Performance Analysis for Multi-pair AF Massive MIMO Systems with Imperfect CSI and an Eavesdropper

In this paper, we consider a multi-pair amplify-and-forward (AF) massive MIMO system, where an eavesdropper (Eve) can intercept the information which sent to multiple destination users form multiple source users via a relay. The system performance will be analyzed for different power-scaling laws when zero-forcing reception/zero-forcing transmission (ZFT/ZFR) is employed at the relay. And minimum mean-square-error (MMSE) estimator is utilized due to imperfect channel state information (CSI). Analytical results reveal that with the number of relay antennas tending to infinity, the user’s achievable rate will increase to a fixed value, and the eavesdropping information will decrease to a fixed value. Simulation results well validate analytical results.