| 基于正交规范化的小波的有限差分表示 |
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| 引用本文： | 魏文斌,袁俊泉,刘伟明,刘清国.基于正交规范化的小波的有限差分表示[J].数学杂志,2008,28(3):249-257. |
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| 作者姓名： | 魏文斌 袁俊泉 刘伟明 刘清国 |
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| 作者单位： | 1. 空军雷达学院四系,湖北武汉,430019
2. 北京石油化工学院数理部,北京,102617 |
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| 摘 要： | 本文研究了在时域内小波的一种表达形式.利用正交规范化,获得了小波的有限差分表示.不仅该形式构造了任意次B样条正交小波.而且在时域中用来直接获得小波滤波器是有效的.
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| 关 键 词： | 有限差分表示 B样条小波 多分辨分析 Finite difference representation B-splines wavelets multiresolution analysis 正交小波 规范化 小波滤波器 有限差分表示 BASED WAVELETS REPRESENTATION result used wavelet filters effective construct orthogonal order form special case finite difference technique kind |
| 文章编号： | 0255-7797(2008)03-0249-09 |
| 修稿时间： | 2005年10月25 |
A FINITE DIFFERENCE REPRESENTATION OF WAVELETS BASED ON ORTHONORMALIZATION |
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| WEI Wen-bin,YUAN Jun-quan,LIU Wei-ming,LIU Qing-guo.A FINITE DIFFERENCE REPRESENTATION OF WAVELETS BASED ON ORTHONORMALIZATION[J].Journal of Mathematics,2008,28(3):249-257. |
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| Authors: | WEI Wen-bin YUAN Jun-quan LIU Wei-ming LIU Qing-guo |
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| Abstract: | In this paper, we investigate a kind of representation of wavelets in time domain. Using the orthonormalization technique, we obtain a finite difference representation of wavelets. What's more, as a special case, we construct orthogonal B-spline wavelets of arbitrary order in this form. The result shows that this kind of representation used to obtain the wavelet filters directly is effective in time domain. |
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| Keywords: | Finite difference representation B-splines wavelets multiresolution analysis |
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