Mathematics – Probability
Scientific paper
2007-10-22
IEEE Transactions on Information Theory 56, 3 (2010) 1048--1069
Mathematics
Probability
56 pp. Extended version of the published article in IEEE Inf. Th. (march 2010) with more proofs
Scientific paper
The capacity-achieving input covariance matrices for coherent block-fading correlated MIMO Rician channels are determined. In this case, no closed-form expressions for the eigenvectors of the optimum input covariance matrix are available. An approximation of the average mutual information is evaluated in this paper in the asymptotic regime where the number of transmit and receive antennas converge to $+\infty$. New results related to the accuracy of the corresponding large system approximation are provided. An attractive optimization algorithm of this approximation is proposed and we establish that it yields an effective way to compute the capacity achieving covariance matrix for the average mutual information. Finally, numerical simulation results show that, even for a moderate number of transmit and receive antennas, the new approach provides the same results as direct maximization approaches of the average mutual information, while being much more computationally attractive.
Dumont Julien
Hachem Walid
Lasaulce Samson
Loubaton Philippe
Najim Jamal
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