Title :
An adaptive spline method for signal restoration
Author_Institution :
Bell Commun. Res., Morristown, NJ, USA
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0532-9
DOI :
10.1109/ICASSP.1992.226459
