| 基于加权正交多项式的M进制类小波基的构造 |
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| 引用本文： | 高丽,闫传鹏,林伟. 基于加权正交多项式的M进制类小波基的构造[J]. 工程数学学报, 2005, 22(6): 1063-1069 |
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| 作者姓名： | 高丽 闫传鹏 林伟 |
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| 作者单位： | 华南理工大学数学科学学院,广州,510640;浙江科技学院理学系,杭州,310012;中山大学数学系,广州,510275 |
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| 基金项目： | 香港-中山大学合作项目 |
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| 摘 要： | 本文运用加权正交多项式和频带有限小波函数构造了L^2（[c,d]）空间的M进制类小波基,使该类小波基具有解析表达式和消失距性质,并给出了它的小波分解与重构算法和L^2（[c,d]）空间的多分辨分解.
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| 关 键 词： | 加权正交多项式 M进制多分辨分析 正交小波基 类小波基 |
| 文章编号： | 1005-3085(2005)06-1063-07 |
| 收稿时间： | 2004-01-26 |
| 修稿时间： | 2004-01-26 |
The Construction of M-band Wavelet-like Bases by Weighted Orthogonal Ploynomials |
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| GAO Li,YAN Chuan-peng,LIN Wei. The Construction of M-band Wavelet-like Bases by Weighted Orthogonal Ploynomials[J]. Chinese Journal of Engineering Mathematics, 2005, 22(6): 1063-1069 |
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| Authors: | GAO Li YAN Chuan-peng LIN Wei |
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| Abstract: | In this paper, we construct M-band wavelet-like bases of L2[c, d] based on weighted orthogonal polynomials and band-limited wavelet functions, which have explicit expressions and vanishing moment property. Efficient wavelet decomposition, reconstruction algorithms and multiresolution decomposition of L2([c, d]) are also derived. |
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| Keywords: | weighted orthogonal polynomial M-band multiresolution analysis orthogonal wavelet bases wavelet-like bases |
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