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Multiple-input multiple-output Gaussian channels: Optimal covariance for non-Gaussian inputs
2008 IEEE Information Theory Workshop
We investigate the input covariance that maximizes the mutual information of deterministic multiple-input multipleoutput (MIMO) Gaussian channels with arbitrary (not necessarily Gaussian) input distributions, by capitalizing on the relationship between the gradient of the mutual information and the minimum mean-squared error (MMSE) matrix. We show that the optimal input covariance satisfies a simple fixedpoint equation involving key system quantities, including the MMSE matrix. We alsodoi:10.1109/itw.2008.4578704 dblp:conf/itw/RodriguesPV08 fatcat:udwms5bqonazpc36o5pupafg6i