On the capacity achieving covariance matrix for Rician MIMO channels: an asymptotic approach

In this contribution, the capacity-achieving input covariance matrices for coherent blockfading correlated MIMO Rician channels are determined. In contrast with the Rayleigh and uncorrelated Rician cases, no closed-form expressions for the eigenvectors of the optimum input covariance matrix are available. Classically, both the eigenvectors and eigenvalues are computed numerically and the corresponding optimization algorithms remain computationally very demanding. In the asymptotic regime where the number of transmit and receive antennas converge to infinity at the same rate, new results related to the accuracy of the approximation of the average mutual information are provided. Based on the accuracy of this approximation, an attractive optimization algorithm is proposed and analysed. This algorithm is shown to yield an effective way to compute the capacity achieving matrix for the average mutual information and numerical simulation results show that, even for a moderate number of tran...

• Type: Journal
• Year: 2010
• Where: TIT
• Authors: Julien Dumont, Walid Hachem, Samson Lasaulce, Philippe Loubaton, Jamal Najim
• Keywords: Average Mutual Information, Education, Input Covariance, Optimization Algorithm, TIT 2010