On the capacity achieving covariance matrix for frequency selective MIMO channels using the asymptotic approach

Abstract : In this contribution, an algorithm for evaluating the capacity achieving input covariance matrices for frequency selective Rayleigh MIMO channels is proposed. In contrast with the flat fading Rayleigh 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 this paper, it is proposed to optimize (w.r.t. the input covariance matrix) a large system approximation of the average mutual information derived by Moustakas and Simon. An algorithm based on an iterative water filling scheme is proposed, and its convergence is studied. 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.
Type de document :
Communication dans un congrès
IEEE International Symposium on Information Theory (ISIT'10), Jun 2010, Austin, United States. pp.2153-2157, 2010
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https://hal-upec-upem.archives-ouvertes.fr/hal-00714270
Contributeur : Caroline Chaux <>
Soumis le : mardi 3 juillet 2012 - 17:59:06
Dernière modification le : mercredi 25 juillet 2012 - 02:23:11

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  • HAL Id : hal-00714270, version 1

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Florian Dupuy, Philippe Loubaton. On the capacity achieving covariance matrix for frequency selective MIMO channels using the asymptotic approach. IEEE International Symposium on Information Theory (ISIT'10), Jun 2010, Austin, United States. pp.2153-2157, 2010. <hal-00714270>

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