| 紧支集正交小波的自动联系函数及其导数运算 |
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| 引用本文： | 张新红,徐长发.紧支集正交小波的自动联系函数及其导数运算[J].河南师范大学学报(自然科学版),1997,25(4):21-25. |
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| 作者姓名： | 张新红 徐长发 |
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| 作者单位： | 华中理工大学数学系 |
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| 摘 要： | 本文较为详细地给出了紧支集正交小波的自动联系函数的性质，并且显式给出了其导数计算的算法，对于常用的一阶和二阶导数，给出了它在正整节点处的数据表．
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| 关 键 词： | 尺度函数 自动联系函数 多分辨分析 |
The Autocorrelation Functions of Compactly Supported Wavelets and Its Differential Operators |
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| Zhang Xinhong,Xu Changfa.The Autocorrelation Functions of Compactly Supported Wavelets and Its Differential Operators[J].Journal of Henan Normal University(Natural Science),1997,25(4):21-25. |
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| Authors: | Zhang Xinhong Xu Changfa |
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| Abstract: | In this paper, we introduce the properties of the autocorrelation functions of compactly supported wavelets in detail and give exact and explicit representation of its differential operators. The first and second derivatives of the autocorrelation of Daubechies's wavelets with M=3,4,5,6,7,8 in integer points are displayed. |
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| Keywords: | scaling function autocorrelation multiresolution analysis |
| 本文献已被 CNKI 维普 等数据库收录！ |
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