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arXiv 2004.05300cs.ITmath.IT
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SWIPT网络中的协作中继:非同分布RV的极值理论渐近分析

Cooperative relaying in a SWIPT network:Asymptotic analysis using extreme value theory for non-identically distributed RVs

Athira Subhash, Sheetal Kalyani

摘要:

本文推导了在源节点和目的节点之间存在大量不同中继链路的基于机会中继选择的协作中继网络中,最大端到端(e2e)信噪比(SNR)的分布。源节点被假定为同时无线信息和功率传输(SWIPT)使能,并且中继器能够进行基于时间分割(TS)和功率分割(PS)的能量收集(EH)。与通信领域的大多数文献相反,通信领域的大多数文献使用极值理论(EVT)来导出独立同分布(i.i.d.)随机变量(RV),我们演示了如何从EVT的工具可以用来获得独立和非同分布(i.n.i.d.)归一化的SNR RV,并因此确定最大e2e SNR RV的分布。利用这些结果,我们推导出在目的节点的遍历和中断能力的表达式。最后,我们提出了效用的渐近结果,用于决定最佳的TS和PS因素的混合EH继电器,(i)最小化中断概率和(ii)最大化遍历容量在目的地。此外,我们演示了如何随机排序的结果可以用来简化这些优化问题。

英文摘要:

This paper derives the distribution of the maximum end-to-end (e2e) signal to noise ratio (SNR) in an opportunistic relay selection based cooperative relaying (CR) network having large number of non-identical relay links between the source and destination node. The source node is assumed to be simultaneous wireless information and power transfer (SWIPT) enabled and the relays are capable of both time splitting (TS) and power splitting (PS) based energy harvesting (EH). Contrary to the majority of literature in communication, which uses extreme value theory (EVT) to derive the statistics of extremes of sequences of independent and identically distributed (i.i.d.) random variables (RVs), we demonstrate how tools from EVT can be used to derive the asymptotic statistics of sequences of independent and non-identically distributed (i.n.i.d.) normalised SNR RVs and hence characterise the distribution of the maximum e2e SNR RV. Using these results we derive the expressions for ergodic and outage capacities at the destination node. Finally, we present the utility of the asymptotic results for deciding the optimum TS and PS factors of the hybrid EH relays that (i) minimise outage probability and (ii) maximise ergodic capacity at the destination. Furthermore, we demonstrate how stochastic ordering results can be utilised for simplifying these optimisation problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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