Some Insights into MIMO Mutual Information: The High SNR Case

Author

Salo, Jari ; Suvikunnas, Pasi ; El-Sallabi, Hassan M. ; Vainikainen, Pertti

Author_Institution

Eur. Commun. Eng. Ltd., Espoo

Volume

5

Issue

11

fYear

2006

fDate

11/1/2006 12:00:00 AM

Firstpage

2997

Lastpage

3001

Abstract

We consider mutual information of multiple-input multiple-output (MIMO) wireless channels with complex isotropic Gaussian input in the case where the receiver has perfect channel, knowledge. For arbitrary fading statistics, a mutual information lower bound is decomposed in a sum of three terms involving: a) average SNR; b) channel fading; and c) a term characterizing the "effective rank", or eigenvalue dispersion, of the channel matrix. The decomposition suggests that spatial multiplexing efficiency of a MIMO channel can be characterized by the so-called ellipticity statistic. Distribution functions, means and variances of the random terms in the decomposition for the case of Rayleigh fading are also derived

Keywords

MIMO communication; Rayleigh channels; eigenvalues and eigenfunctions; matrix algebra; multiplexing; statistics; MIMO mutual information; Rayleigh fading; SNR; channel fading; channel matrix; eigenvalue dispersion; ellipticity statistic; fading statistics; isotropic Gaussian input; multiple-input multiple-output wireless channels; receiver; spatial multiplexing; Dispersion; Distribution functions; Eigenvalues and eigenfunctions; Fading; MIMO; Matrix decomposition; Mutual information; Rayleigh channels; Statistical distributions; Statistics;

fLanguage

English

Journal_Title

Wireless Communications, IEEE Transactions on

Publisher

ieee

ISSN

1536-1276

Type

jour

DOI

10.1109/TWC.2006.04638

Filename

4027765