The authors evaluate the outage probability, ergodic capacity, and symbol error rate (SER) performances of an amplify-and-forward relaying system equipped with a non-ideal variable gain single relay with hardware (HW) distortions at both the transmitter and receiver sides with the derivations of the instantaneous end-to-end signal-to-noise-and-distortion ratios. More specifically, they analytically derive new algebraic expressions for the outage probability and ergodic capacity in the two-way relaying system over the Nakagami- m fading environments. They further derive new closed-form expressions for the asymptotic outage probability to analyse the performance in the high signal-to-noise regime. The derived statistics, along with the transmitter–relay–receiver channels are then used to obtain a closed-form expression of the approximate and upper bound ergodic capacity. Finally, they investigate the generic mathematical expressions utilising the average and asymptotic SER, valid for several types of modulation schemes operating over the Nakagami- m fading. Monte Carlo simulations and numerical examples are provided to quantify the validity of the derived analytical expressions. The authors' results highlight the effect of HW impairments in the two-way relaying system over the Nakagami- m fading channels and reveal the impact of the level of HW impairments, data rates, modulation types, and shaping parameters on the overall system performance.

中文翻译：

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在中上空存在硬件缺陷的双向AF中继系统的性能分析米 衰落通道

作者评估了配备有非理想可变增益单继电器并在发射器和接收器两侧均具有硬件（HW）失真的放大转发中继系统的 中断概率，遍历容量和符号错误率（SER）性能。瞬时端到端的信噪比和失真比的推导。更具体地说，他们通过分析得出了Nakagami上双向中继系统中中断概率和遍历容量的新代数表达式。 米衰落的环境。他们还针对渐进式中断概率推导了新的闭式表达式，以分析高信噪比情况下的性能。然后，使用导出的统计信息以及发射器-中继器-接收器通道来获得近似和遍历遍历容量的闭式表达式。最后，他们研究了使用平均和渐近SER的通用数学表达式，这些表达式对在Nakagami- 米衰退。提供了蒙特卡洛模拟和数值示例，以量化导出的分析表达式的有效性。作者的研究结果突显了中中继线双向中继系统中硬件损害的影响。 米 信道衰落，揭示硬件损害程度，数据速率，调制类型和整形参数对整体系统性能的影响。