| 矩阵伸缩的高维向量值小波包 |
| |
| 引用本文： | 陈清江,程正兴,李学志.矩阵伸缩的高维向量值小波包[J].数学研究及应用,2007,27(1):165-172. |
| |
| 作者姓名： | 陈清江 程正兴 李学志 |
| |
| 作者单位： | 1. 西安交通大学理学院,陕西,西安,710049
2. 信阳师范学院数学系,河南,信阳,464000 |
| |
| 基金项目： | 国家自然科学基金;河南省自然科学基金 |
| |
| 摘 要： | 本文给出了对应于任意整数矩阵伸缩的高维向量值正交小波包的定义及其构造方法．并讨论了这种向量值正交小波包的性质,得到向量值函数空间L2(Rs,Cr)的新的正交小波基．
|
| 关 键 词： | 伸缩矩阵 向量值多分辨分析 向量值尺度函数 向量值小波包 加细方程 |
| 文章编号： | 1000-341X(2007)01-0165-08 |
| 收稿时间： | 2005/5/30 0:00:00 |
| 修稿时间： | 05 30 2005 12:00AM |
Multivariate Vector-valued Wavelet Packets Associated with the Dilation Matrix |
| |
| CHEN Qing-jiang,CHENG Zheng-xing and LI Xue-zhi.Multivariate Vector-valued Wavelet Packets Associated with the Dilation Matrix[J].Journal of Mathematical Research with Applications,2007,27(1):165-172. |
| |
| Authors: | CHEN Qing-jiang CHENG Zheng-xing and LI Xue-zhi |
| |
| Affiliation: | School of Science, Xi'an Jiaotong University, Shaanxi 710049, China;School of Science, Xi'an Jiaotong University, Shaanxi 710049, China;Department of Mathematics, Xinyang Teachers College, Henan 464000, China |
| |
| Abstract: | In this paper, we introduce the notion of orthogonal vector-valued wavelet packets in higher dimensions associated with a given integer-valued dilation matrix. A procedure for constructing the orthogonal multivariate vector-valued wavelet packets is presented. The properties of the multivariate vector-valued wavelet packets have been discussed. Moreover, several new orthogonal bases of L2(RS, Cr) are constructed by using the orthogonal vector-valued wavelet packets. |
| |
| Keywords: | dilation matrix vector-valued multiresolution analysis vector-valued scaling functions vector-valued wavelet packets refinement equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
|
