| 一类紧支撑对称双正交小波 |
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| 引用本文： | 杨守志,刘华伟. 一类紧支撑对称双正交小波[J]. 工程数学学报, 2009, 26(6) |
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| 作者姓名： | 杨守志 刘华伟 |
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| 作者单位： | 汕头大学数学系,广东汕头,515063;汕头大学数学系,广东汕头,515063 |
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| 基金项目： | The Natural Science Foundation of Guangdong Province (06105648;05008289) |
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| 摘 要： | 摘要:研究伸缩因子为3紧支撑对称双正交小波的构造问题.任给一个插值对称的加细函数,本文提供 一个构造其对偶尺度函数的迭代算法,其对偶尺度函数的正则性可以达到任意水平,讨论了它的一些性 质,如对称性和衰减性.最后,给出构造算例.
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| 关 键 词： | 紧支撑 双正交的 对称的 插值 尺度函数 |
A Class of Compactly Supported Symmetric Biorthogonal Wavelets |
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| YANG Shou-zhi,LIU Hua-wei. A Class of Compactly Supported Symmetric Biorthogonal Wavelets[J]. Chinese Journal of Engineering Mathematics, 2009, 26(6) |
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| Authors: | YANG Shou-zhi LIU Hua-wei |
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| Affiliation: | YANG Shou-zhi,LIU Hua-wei(Department of Mathematics,Shantou University,Shantou Guangdong 515063) |
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| Abstract: | This paper considers the construction of 3-band compactly supported symmetric biorthogonal wavelets.Given an interpolatory refinable function,we present an explicit iterative algorithm for constructing its dual scaling function with desired regularity,and discuss the properties of the constructed scaling function,such as its symmetry and decay.Finally,several design examples are given. |
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| Keywords: | compactly supported biorthogonal symmetric interpolating scaling function Classification AMS(2000) 42C15 94A12 |
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