Second-Order Statistics of the Mutual Information of the Asymptotic Separately-Correlated Rician Fading MIMO Channel with Interference

The mean and variance of the mutual information of a separately-correlated Rician fading MIMO channel are derived in the presence of multi-access interference, when the number of transmit and receive antennas grows asymptotically large. Perfect receive channel-state information is assumed. The results are based on the replica method and superanalysis, powerful tools developed in the context of theoretical physics. The former allows to derive the moment generating function of the mutual information and the latter is required to cope with the coupling between the signal and interference parts. Analytic asymptotic results are compared with Monte-Carlo simulations to assess the accuracy of this method when the number of antennas is small.