| 摘要: |
| 基于Mallat的多分辨分析理论,利用小波的传递函数构造法,构造出一种新的任意阶B样条小波.新构造出的样条小波表达式简单,且两尺度序列及其对偶很容易求得.该方法易于对信号进行小波分解与重构. |
| 关键词: 样条小波 尺度函数 传递函数 对偶 |
| DOI： |
| 投稿时间：2005-11-21 |
| 基金项目: |
|
| Construction of a New Spline Wavelet |
|
YANG Mei-xiang, DING Xuan-hao
|
| (Department of Computational Science and Mathematics, Guilin Institute of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| Based on Mallat's multi-resolution analysis,the arbitrary order B-spline wavelet is constructed by using the method of construction of wavelet from their transfer functions.The B-spline wavelets have simple expressions and the two-scale sequences and their dual are easily obtained.The decomposition and reconstruction algorithms of signals are easily realized using the present method. |
| Key words: spline wavelet scaling function transfer function dual |
