Structure of Optimal Input Covariance Matrices for MIMO Systems with Covariance Feedback under General Correlated Fading

Details Structure of Optimal Input Covariance Matrices for MIMO Systems with Covariance Feedback under General Correlated Fading Structure of Optimal Input Covariance Matrices for MIMO Systems with Covariance Feedback under General Correlated Fading

2006-01-25

arxiv.org/abs/cs/0601107v2

Proc. of the 2006 IEEE International Symposium on Information Theory, ISIT 2006 Seattle, pp. 1041-1045

Computer Science

Information Theory

5 pages, corrected typos

Scientific paper

We describe the structure of optimal Input covariance matrices for single user multiple-input/multiple-output (MIMO) communication system with covariance feedback and for general correlated fading. Our approach is based on the novel concept of right commutant and recovers previously derived results for the Kronecker product models. Conditions are derived which allow a significant simplification of the optimization problem.

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