In this paper, we investigate the impact of fading channel correlation on the performance of dual-hop decode-and-forward (DF) simultaneous wireless information and power transfer (SWIPT) relay networks. More specifically, by considering the power splitting-based relaying (PSR) protocol for the energy harvesting (EH) process, we quantify the effect of positive and negative dependency between the source-to-relay (SR) and relay-to-destination (RD) links on key performance metrics such as ergodic capacity and outage probability. To this end, we first represent general formulations for the cumulative distribution function (CDF) of the product of two arbitrary random variables, exploiting copula theory. This is used to derive the closed-form expressions of the ergodic capacity and outage probability in a SWIPT relay network under correlated Nakagami-m fading channels. Monte-Carlo (MC) simulation results are provided throughout to validate the correctness of the developed analytical results, showing that the system performance significantly improves under positive dependence in the SR-RD links, compared to the case of negative dependence and independent links. Results further demonstrate that the efficiency of the ergodic capacity and outage probability ameliorates as the fading severity reduces for the PSR protocol.

翻译：在本文中,我们调查了电源到中继(SR)和中继到目的地(RD)之间的正负依赖性联系对关键性能衡量标准(如超能力)的正确性分析结果和出错概率等的影响。为此,我们首先代表两个任意随机变数产品的累积性分布功能(CDF)的一般配方,利用 Coppula 理论,更具体地说,通过考虑能源收获(EH)过程的分权式中继(PSR)协议,我们量化了源到中继(SR)和中继(中继)和中继到目的地(RD)链接对关键性能衡量标准(如超能力)之间的正负依赖性依赖性影响。我们首先代表了两个任意随机变数产品的累积性分配功能(CDF)的一般配方,利用了 Coppula 理论。这被用来从SWIP的封闭式传输能力表达方式和超值概率,从而进一步证明SDR的负性依赖性和降低概率。