On the Asymptotic Geometric Mean of MIMO Channel Eigenvalues

Author

Salo, Jari ; Seethaler, Dominik ; Skupch, Ana

Author_Institution

SMARAD/Radio Lab., Helsinki Univ. of Technol., Espoo

fYear

2006

fDate

9-14 July 2006

Firstpage

2109

Lastpage

2113

Abstract

The geometric mean of the eigenvalues of multiple-input multiple-output (MIMO) channels is a parameter occurring in a variety of instances, including MIMO transceiver design based on the so-called geometric mean decomposition (GMD), and MIMO mutual information at high SNR. In this paper, we derive the asymptotic geometric mean of MIMO channel eigenvalues in the case where the entries of the channel matrix are independent and identically distributed. We demonstrate that the result can be easily extended to channels with an exponential correlation model. As an application of the result, we provide an analytical expression for the asymptotic system capacity of GMD-based transceivers

Keywords

MIMO systems; eigenvalues and eigenfunctions; matrix algebra; transceivers; wireless channels; MIMO channel eigenvalues; MIMO transceiver; asymptotic geometric mean; asymptotic system capacity; channel matrix; exponential correlation model; geometric mean decomposition; multiple-input multiple-output channels; Communications technology; Design engineering; Eigenvalues and eigenfunctions; Laboratories; MIMO; Matrix decomposition; Mutual information; Radio frequency; Random variables; Transceivers;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 2006 IEEE International Symposium on

Conference_Location

Seattle, WA

Print_ISBN

1-4244-0505-X

Electronic_ISBN

1-4244-0504-1

Type

conf

DOI

10.1109/ISIT.2006.261923

Filename

4036341