On the Capacity Statistics of MIMO Ricean and Rayleigh Fading Channels

Abstract

In this work, we provide a new framework for the analysis of the multiple-input multiple-output (MIMO) Ricean and Rayleigh fading channel capacity statistics under the assumption of perfect channel knowledge at the receiver, no channel state information at the transmitter and isotropic Gaussian distributed inputs. More specifically, we show that by deriving the marginal densities of the unordered eigenvalues of (non) central Wishart matrices, it is possible to generalize Telatar's approach for evaluating the average channel capacity, to derive the capacity variance as well as its higher order statistics, such as its skewness and kurtosis, for a class of MIMO fading environments, including the uncorrelated Rician and Rayleigh fading and the semicorrelated Rayleigh fading, thereby alleviating the need to resort to the moment generating function approach so far used in the open literature. Numerical results are also provided and sustained by Monte Carlo simulations in order to show the perfect match between the theoretical and simulation results.