Ergodic capacity of spatially correlated multi-cluster scattering MIMO channels

In this paper, we study the ergodic capacity of spatially correlated multi-cluster MIMO channels. Our first result is an exact and explicit expression of the joint density of singular values of the considered channel matrix. The singular values correlation function then follows directly, which leads to an exact formula for the ergodic capacity. The derived capacity formula generalizes the results for the uncorrelated case found very recently. The impact of correlation on the ergodic capacity is examined, where for the correlation model considered the effect may not seem to be detrimental.