Title :
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
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;
Conference_Titel :
Personal, Indoor and Mobile Radio Communications, 2005. PIMRC 2005. IEEE 16th International Symposium on
Conference_Location :
Berlin
Print_ISBN :
9.7838007291e+012
DOI :
10.1109/PIMRC.2005.1651494
