We investigate the impact of fading correlation on the performance of the doubly dirty fading multiple access channel (MAC) with non-causally known side information at transmitters. Using Copula theory, we derive closed-form expressions for the outage probability and the coverage region under arbitrary dependence conditions. We show that a positive dependence structure between the fading channel coefficients is beneficial for the system performance, as it improves the outage probability and extends the coverage region compared to the case of independent fading. Conversely, a negative dependence structure has a detrimental effect on both performance metrics.

中文翻译：

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关联在发送器中带有边信息的双脏衰落MAC中的作用

我们研究了衰落相关性对在发射机处带有非因果已知的边信息的双重肮脏衰落多址访问信道（MAC）的性能的影响。使用Copula理论，我们得出了任意依赖条件下的停机概率和覆盖区域的闭式表达式。我们表明，与独立衰落的情况相比，衰落信道系数之间的正相关结构有利于系统性能，因为它提高了中断概率并扩展了覆盖范围。相反，负依赖性结构对两个性能指标都有不利影响。