An approximation for discrete B-splines in time domain

Author

Ichige, Koichi ; Kamada, Masaru

Author_Institution

Doctoral Prog. in Eng., Tsukuba Univ., Ibaraki, Japan

Volume

4

Issue

3

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

82

Lastpage

84

Abstract

A simple discrete version of B-splines defined as a multifold discrete convolution of sampled rectangles is proposed in the analogy of B-splines being multifold convolution integrals of rectangular functions. Then it is proven that its staircase interpolation tends to the B-spline when the sampling interval goes to zero. This version can be regarded as an approximation for the discrete B-splines established in the literature, and it is faster in numerical evaluation.

Keywords

convolution; function approximation; interpolation; signal representation; signal sampling; splines (mathematics); time-domain analysis; discrete B-splines; multifold convolution integrals; multifold discrete convolution; numerical evaluation; rectangular functions; sampled rectangles; sampling interval; signal approximation; signal representation; staircase interpolation; time domain; Computer errors; Convolution; Digital filters; Electronic mail; Finite impulse response filter; Interpolation; Least squares approximation; Root mean square; Sampling methods; Spline;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.558645

Filename

558645