below sub‐section 7,10,16,29,35 Theorem The SOP for concerned uncorrelated Rayleigh fading WC with described parameters , and satisfying Corollary 1 is given by Proof .…”

“…If the transmitter uses a blank paper (ie, without SI), he can send secret information at rates up to the secrecy capacity of the Gaussian wiretap channel, which is equal to the difference of the capacities of the main and overall wiretap channels as shown in Reference 5. For this case, in different scenarios, physical layer security metrics such as ASC, SOP, and SCR have been obtained previously 6‐16 …”

“…The authors in Reference 5 generalized the results of Reference 3 to the Gaussian version. In recent years, some other researchers have been analyzed the importance of secrecy efficiency measures over several fading channels, such as References 6‐18 and so forth.…”

Impact of The Correlation Between Channel Input And Side Information On Physical Layer Security Performances of Wireless Wiretap Channel

“…Now, we are interested in obtaining secrecy outage probability (SOP), because it is an appropriate metric for evaluating security performance in communication systems and defined as a probability that the SC falls below a predefined secure transmission rate . According to this definition, we can express SOP mathematically for Corollaries 1and 2 as presented in below sub-section [7,10,16,26].…”

“…The authors in [5] generalized the results of [3] to the Gaussian version and defined the SC as the difference between capacities of the main and eavesdropper channels. Other researchers have been studied the importance of secrecy efficiency metrics over various fading channels [6][7][8][9][10][11][12][13][14][15][16].…”