Asymptotic Rate Analysis for Impairments-Aware Multi-Carrier FD Massive MIMO Relay Networks utilizing MRT/MRC Strategy

Abstract: In this paper, we analyze the asymptotic rate for a multi-carrier (MC) full-duplex (FD) massive multiple input multiple output (mMIMO) decode and forward (DF) relay system which serves multiple MC single-antenna half-duplex (HD) nodes. We take into account the impact of hardware distortions resulting in residual self-interference (SI) and inter-carrier leakage (ICL) as well as the impact of imperfect channel state information (CSI). We derive the asymptotic rate expression of our system employed with maximum ratio transmitting (MRT)/ maximum ratio combining (MRC) strategy when the number of the antenna becomes large (goes to $\infty$). It is noticed that the impact of hardware distortion becomes remarkable in a large-scale antenna array regime. On contrary to the effect of multi-user interference and receiver noise, which vanishes as the number of relay antenna goes to infinity, the residual SI and ICL caused by the hardware impairments remains in the MC system.