摘要
本文研究了在时域内小波的一种表达形式.利用正交规范化,获得了小波的有限差分表示.不仅该形式构造了任意次B样条正交小波.而且在时域中用来直接获得小波滤波器是有效的.
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.
出处
《数学杂志》
CSCD
北大核心
2008年第3期249-257,共9页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(10371122)
关键词
有限差分表示
B样条小波
多分辨分析
Finite difference representation
B-splines wavelets
multiresolution analysis
