On the fluctuations of the mutual information of large dimensional MIMO channels

In this article, large random matrix theory is used to study Shannonpsilas mutual information of a general class of multiple input multiple output radio channels with random correlated gains. In the literature, there exists an approximation of this mutual information in the asymptotic regime where the number of transmitting antennas and the number of receiving antennas grow toward infinity at the same pace. This contribution is devoted to the study of the mutual informationpsilas fluctuations around this deterministic approximation under the form of a central limit theorem (CLT). In particular, this CLT provides an approximation of the outage probability, which represents a fundamental performance index for communications on slow fading channels. The proof of this CLT relies on martingale theory.