FGM Copula Based Analysis of Outage Probability for Wireless Three-User Multiple Access Channel with Correlated Channel Coefficients

In wireless communication channels, the channel coefficients are dependent on each other, leading to constructive or destructive effects on communication performances. Therefore, investigating the performance metrics of wireless communication systems under the influence of the correlation of channel coefficients is essential. One of the powerful tools for modeling the dependence between random variables is copula functions the well-known family of which is the Farlie-Gumbel-Morgenstern (FGM) copula. In this paper, we consider a wireless three-user multiple access channel (MAC) with Rayleigh fading and investigate the effect of the correlation coefficients on the outage probability (OP), as an important performance metric of wireless communication, by using FGM Copula function. The results show that the outage probability improves under the influence of negative correlation between the fading channel coefficients compared to the uncorrelated state. Conversely, positive correlation increases the outage probability compared to the uncorrelated state. Numerical illustrations confirm our theoretical results.