In this paper, we study the performance of wireless communications empowered by Reconfigurable Intelligent Surface (RISs) over Nakagami-m fading channels. We consider two phase configuration designs for the RIS, one random and another one based on coherent phase shifting. For both phase configuration cases, we present single-integral expressions for the outage probability and the bit error rate of binary modulation schemes, which can be efficiently evaluated numerically. In addition, we propose accurate closed-form approximations for the ergodic capacity of the considered system. For all considered metrics, we have also derived simple analytical expressions that become tight for large numbers of RIS reflecting elements. Numerically evaluated results compared with Monte Carlo simulations are presented in order to verify the correctness of the proposed analysis and showcase the impact of various system settings.

翻译：本文研究了在Nakagami-m衰落信道下，可重构智能表面（RIS）赋能无线通信的性能。我们考虑了两种RIS相位配置方案：随机相位配置和基于相干相移的配置。针对这两种相位配置情况，我们给出了二进制调制方案的中断概率和误码率的单积分表达式，这些表达式可进行高效数值计算。此外，我们还提出了所考虑系统遍历容量的精确闭式近似。对于所有考虑的指标，我们推导了在RIS反射单元数量较大时具有紧致性的简单解析表达式。通过将数值计算结果与蒙特卡洛仿真进行对比，验证了所提分析的正确性，并展示了不同系统设置的影响。