| 一类向量值正交小波的构造算法 |
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| 引用本文： | 陈清江,王翠玲,吴国昌,程正兴. 一类向量值正交小波的构造算法[J]. 工程数学学报, 2007, 24(2): 265-272 |
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| 作者姓名： | 陈清江 王翠玲 吴国昌 程正兴 |
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| 作者单位： | 西安建筑科技大学理学院,西安,710055;西安交通大学理学院,西安,710049;西安交通大学理学院,西安,710049;西安外事学院,西安,710077 |
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| 摘 要： | 引进向量值多分辨分析与向量值正交小波的概念。运用矩阵理论与仿酉向量滤波器理论,给出了向量值正交小波存在的充要条件。提供了一类紧支撑向量值正交小波的构造算法。
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| 关 键 词： | 向量值多分辨分析 向量值正交小波 加细方程 正定矩阵 |
| 文章编号： | 1005-3085(2007)02-0265-08 |
| 修稿时间： | 2005-05-25 |
An Algorithm for Constructing a Class of Orthogonal Vector-valued Wavelets |
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| CHEN Qing-jiang,WANG Cui-ling,WU Guo-chang,CHENG Zheng-xing. An Algorithm for Constructing a Class of Orthogonal Vector-valued Wavelets[J]. Chinese Journal of Engineering Mathematics, 2007, 24(2): 265-272 |
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| Authors: | CHEN Qing-jiang WANG Cui-ling WU Guo-chang CHENG Zheng-xing |
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| Abstract: | The notion of vector-valued multiresolution analysis is introduced, and the definition of orthogonal vector-valued wavelets is given. A sufficient and necessary condition for the existence of compactly supported orthogonal vector-valued wavelets is deriven by means of paraunitary vector filter bank theory and matrix theory. An algorithm for constructing a class of compactly supported orthogonal vector-valued wavelets with scale 2 is presented. |
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| Keywords: | vector-valued multiresolution analysis vector-valued wavelets refinement equation positive definite matrix |
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