Cramer-Rao bounds for blind multichannel estimation

Author

De Carvalho, Elisabeth ; Cioffi, John ; Slock, Dirk

Author_Institution

Stanford Univ., CA, USA

Volume

2

fYear

2000

fDate

2000

Firstpage

1036

Abstract

Certain blind channel estimation techniques allow the identification of the channel up to a scale or phase factor. This results in singularity of the Fisher information matrix (FIM). The Cramer-Rao bound, which is the inverse of the FIM, is then not defined. To regularize the estimation problem, one can impose constraints on the parameters. In general, many sets of constraints are possible but are not always relevant. We propose a constrained CRB, the pseudo-inverse of the FIM, which gives, for a minimum number of constraints, the lowest bound on the mean squared estimation error

Keywords

identification; matrix inversion; mean square error methods; telecommunication channels; Cramer-Rao bounds; blind multichannel estimation; channel identification; constrained CRB; inverse Fisher information matrix; mean squared estimation error; phase factor; pseudo-inverse FIM; scale factor; singular Fisher information matrix; Blind equalizers; Estimation error; Finite impulse response filter; Parameter estimation; Phase estimation; Predictive models; Random variables; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Global Telecommunications Conference, 2000. GLOBECOM '00. IEEE

Conference_Location

San Francisco, CA

Print_ISBN

0-7803-6451-1

Type

conf

DOI

10.1109/GLOCOM.2000.891295

Filename

891295