Outage Probability of Spatially Correlated MIMO Full-Duplex Relaying with Imperfect CSI

This paper analyzes the performance of full-duplex relaying (FDR) with multiple-antenna amplify-and-forward (AF) relay. The system performance due to practical wireless transmission impairments of spatial fading correlation and imperfect channel state information (CSI) is investigated. To this end, new exact closed-form expressions for the outage probability are derived, where the case of arbitrary, exponential, and no correlations are considered. Meanwhile, for a better system performance insights, simpler outage probability lower-bounds are also included. At the relay, the loopback self-interference (LI) is mitigated by using receive zero-forcing (ZF) precoding scheme, then steering the signal to the destination by using the maximumratio transmission (MRT) technique. Numerical results sustained by Monte Carlo simulations show the exactness and tightness of the proposed exact closed-form and lower-bound expressions, respectively. In addition, it is seen that the outage probability performance of FD relaying outperforms that of HD relaying at low to medium signal-to-noise ratio (SNR). Furthermore, in the presence of channel estimation errors, an outage probability error floor is seen as SNR increases.