An adaptive spline method for signal restoration

Author

Moulin, Pierre

Author_Institution

Bell Commun. Res., Morristown, NJ, USA

Volume

4

fYear

1992

fDate

23-26 Mar 1992

Firstpage

169

Abstract

The author considers the classical problem of estimating a signal f, given noisy samples of a linear transformation of f. A nonlinear regression method is proposed for estimating f in the class of polynomial B-splines defined over nonuniform grids. This type of approximation offers great flexibility, as the number of knots, knot locations, and knot coefficients are free parameters. Estimates are obtained using a simple iterative algorithm derived by application of a multistage hypothesis-testing procedure

Keywords

iterative methods; signal processing; splines (mathematics); adaptive spline method; iterative algorithm; knot coefficients; knot locations; linear transformation; multistage hypothesis-testing; noisy samples; nonlinear regression method; polynomial B-splines; signal estimation; signal restoration; white Gaussian noise; Additive white noise; Gaussian noise; Iterative algorithms; Iterative methods; Maximum likelihood estimation; Parameter estimation; Polynomials; Signal restoration; Spline; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on

Conference_Location

San Francisco, CA

ISSN

1520-6149

Print_ISBN

0-7803-0532-9

Type

conf

DOI

10.1109/ICASSP.1992.226459

Filename

226459