Inverse eigenvalue statistics for Rayleigh and Rician MIMO channels

Author

Jorswieck, E. ; Wunder, G. ; Jungnickel, V. ; Haustein, T.

Author_Institution

Heinrich-Hertz-Inst. fur Nachrichtentech. Berlin GmbH, Germany

fYear

2001

fDate

12 Dec. 2001

Firstpage

42430

Lastpage

42435

Abstract

Recently reclaimed importance of the empirical distribution function of the eigenvalues of Wishart matrices was attached to the analysis of MIMO systems in Hochwald et al. (2001). But for the analysis of MIMO systems with signal processing at the transmitter (Jungnickel et al. (2001)) it is necessary to know the empirical distribution function of the inverse eigenvalues and the first and second moment of these distributions. We extend the results on the eigenvalue distribution and develop a method for computing the moments of the inverse eigenvalues. We show the impact of these results on MIMO system design with examples and verify our results with numerical simulations.

Keywords

MIMO systems; Rayleigh channels; Rician channels; eigenvalues and eigenfunctions; numerical analysis; receiving antennas; signal processing; statistical analysis; transmitting antennas; MIMO systems; Rayleigh channels; Rician channels; Wishart matrices; empirical distribution function; inverse eigenvalue statistics; moments; multiple antennas; numerical simulations; receiving antennas; signal processing; transmitting antennas; wireless communication system;

fLanguage

English

Publisher

iet

Conference_Titel

MIMO: Communications Systems from Concept to Implementations (Ref. No. 2001/175), IEE Seminar on

Type

conf

DOI

10.1049/ic:20010193

Filename

1031869