Capacity of MIMO channels with one-sided correlation

Abstract

We present closed-form expressions for the marginal density distribution of the unordered eigenvalues of HFH* where F is an input covariance and H is a matrix representing a MIMO (multi-input multi-output) Rayleigh-faded channel with one-sided correlation at either end of the link, transmitter or receiver, with no constraints on the numbers of antennas therein. Using the foregoing distribution, we then derive analytical expressions for the capacity. The expressions found are evaluated through several examples conducted with correlation structures of practical interest.