Proceedings PaperCode design for correlated MIMO channels
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This paper describes a numerical design procedure for the design of optimal (in the minimum mean square channel estimation error sense) precoders for diversity systems with unitary codes where temporal correlation in the channel is present. The paper describes the use matrix differential calculus to derive the Jacobian (first derivative) of trace of the optimal (MMSE) estimation error covariance matrix with respect to the channel precoder matrix. This is used to define a gradient descent algorithm to minimise this error over all unit norm precoders. Simulation results using a per-survivor processing based receiver illustrate the improvement gained over unitary codes. The paper also shows by example that this does not necessarily lead on its own to optimal symbol detection error probability performance.