On Asymptotic Outage Capacity Distribution of Correlated MIMO Channels

A general sufficient condition for the asymptotic normality of MIMO channel outage capacity is considered. Some physical aspects of this condition are discussed. Simple alternative conditions, which do not require eigenvalue decomposition, are proposed for the MIMO channels whose correlation matrix has a Toeplitz structure. It is demonstrated that some popular correlation matrix models satisfy this condition. In many cases, the convergence to the asymptotic normality is at least as 1radic n_t , where n_t is the number of Tx antennas.