| 基于Haar小波的尺度函数与小波构造 |
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| 引用本文： | 张同琦. 基于Haar小波的尺度函数与小波构造[J]. 渭南师范学院学报, 2006, 21(2): 11-12,40 |
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| 作者姓名： | 张同琦 |
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| 作者单位： | 渭南师范学院,数学系,陕西,渭南,714000 |
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| 基金项目： | 渭南师范学院校科研和教改项目 |
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| 摘 要： | 以Haar小波和B-样条函数为基础,利用函数卷积构造了一类尺度函数与小波,得到了尺度函数与对应小波两尺度符号的条件,并通过构造实例加以说明.
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| 关 键 词： | Haar小波 B-样条函数 尺度函数与小波 |
| 文章编号： | 1009-5128（2006）02-0011-02 |
| 收稿时间： | 2005-05-11 |
| 修稿时间： | 2005-05-11 |
Construct a Class of Scaling Functions and Associated Wavelets Based on Haar Wavelet |
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| ZHANG Tong-qi. Construct a Class of Scaling Functions and Associated Wavelets Based on Haar Wavelet[J]. Journal of Weinan Teachers College, 2006, 21(2): 11-12,40 |
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| Authors: | ZHANG Tong-qi |
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| Affiliation: | Department of Mathematics, Weinan Teachers College, Weinan 714000, China |
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| Abstract: | Based on Harr wavelet and B-spline functions,we construct a class of scaling functions and associated wavelets by the convolution of functions and obtain the relations between symbol of scaling functions and that of associated wavelets.Examples are given to explain the method. |
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| Keywords: | Haar wavelet B-splines wavelets and scaling function |
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