Statistical Distribution of Eigenvalues of Correlation Matrices in i.i.d MIMO Channels under Rayleigh Fading

Author

Taniguchi, Tetsuki ; Sha, Shen ; Karasawa, Yoshio

Author_Institution

Dept. of Electron. Eng., Electro- Commun. Univ., Tokyo

Volume

1

fYear

2005

fDate

11-14 Sept. 2005

Firstpage

537

Lastpage

541

Abstract

In this paper, we describe about the statistical distribution of eigenvalues of correlation matrices in independent and identically distributed (i.i.d.) MIMO Rayleigh fading channels. First, the statistical eigenanalysis of MIMO channel correlation matrices is carried out, and the exact expression of the marginal distribution of eigenvalues is presented. Then, a monomial approximation of above distribution with a simple form convenient for the calculation of MIMO performance is proposed based on the theory of space diversity in SIMO systems adopting maximal ratio combining. Through computer simulations, the effectiveness of the proposed approximation method is demonstrated

Keywords

MIMO systems; Rayleigh channels; approximation theory; eigenvalues and eigenfunctions; matrix algebra; statistical analysis; MIMO channels; Rayleigh fading; SIMO systems; approximation method; channel correlation matrices; correlation matrices; eigenvalues; maximal ratio combining; space diversity; statistical distribution; statistical eigenanalysis; Approximation methods; Computer simulation; Diversity reception; Eigenvalues and eigenfunctions; Fading; MIMO; Matrix decomposition; Performance analysis; Rayleigh channels; Statistical distributions;

fLanguage

English

Publisher

ieee

Conference_Titel

Personal, Indoor and Mobile Radio Communications, 2005. PIMRC 2005. IEEE 16th International Symposium on

Conference_Location

Berlin

Print_ISBN

9.7838007291e+012

Type

conf

DOI

10.1109/PIMRC.2005.1651494

Filename

1651494