Impact of correlation on the capacity of MIMO channels

Abstract
This paper presents exact results on (i) the moment generating function (MGF) of the multiple-input-multiple-output (MIMO) channel capacity and (ii) the outage probability and the capacity complementary distribution function (CCDF) of MIMO maximal ratio combining (MRC) systems both in correlated Rayleigh fading environment. We then deduce from the first result both the mean and the variance of this capacity as well as the Gaussian-approximated capacity CCDF. The mathematical formalism is illustrated by some numerical examples that show the impact of various parameters on the capacity of correlated MIMO channels.

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