Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity
经典分析与常微分方程
2007-05-23 v1 数学物理
math.MP
摘要
Numerical optimization is used to construct new orthonormal compactly supported wavelets with Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (pi/2,\pi). The results improve those obtained by I. Daubechies [Comm. Pure Appl. Math. 41 (1988), 909-996], H. Volkmer [SIAM J. Math. Anal. 26 (1995), 1075-1087], and P. G. Lemarie-Rieusset and E. Zahrouni [Appl. Comput. Harmon. Anal. 5 (1998), 92-105].
引用
@article{arxiv.math/9807089,
title = {Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity},
author = {Harri Ojanen},
journal= {arXiv preprint arXiv:math/9807089},
year = {2007}
}
备注
18 pages, 8 figures