Capacity statistics and scheduling gain for MIMO systems in correlated Rayleigh fading

Taking into account realistic propagation environments, in the presence of spatial fading correlation at both the transmitter and the receiver, we derive closed-form analytical expressions for the exact characteristic function and statistical moments (mean, variance, skewness, and kurtosis) of instantaneous capacity for multiple-input multiple-output (MIMO) wireless channels. These results enable us to analytically evaluate two relevant information-theoretic capacity measures - ergodic and outage capacity - and other higher-order statistics of the capacity. We also analyze the multi-user scheduling gain in rate-feedback systems using the Gaussian approximation to the capacity distribution.