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| 数量矩阵伸缩的高维矩阵值小波包 | |
| 引用本文： | 李华,李杰,江晓武,方勤华.数量矩阵伸缩的高维矩阵值小波包[J].江西师范大学学报(自然科学版),2007,31(4):370-374. |
| 作者姓名： | 李华 李杰 江晓武 方勤华 |
| 作者单位： | 1. 信阳职业技术学院,数学与计算机系,河南,信阳,464000 2. 商丘职业技术学院,计算机系,河南,商丘,476000 3. 信阳师范学院,数学科学学院,河南,信阳,464000 |
| 摘 要： | 研究高维矩阵值双正交小波包的构造及性质.引进了基于数量矩阵伸缩的紧支撑高维矩阵值正交小波包的概念.运用傅立叶变换、积分变换和算子理论,讨论了它们的性质,得到关于高维矩阵值小波包的双正交公式. |
| 关 键 词： | 双正交 高维 矩阵值多分辨分析 矩阵值尺度函数 矩阵值小波包 |
| 文章编号： | 1000-5862（2007）04-0370-05 |
| 修稿时间： | 2007-04-16 |
Multivariate Matrix-Valued Wavelet Packets Associated with a Quantity Dilation Matrix |
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| LI Hua,LI Jie,JIANG Xiao-wu,FANG Qin-hua.Multivariate Matrix-Valued Wavelet Packets Associated with a Quantity Dilation Matrix[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2007,31(4):370-374. | |
| Authors: | LI Hua LI Jie JIANG Xiao-wu FANG Qin-hua |
| Institution: | 1. Depterment of Math and Computer ; Xinyang Vocational and Technical College, Xinyang Henan 464000, China; 2. Departement of Computer, Shangqiu Vocational and Technical College, Shangqiu Henan 476000, China; 3. College of Math and Information Science, Xinyang Normal Unversity, Xinyang Henan 464000, China |
| Abstract: | This article is to investigate biorthogonal matrix-valued wavelet packets in higher dimensions.A class of compactly supported biorthogonal matrix-valued multivariate wavelet packets are defined and constructed.The properties of the biorthogoanl multivariate matrix-valued wavelet packets are investigated and biorthogonality formulae are obtained by using the Fourier transform and operator theoy. |
| Keywords: | biorthogonal multivariate matrix-valued multiresolution analysis matrix-valued scaling function matrix-valued wavelet packets |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |