In this article, we investigate the impact of correlated fading on the performance of wireless multiple access channels (MAC) in the presence and absence of side information (SI) at transmitters, where the fading coefficients are modeled according to the Fisher-Snedecor $\mathcal {F}$ distribution. Specifically, we represent two scenarios: ($i$) clean MAC (i.e, without SI at transmitters), ($ii$) doubly dirty MAC (i.e., with the non-causally known SI at transmitters). For both system models, we derive the closed-form expressions of the outage probability (OP) as well as the average capacity (AC) under independent fading conditions. Besides, exploiting copula theory, we obtain the exact analytical expressions for the OP and the AC under positive dependence fading conditions in both considered models. Finally, the validity of the analytical results is illustrated numerically.

中文翻译：

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相关/独立 Fisher-Snedecor $\mathcal {F}$ 衰落多路访问信道的性能分析

在本文中，我们研究了在发射机存在和不存在边信息 (SI) 的情况下，相关衰落对无线多址信道 (MAC) 性能的影响，其中衰落系数根据 Fisher-Snedecor 建模$\数学{F}$分配。具体来说，我们代表两种情况：（$i$) 干净的 MAC（即，在发射机处没有 SI），（$ii$) 双重脏 MAC（即，在发射机处具有非因果已知的 SI）。对于这两个系统模型，我们推导出了独立衰落条件下中断概率（OP）和平均容量（AC）的封闭式表达式。此外，利用 copula 理论，我们在两个考虑的模型中获得了正相关衰落条件下 OP 和 AC 的精确解析表达式。最后，数值说明了分析结果的有效性。