| 一类二元半正交小波包的构造 |
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| 引用本文： | 孙云志,杨建伟.一类二元半正交小波包的构造[J].应用数学,2005(Z1). |
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| 作者姓名： | 孙云志 杨建伟 |
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| 作者单位： | 中国科技大学统计与金融系 河南财经学院计算机科学系 安徽合肥 香港浸会大学数学系 香港九龙塘 河南郑州 |
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| 摘 要： | 本文给出伸缩矩阵行列式为2的一类二元半正交小波包的构造算法.该小波包是以频域给出的,随着用于小波包分裂的滤波器选取的不同会得到L2(R2)中形态各异的Riesz基,这样使得L2(R2)中小波基的选择更灵活.
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| 关 键 词： | 尺度函数 小波 小波包 |
A Class of Bivariate Semi-orthogonal Wavelet Packets |
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| SUN Yun-zhi.A Class of Bivariate Semi-orthogonal Wavelet Packets[J].Mathematica Applicata,2005(Z1). |
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| Authors: | SUN Yun-zhi |
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| Institution: | SUN Yun-zhi~ |
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| Abstract: | In this paper,we give an algorithm for constructing semi-orthogonal wavelet packets of arbitrary integer-valued dilation matrix whose determinantis is 2.These wavelet packets are given in frequence domain.The decomposition coefficients can be get from vary filter banks,therefore we can draw bases for L~2(R~2) from this wavelet packets flexible.This gives us a chance to construct various bases of L~2(R~2) according to any practical problem at hand. |
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| Keywords: | Scaling function Wavelet Wavelet packets |
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