Comments on “Asymptotic Eigenvalue Distributions and Capacity for MIMO Channels Under Correlated Fading ” [1]

Abstract — A stronger and general sufficient condition for the asymptotic normality of MIMO channel eigenvalues and its capacity is given. Physical interpretation of this condition is discussed. Simple alternative conditions, which do not require eigenvalue decomposition, are proposed. It is demonstrated that some popular correlation matrix models satisfy these conditions. In many cases, the convergence to the asymptotic normality is at least as 1 / √ nt, wherentis the number of Tx antennas. Index Terms — Asymptotic analysis, correlated fading, MIMO channel, outage capacity. WHILE the exact eigenvalue distribution of MIMO channels1 is rather complex, Martin and Ottersten [1] proposed a simple and well-tractable asymptotic approximation. In particular, they proved that when the number of antennas at the Tx end is large, the eigenvalues of a correlated Rayleig