| 一类紧支撑矩阵值正交小波的构造 |
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| 引用本文： | 陈清江,程传蕊,程正兴.一类紧支撑矩阵值正交小波的构造[J].数学季刊,2006,21(4). |
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| 作者姓名： | 陈清江 程传蕊 程正兴 |
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| 作者单位： | Faculty of Science Xi'an Jiaotong University，Elementary Department，Luohe Vocational Technology College，Faculty of Science，Xi'an diaotong University，Xi'an 710049，China College of Science，Xi'an University of Architecture and Technology，Xi'an，710055，China，Luohe 462002，China，Xi'an 710049，China |
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| 基金项目： | Supported by the Natural Science Foundation of Henan(0211044800) |
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| 摘 要： | In this paper,we introduce matrix-valued multiresolution analysis and orthogonal matrix-valued wavelets.We obtain a necessary and sufficient condition on the existence of orthogonal matrix-valued wavelets by means of paraunitary vector filter bank theory.A method for constructing a class of compactly supported orthogonal matrix-valued wavelets is proposed by using multiresolution analysis method and matrix theory.
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The Construction of a Class of Compactly Supported Orthogonal Matrix-valued Wavelets |
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| CHEN Qing-jiang,CHENG Chuan-rui,CHENG Zheng-xing.The Construction of a Class of Compactly Supported Orthogonal Matrix-valued Wavelets[J].Chinese Quarterly Journal of Mathematics,2006,21(4). |
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| Authors: | CHEN Qing-jiang CHENG Chuan-rui CHENG Zheng-xing |
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| Abstract: | In this paper,we introduce matrix-valued multiresolution analysis and orthogonal matrix-valued wavelets.We obtain a necessary and sufficient condition on the existence of orthogonal matrix-valued wavelets by means of paraunitary vector filter bank theory.A method for constructing a class of compactly supported orthogonal matrix-valued wavelets is proposed by using multiresolution analysis method and matrix theory. |
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| Keywords: | orthogonal matrix-valued multiresolution analysis matrix-valued scal-ing funnctions matrix-valued wavelets Hermitian matrix |
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