Title :
Application of the convergence of the control points of B-splines to wavelet decomposition at rational scales and rational location
Author :
Meignen, Sylvain
Author_Institution :
LMC-IMAG Lab., Univ. of Grenoble, France
Abstract :
We first recall the relation between discrete B-splines and the control points of B-splines. We then use some convergence properties of the control points of B-splines to derive a new algorithm that approximates the wavelet decomposition at rational scales and rational location. We conclude the paper by some numerical experiments illustrating the behavior of our algorithm and by a discussion on an efficient implementation of the proposed method.
Keywords :
convergence of numerical methods; rational functions; signal representation; splines (mathematics); wavelet transforms; B-splines; convergence; rational scales; signal representation; wavelet decomposition; Approximation algorithms; Computational efficiency; Continuous wavelet transforms; Convergence; Convolution; Digital filters; Discrete wavelet transforms; Sampling methods; Space vector pulse width modulation; Spline;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2004.838195
