| 构造正交小波基的基本方法之一 |
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| 引用本文： | 杨爱珍.构造正交小波基的基本方法之一[J].应用数学与计算数学学报,1998,12(2):39-45. |
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| 作者姓名： | 杨爱珍 |
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| 作者单位： | 上海财经大学基础部 上海，200433 |
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| 摘 要： | 本文不仅给出一种构造局部性好的正交小波基的方法,并且给出了构造各种优良性质的正交小波基的一般思想方法。其特点:使构造的小波母函数有具体的表达式,既有较好的光滑性,又有很好的局部性,并且其收敛速度与│t│~（-（3k 1））同阶,其中k为任意自然数。这种方法不需要每次重新构造函数,只要改变k的值,就能满足不同实际问题的需要。
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| 关 键 词： | 小波 小波基 小波母函数 等距同构 |
A Basic Method to Build an Orthogonal Wavelet Basis |
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| AIZHEN YANG.A Basic Method to Build an Orthogonal Wavelet Basis[J].Communication on Applied Mathematics and Computation,1998,12(2):39-45. |
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| Authors: | AIZHEN YANG |
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| Abstract: | This paper presents not only a luothod to build an orthogonal wavelet basis of locality wcli but also a general mothod to build an orthogonal wavelet basis of all kinds of good quality. Its character: mother wavelet has concrete expression, better properties in smoothners and locality. This wavelet's order at which it converges to zero can reach to O(|t|-(3k l), the k is arbitrary natural number. This method needn't rebuild function only if k is changed. This method can satisfiet all kinds of goals. |
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| Keywords: | wavelet wavelet basis mother wavelet isometric isomorphism |
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