| 多尺度双正交多小波包的构造 |
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| 引用本文： | 张晓威,刘军,朱磊.多尺度双正交多小波包的构造[J].哈尔滨工程大学学报,2006,27(6):927-930. |
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| 作者姓名： | 张晓威 刘军 朱磊 |
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| 作者单位： | 哈尔滨工程大学,理学院,黑龙江,哈尔滨,150001 |
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| 摘 要： | 给出了双正交多小波包的构造方法,证明了多小波包对应于传统小波包的一些良好性质.通过将小波包的概念引入到双正交的多小波中,构造出了多尺度双正交多小波包;给出了双正交多小波包中函数傅里叶变换的具体表达形式;证明了双正交多小波包中2簇函数相互之间的双正交关系;利用建立的双正交多小波包,得到L2(R)2组基,满足双正交关系.该方法具有较大的应用价值.
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| 关 键 词： | 多小波 双正交多小波包 双正交多重尺度函数 |
| 文章编号： | 1006-7043(2006)06-0927-04 |
| 修稿时间： | 2005年10月9日 |
Construction of bi-orthogonal multiwavelet packets with multi-scale |
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| ZHANG Xiao-wei,LIU Jun,ZHU Lei.Construction of bi-orthogonal multiwavelet packets with multi-scale[J].Journal of Harbin Engineering University,2006,27(6):927-930. |
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| Authors: | ZHANG Xiao-wei LIU Jun ZHU Lei |
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| Abstract: | A method for construction of biorthogonal multiwavelet packets with multi-scale was presented and some good properties of multiwavelet packets,which were parallel to the properties of traditional wavelet packets,were proved in this paper.By introducing the concept of wavelet packets into biorthogonal mltiwavelet packets,the multiscaling biorthogonal multiwavelet packets were constructed.And the Fourier transform of functions was obtained;the biorthogonal relation of two families of functions in biorthogonal multiwavelet packets was pcovided.By constructing biorthogonal multiwavelet packets,two bases of L~2(R) which satisfies biorthogonal relation as well.The method presented is greatly valuable in application. |
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| Keywords: | multiwavelet biorthogonal multiwavelet packets biorthogonal multiscaling function |
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