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A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels
Abstract : This paper adresses the behaviour of the mutual information of correlated MIMO Rayleigh channels when the numbers of transmit and receive antennas converge to infinity at the same rate. Using a new and simple approach based on Poincaré-Nash inequality and on an integration by parts formula, it is rigorously established that the mutual information converges to a Gaussian random variable whose mean and variance are evaluated. These results confirm previous evaluations based on the powerful but non rigorous replica method. It is believed that the tools that are used in this paper are simple, robust, and of interest for the communications engineering community.
Cited literature [21 references]
https://hal.archives-ouvertes.fr/hal-00120482
Contributor : Walid Hachem Connect in order to contact the contributor
Submitted on : Friday, December 15, 2006 - 11:18:42 AM
Last modification on : Saturday, January 15, 2022 - 3:56:52 AM
Long-term archiving on: : Tuesday, April 6, 2010 - 7:27:10 PM
Contributor : Walid Hachem Connect in order to contact the contributor
Submitted on : Friday, December 15, 2006 - 11:18:42 AM
Last modification on : Saturday, January 15, 2022 - 3:56:52 AM
Long-term archiving on: : Tuesday, April 6, 2010 - 7:27:10 PM
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