| 高维多重向量值正交小波包的研究 |
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| 引用本文： | 闫杰生,王翠玲,陈清江.高维多重向量值正交小波包的研究[J].兰州理工大学学报,2007,33(2):141-144. |
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| 作者姓名： | 闫杰生 王翠玲 陈清江 |
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| 作者单位： | 1. 商丘职业技术学院,计算机系,河南,商丘,476000
2. 西安交通大学,理学院,陕西,西安,710049 |
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| 基金项目： | 河南省自然科学林省教育厅规划项目 |
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| 摘 要： | 引进向量值多分辨分析,给出对应于高维多重向量值正交尺度函数的多重向量值小波包的定义及其构造方法.运用代数学理论,积分变换与算子理论,讨论高维多重向量值正交小波包的性质.
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| 关 键 词： | 高维 正交 向量值尺度函数 向量值多分辨分析 向量值小波包 |
| 文章编号： | 1673-5196（2007）02-0141-04 |
| 收稿时间： | 2005-12-16 |
| 修稿时间： | 2005年12月16 |
A study of higher-dimensional orthogonal multiple vector-valued wavelet packets |
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| YAN Jie-sheng,WANG Cui-ling,CHEN Qing-jiang.A study of higher-dimensional orthogonal multiple vector-valued wavelet packets[J].Journal of Lanzhou University of Technology,2007,33(2):141-144. |
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| Authors: | YAN Jie-sheng WANG Cui-ling CHEN Qing-jiang |
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| Abstract: | The vector-valued multi-resolution analysis was introduced.The definition of multiple vector-valued wavelet packets associated with the orthogonal multiple vector-valued multivariable scaling functions and its constitutive procedure were given.The properties of above-mentioned wavelet packets were investigated by using algebra theory,integral transform,and operator theory. |
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| Keywords: | Higher-dimension orthogonality vector-valued scaling functions vector-valued multiresolution analysis vector-valued wavelet packets |
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