| 向量值双正交小波的存在性及滤波器的构造 |
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| 引用本文： | 陈清江,陈瑛. 向量值双正交小波的存在性及滤波器的构造[J]. 纯粹数学与应用数学, 2008, 24(1): 10-16 |
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| 作者姓名： | 陈清江 陈瑛 |
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| 作者单位： | 西安建筑科技人学理学院,陕西,西安,710055;漯河职业技术学院,河南,漯河,462002 |
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| 基金项目： | 国家自然科学基金，西安建筑科技大学人才基金与基础研究基金 |
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| 摘 要： | 引进了向量值多分辨分析与向量值双正交小波的概念.讨论了向量值双正交小波的存在性.运用多分辨分析和矩阵理论,给出一类紧支撑向量值双正交小波滤波器的构造算法.最后,给出4-系数向量值双正交小波滤波器的的构造算例.
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| 关 键 词： | 双正交 向量值多分辨分析 向量值尺度函数 向量值小波 加细方程 |
| 文章编号： | 1008-5513(2008)01-0010-07 |
| 修稿时间： | 2005-11-10 |
On the existence and the construction of biorthogonal vector-valued wavelets |
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| CHEN Qing-jiang,CHEN Ying. On the existence and the construction of biorthogonal vector-valued wavelets[J]. Pure and Applied Mathematics, 2008, 24(1): 10-16 |
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| Authors: | CHEN Qing-jiang CHEN Ying |
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| Affiliation: | CHEN Qing-jiang School of Science,Xi'an University of Architecture , Technology,Xi'an 710055,China CHEN Ying Luohe Vocational , Technical College,Luohe 462002,China |
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| Abstract: | The notion of vector-valued multiresolution analysis is introduced and the definition of biorthogonal vector-valued wavelets is given.The existence of biorthogonal compactly supported vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated.An algorithm for constructing a class of biorthogonal compactly supported vector-valued wavelets is presented by virtue of multiresolution analysis and matrix theory.A constructive example of filter... |
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| Keywords: | biorthogonal vector-valued multiresolution analysis vector-valued scaling functions vector-valued wavelets refinement equation |
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