| 摘要: |
| 根据连续小波的定义证明Haar小波和Mexico帽小波为基小波,提出一种基于卷积构造基小波的方法并证明尺度函数和多分辨分析生成的小波是基小波。 |
| 关键词: 小波 基小波 尺度函数 多分辨分析 |
| DOI： |
| 投稿时间：2006-02-08修订日期：2006-03-22 |
| 基金项目:广西自然科学基金(桂科自0542046)资助 |
|
| A Note on Continuous Wavelet Transform |
|
ZHANG Xiao-gui, DING Xuan-hao
|
| (Department of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The comparison of several definitions of CWT indicates that Haar wavelet and Mexico wavelet are base wavelet.Then one method of constructing base wavelet based on convolution is put forward.It is proved that wavelets produced by scale functions are base wavelet. |
| Key words: wavelet base wavelet scale function MRA |
