| 向量值正交小波的构造与向量值小波包的特征 |
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| 引用本文： | 陈清江,刘洪运.向量值正交小波的构造与向量值小波包的特征[J].数学季刊,2008,23(3). |
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| 作者姓名： | 陈清江 刘洪运 |
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| 作者单位： | [1]School of Science, Xi＇an University of Architecture and Technology, Xi＇an 710055, China [2]Institute of Higher Vocational Education, Shangqiu Vocational and Technical College, Shangqiu 476000, China |
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| 基金项目： | Science Research Foundation of Education Department of Shaanxi Province，西安建筑科技大学基金 |
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| 摘 要： |
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| 关 键 词： | 向量值正交小波 构造 向量值 小波包 特征 |
Construction of Orthogonal Vector-valued Wavelets and Characteristics of Vector-valued Wavelet Packets |
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| CHEN Qing-jiang LIU Hong-yun.Construction of Orthogonal Vector-valued Wavelets and Characteristics of Vector-valued Wavelet Packets[J].Chinese Quarterly Journal of Mathematics,2008,23(3). |
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| Authors: | CHEN Qing-jiang LIU Hong-yun |
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| Abstract: | The notion of vector-valued multiresolution analysis is introduced and the concept of orthogonal vector-valued wavelets with 3-scale is proposed.A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is given by means of paraunitary vector filter bank theory.An algorithm for constructing a class of compactly supported orthogonal vector-valued wavelets is presented.Their characteristics is discussed by virtue of operator theory,time-frequency method.Moreover,it is shown how to design various orthonormal bases of space L2(R,Cn) from these wavelet packets. |
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| Keywords: | orthogonal Hermitian matrix vector-valued multiresolution analysis vectorvalued scaling functions vector-valued wavelets vector-valued wavelet packets |
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