Optimized construction of biorthogonal spline-wavelets
Date
2008
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Technical university of Liberec, Czech Republic
Technická Univerzita v Liberci
Technická Univerzita v Liberci
Abstract
The paper is concerned with the construction of wavelet bases on the interval derived from B-splines. The resulting bases generate multiresolution analyses on the unit interval with the desired number of vanishing wavelet moments for primal and dual wavelets. Inner wavelets are translated and dilated versions of well-known wavelets designed by Cohen, Daubechies, Feauveau [5] while the construction of boundary wavelets is along the lines of [6], The disadvantage of popular bases from [6] is their bad condition which cause problems in practical applications. Some modifications which lead to better conditioned bases were proposed in [1, 7, 8, 9, 10], In this contribution, we further improve the condition of spline-wavelet bases on the interval. Quantitative properties of these bases are presented. © 2008 American Institute of Physics.
Description
Subject(s)
condition, construction, riesz constants, spline-wavelets, wavelet transform
Citation
ISSN
0094-243X
ISBN
9780735405769