| 一种构造正交小波基的新方法 |
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| 引用本文： | 彭瑞仁 陈基明. 一种构造正交小波基的新方法[J]. 应用数学与计算数学学报, 1994, 8(2): 84-91,51 |
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| 作者姓名： | 彭瑞仁 陈基明 |
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| 作者单位： | 上海大学理学院数学系 上海200072 |
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| 摘 要： | 本文给出了构造正交小波基的一种新的方法,主要是通过改造钟形函数来构造有具体表达式的小波母函数,在光滑性,局部性等性质上优于一般的构造方法,其收敛于零的阶数可达到O(|t|~(-N)),N≥4。而且更进一步在S空间上构造出收敛更快的小波母函数。
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| 关 键 词： | 小波母函数 等距同构 小波分析 正交小波基 |
A New Method to Contruct Orthogonal Wavelet Basis |
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| Pen Ruiren Chen Jimin. A New Method to Contruct Orthogonal Wavelet Basis[J]. Communication on Applied Mathematics and Computation, 1994, 8(2): 84-91,51 |
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| Authors: | Pen Ruiren Chen Jimin |
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| Abstract: | This paper presents a new method to build an orthogonal wavelet basis mainly by modifying bell-shaped functions to construct a mother wavelet (function) which is in detailed expression and has better properties in smoothness and locality. This wavelet's order at which it converges to zero can reach to O(|t|-N),N>4. Furthermore, a wavelet which converges more quickly ti zero in space has been built. |
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| Keywords: | mother wavelet isometrically isomorphism embed S-space. |
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