Copula function‐based analysis of outage probability and coverage region for wireless multiple access communications with correlated fading channels

The Role of Correlation in the Doubly Dirty Fading MAC with Side Information at the Transmitters

“…This implies that the coverage region is improved compared to the case of independent fading, as observed in the figure. It is interesting to highlight that this is in stark contrast with the observations made in [12] in the absence of interference. Hence, we see that considering the non-causally known SI at transmitters in MAC can improve the performance of outage probability and coverage region under the positive dependence structure.…”

“…Copulas have also been used for analyzing the impact of interference correlation in the context of ad hoc networks [11]. Finally, the authors in [12] derived closed-form expressions for the outage probability and the coverage region in the correlated Rayleigh fading clean MAC, bringing out the negative effect of a positive dependence between fading channels in the system performance.…”

On Fading Channel Dependency Structures with a Positive Zero-Outage Capacity

“…It can be seen that the values F −1 X 1 (t) and F −1 X 2 (t) increase with increasing t. These are the first candidates for the optimal R 0 from (13). They are represented by the lines…”

“…Thus, we can combine the above results according to (13) to get the expression of the ZOC for two Rayleigh fading links as x 2 B t (x) for t = 0.5…”

Copula based performance analysis for one‐hoping relay channel in wireless ad hoc network with correlated fading channels

“…In [20 ], the authors considered the correlated Weibull fading channels and obtained a closed‐form expression for outage probability by exploiting the survival Gumbel Copula. In contrast, Ghadi and Hodtani [21 ] derived the closed‐form expressions for outage probability and coverage region under correlated Rayleigh fading multiple access channels by utilising the Farlie–Gumbel–Morgenstern (FGM) Copula. Moreover, analysing the capacity of the MIMO point‐to‐point channel over correlated m ‐Nakagami channels by using the Clayton Copula was investigated in [22 ].…”