A wireless ad hoc network consisting of one-hoping relay channel and some interfering nodes with possible arbitrary correlation between wireless channels coefficients is studied. By exploiting a novel approach called Copula theory, enabling us to describe joint probability distribution function for arbitrarily correlated random variables, the authors derive a closed-form expression for success probability in different dependence structures of channels. Specifically, by applying the Farlie–Gumbel–Morgenstern (FGM) Copula and the popular Archimedean (Clayton, Gumbel, and Frank) Copulas, they analyse the network performance in terms of success probability, and show that the channels correlation improves the performance of success probability so that whenever the dependence structure tends to higher values, the performance improvement is increased. Besides, it is found that the investigation of channel correlation effects by FGM Copula is more tangible compared to Archimedean Copulas. Finally, the efficiency of the analytical results is illustrated numerically.

中文翻译：

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基于Copula的无线一跳中继信道性能分析 特别指定 具有相关衰落信道的网络

无线 特别指定研究了由单跳中继信道和一些干扰节点组成的网络，无线网络系数之间可能存在任意相关性。通过利用一种称为Copula理论的新颖方法，使我们能够描述任意相关随机变量的联合概率分布函数，作者得出了在不同的依存关系结构中成功概率的闭式表达式。具体而言，通过应用Farlie–Gumbel–Morgenstern（FGM）Copula和流行的Archimedean（Clayton，Gumbel和Frank）Copulas，他们根据成功概率分析了网络性能，并表明渠道相关性提高了成功的表现。因此，只要依赖结构趋向于更高的值，就可以提高性能。除了，研究发现，与阿基米德·科普拉斯相比，FGM Copula对通道相关效应的研究更为切实。最后，用数字说明了分析结果的效率。