| 紧支撑向量值小波的构造与性质 |
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| 引用本文： | 李华.紧支撑向量值小波的构造与性质[J].天中学刊,2007,22(5):9-13. |
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| 作者姓名： | 李华 |
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| 作者单位： | 信阳职业技术学院,河南,信阳,464000 |
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| 摘 要： | 引进向量值多分辨分析和向量值正交小波的概念,给出了向量值正交小波存在的充分必要条件;运用多分辨分析方法和矩阵理论,给出了一类紧支撑向量值正交小波的构造算法;给出了3-系数向量值正交小波的构造算例.
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| 关 键 词： | 向量值多分辨分析 向量值尺度函数 向量值正交小波 矩阵伸缩方程 正定矩阵 |
| 文章编号： | 1006-5261（2007）05-0009-05 |
| 收稿时间： | 2007-06-11 |
| 修稿时间： | 2007-06-11 |
Construction and Properties of Compactly Supported Vector-Valued Wavelets |
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| LI Hua.Construction and Properties of Compactly Supported Vector-Valued Wavelets[J].Journal of Tianzhong,2007,22(5):9-13. |
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| Authors: | LI Hua |
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| Institution: | Xinyang Vocational and Technical College, Xinyang Henan 464000, China |
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| Abstract: | The concept of vector-valued multi-resolution analysis and vector-valued orthogonal wavelets is introduced.A necessary and sufficient condition for the existence of orthogonal vector-valued wavelets is given.The construction algorithm of compactly supported orthogonal vector-valued wavelets is also given by means of multi-resolution analysis and matrix theory.Finally,an example for constructing the vector-valued wavelets with 3-coefficient is given. |
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| Keywords: | vector-valued multi-resolution analysis vector-valued scaling functions vector-valued wavelets matrix dilation equation positive definite matrix |
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