In this paper, we analyze the performance of an in-band full-duplex (IBFD) decode-and-forward (DF) two-way relay (TWR) system whose two terminal nodes exchange information via a relay node over the same frequency and time slot. Unlike the previous works on full-duplex two-way relay systems, we investigate the system performance under the impacts of both hardware impairments and imperfect self-interference cancellation (SIC) at all full-duplex nodes. Specifically, we derive the exact expression of outage probability based on the signal to interference plus noise and distortion ratio (SINDR), thereby determine the throughput and the symbol error probability (SEP) of the considered system. The numerical results show a strong impact of transceiver impairments on the system performance, making it saturate at even a low level of residual self-interference. In order to tackle with the impact of hardware impairments, we derive an optimal power allocation factor for the relay node to minimize the outage performance. Finally, the numerical results are validated by Monte Carlo simulations.

在本文中，我们分析了带内全双工 (IBFD) 解码转发 (DF) 双向中继 (TWR) 系统的性能，该系统的两个终端节点通过中继节点在相同的频率和时隙。与之前在全双工双向中继系统上的工作不同，我们研究了在所有全双工节点的硬件损伤和不完善的自干扰消除 (SIC) 影响下的系统性能。具体来说，我们根据信号干扰加噪声失真比 (SINDR) 推导出中断概率的准确表达式，从而确定所考虑系统的吞吐量和符号错误概率 (SEP)。数值结果表明收发器损伤对系统性能有很大影响，使其在低水平的残余自干扰下饱和。为了解决硬件损伤的影响，我们为中继节点推导出最佳功率分配因子，以最大限度地降低断电性能。最后，数值结果通过蒙特卡罗模拟进行验证。