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On the precoder design of flat fading MIMO systems equipped with MMSE receivers: a large system approach
This paper is devoted to the design of precoders maximizing the ergodic
mutual information (EMI) of bi-correlated flat fading MIMO systems equiped with
MMSE receivers. The channel state information and the second order statistics
of the channel are assumed available at the receiver side and at the
transmitter side respectively. As the direct maximization of the EMI needs the
use of non attractive algorithms, it is proposed to optimize an approximation
of the EMI, introduced recently, obtained when the number of transmit and
receive antennas and converge to at the same rate. It is
established that the relative error between the actual EMI and its
approximation is a term. It is shown that the left
singular eigenvectors of the optimum precoder coincide with the eigenvectors of
the transmit covariance matrix, and its singular values are solution of a
certain maximization problem. Numerical experiments show that the mutual
information provided by this precoder is close from what is obtained by
maximizing the true EMI, but that the algorithm maximizing the approximation is
much less computationally intensive.Comment: Submitted to IEEE Transactions on Information Theor