数学杂志2008，Vol.28Issue(3)：249-257,9.
基于正交规范化的小波的有限差分表示
A FINITE DIFFERENCE REPRESENTATION OF WAVELETS BASED ON ORTHONORMALIZATION
摘要
Abstract
In this paper, we investigate a kind of representation of wavelets in time domain. Using the orthonormalization technique, we obtain a finite difference representation of wavelets. What's more, as a special case, we construct orthogonal B-spline wavelets of arbitrary order in this form. The result shows that this kind of representation used to obtain the wavelet filters directly is effective in time domain.关键词
有限差分表示/B样条小波/多分辨分析Key words
Finite difference representation/B-splines wavelets/multiresolution analysis分类
数理科学引用本文复制引用
魏文斌,袁俊泉,刘伟明,刘清国..基于正交规范化的小波的有限差分表示[J].数学杂志,2008,28(3):249-257,9.基金项目
Supported by National Natural Science Foundation of China(10371122) （10371122）
