Exact Moments of Mutual Information of Jacobi MIMO Channels in High-SNR Regime

In this paper, we propose an analytical framework to derive all positive integer moments of MIMO mutual information in high-SNR regime. The approach is based on efficient use of the underlying matrix integrals of the high-SNR mutual information. As an example, the framework is applied to the study of Jacobi MIMO channel model relevant to fiber optical and interference-limited multiuser MIMO communications. For such a channel model, we obtain explicit expressions for the exact moments of the mutual information in the high-SNR regime. The derived moments are utilized to construct approximations to the corresponding outage probability. Simulation shows the usefulness of the results in a crucial scenario of low outage probability with finite number of antennas.