Analysis of MRT/MRC diversity techniques to enhance the detection performance for MIMO signals in full-duplex wireless relay networks with transceiver hardware impairment

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.