  Linear receivers are considered as an attractive low-complexity alternative
to optimal processing for multi-antenna MIMO communications. In this paper we
characterize the performance of MMSE MIMO receivers in the limit of large
antenna numbers in the presence of channel correlations. Using the replica
method, we generalize our results obtained in arXiv:0810.0883 to
Kronecker-product correlated channels and calculate the asymptotic mean and
variance of the mutual information of a MIMO system of parallel MMSE
subchannels. The replica method allows us to use the ties between the optimal
receiver mutual information and the MMSE SIR of Gaussian inputs to calculate
the joint moments of the SIRs of the MMSE subchannels. Using the methodology
discussed in arXiv:0810.0883 it can be shown that the mutual information
converges in distribution to a Gaussian random variable. Our results agree very
well with simulations even with a moderate number of antennas.
