With the advent of 5G and the need for energy-efficient massively connected wireless networks, in this work, we consider an energy harvesting (EH) based multi-relay downlink cooperative non-orthogonal multiple access (NOMA) system with practical constraints. The base station serves NOMA users with the help of decode-and-forward based multiple EH relays, where relays harvest the energy from the base station's radio frequency. A relay is selected from the multiple $K$ -relays by using a partial relay selection protocol. The system is considered to operate in half-duplex mode over a generalized independent and identical Nakagami $-m$ fading channel. The closed-form expression of outage probability and ergodic rate are derived for users, under the assumption of imperfect channel state information (CSI) and imperfect successive interference cancellation (SIC) at the receiver node. Expression of outage probability and ergodic rate for two users under the assumption of perfect CSI and perfect SIC are also presented. Further, the asymptotic expression for the outage probability is also shown. The derived analytical expressions are verified through Monte-Carlo simulations.

中文翻译：

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不完善CSI和不完善SIC下能量收集合作NOMA的性能

随着 5G 的出现和对高能效的大规模连接无线网络的需求，在这项工作中，我们考虑了具有实际约束的基于能量收集 (EH) 的多中继下行链路协作非正交多址 (NOMA) 系统。基站在基于解码转发的多个 EH 中继的帮助下为 NOMA 用户提供服务，其中中继从基站的射频中获取能量。从多个继电器中选择一个$K$ -通过使用部分中继选择协议进行中继。该系统被认为是在一个广义独立且相同的 Nakagami 上以半双工模式运行 $-m$衰落通道。在接收机节点不完善的信道状态信息（CSI）和不完善的连续干扰消除（SIC）假设下，为用户推导出中断概率和遍历率的闭式表达式。还给出了完美CSI和完美SIC假设下两个用户的中断概率和遍历率的表达式。此外，还显示了中断概率的渐近表达式。导出的解析表达式通过蒙特卡罗模拟进行验证。