In this paper, we investigate the detection performance for MIMO signals in a wireless full-duplex (FD) relaying network, in which the diversity techniques, including maximal ratio transmission (MRT) at source and maximal ratio combining (MRC) at destination, are applied. Especially, we rigorously study the impact of hardware impairment (HI) at all nodes and the residual self-interference (RSI) at the FD relay (FDR), which have not mentioned in previous works. Here, the closed-form expressions of key performance factors such as outage probability (OP), throughput, and symbol error rate (SER) of the considered MIMO-FDR system with HI are derived mathematically. All analytical expressions are validated by Monte Carlo simulations. Numerical results demonstrate a strong impact of HI on OP, throughput, and SER of the MIMO-FDR system in comparison with the ideal (ID) MIMO-FDR system, especially at high data rate. The combination of HI and RSI prevents OP and SER of the MIMO-FDR system from going lower than some error floors even at high signal-to-noise ratio (SNR) regime. However, by using MRT/MRC techniques with larger number of transmit antennas at source than the number of receive antennas at destination, the OP and SER performance in HI condition can be significantly improved.

在本文中，我们研究了无线全双工（FD）中继网络中MIMO信号的检测性能，其中分集技术包括源处的最大比率传输（MRT）和目标处的最大比率合并（MRC）。应用。特别是，我们严格研究了所有节点上的硬件损伤（HI）以及FD中继（FDR）上的残余自干扰（RSI）的影响，这在以前的工作中没有提到。在此，通过数学推导所考虑的具有HI的MIMO-FDR系统的关键性能因子（如中断概率（OP），吞吐量和符号错误率（SER））的闭式表达式。所有分析表达式均已通过蒙特卡洛模拟验证。数值结果表明，HI对OP，产量，与理想（ID）MIMO-FDR系统相比，MIMO-FDR系统的SER和SER，尤其是在高数据速率下。HI和RSI的组合可防止MIMO-FDR系统的OP和SER低于某些误差基底，即使在高信噪比（SNR）情况下也是如此。但是，通过使用MRT / MRC技术，其源端的发射天线数大于目的地的接收天线数，可以显着提高HI条件下的OP和SER性能。