We present the average symbol error rate (ASER) of quadrature amplitude modulation (QAM) for radio frequency energy harvesting assisted dual-hop multiple amplify-and-forward (AF) relay network. In this relaying network, partial relay selection scheme is employed to select best relay among multiple relays, while selection combining is considered at destination to combine the signals coming from the direct path and the relaying path. In particular, we derive the exact ASER expressions of rectangular QAM (RQAM), hexagonal QAM and cross QAM schemes for the considered systems over independent and non-identically distributed Nakagami-$m$ fading channels using cumulative distribution function method. Moreover, the asymptotic ASER expression of RQAM is determined to examine the system’s diversity order. Further, to verify the correctness of derived expressions, numerically evaluated results are compared with Monte Carlo simulations. Furthermore, the effects of fading parameter, number of relay, time switching ratio, and large scale fading are studied on the ASER performance.

我们提出了用于射频能量收集辅助的双跳多放大转发 (AF) 中继网络的正交幅度调制 (QAM) 的平均符号错误率 (ASER)。在该中继网络中，采用部分中继选择方案在多个中继中选择最佳中继，而在目的地考虑选择合并，将来自直接路径和中继路径的信号合并。特别是，我们为所考虑的系统在独立和非相同分布的 Nakagami-$米$衰落信道采用累积分布函数法。此外，确定 RQAM 的渐近 ASER 表达以检查系统的多样性顺序。此外，为了验证导出表达式的正确性，将数值评估结果与蒙特卡罗模拟进行了比较。此外，还研究了衰落参数、继电器数量、时间切换比和大规模衰落对ASER性能的影响。