Analytical expressions for the ergodic capacities of certain MIMO systems by the Mellin transform

The paper demonstrates the use of Mellin transforms in the analytical evaluation of the mean capacity of multiple-input-multiple-output (MIMO) systems in various fading environments. Results are derived for the mean capacity for the following systems: a single-input-multiple-output (SIMO) system with Rayleigh fading, an (N, N) MIMO system with Rayleigh fading, an (N, N) MIMO system with a keyhole. A general asymptotic formula is derived that is valid for a wide variety of fading environments.