| a尺度双正交多小波 |
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| 引用本文： | 徐琼. a尺度双正交多小波[J]. 西南科技大学学报, 2007, 22(4): 79-82 |
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| 作者姓名： | 徐琼 |
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| 作者单位： | 成都信息工程学院计算科学系,四川成都,610225 |
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| 摘 要： | 讨论了a尺度双正交多尺度函数的一个性质,在a尺度双正交单尺度函数与a尺度双正交多尺度函数之间建立了一种联系,证明了由任意a尺度双正交单尺度函数和任意一组双正交滤波器生成a尺度双正交多尺度函数的一个充分必要条件,并用这种a尺度双正交多尺度函数构造出一种a尺度双正交多小波。
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| 关 键 词： | r重多分辨分析 a尺度双正交多尺度函数 a尺度双正交多小波 |
| 文章编号： | 1671-8755(2007)04-0079-04 |
| 修稿时间： | 2007-08-31 |
Biorthogonal Multiwavelet with Dilation Factor a |
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| XU Qiong. Biorthogonal Multiwavelet with Dilation Factor a[J]. Journal of Southwest University of Science and Technology, 2007, 22(4): 79-82 |
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| Authors: | XU Qiong |
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| Abstract: | One of the characteristics of the biorthogonal multiscaling function was discussed.A kind of connection was built between the biorthogonal uni-scaling function with dilation factor a and the biorthogonal multiscaling function with dilation factor a.Then a sufficient and necessary condition was validated that the biorthogonal multiscaling function with dilation factor a can be constructed by arbitary biorthogonal uni-scaling function with dilation factor a and biorthogonal filter.And this biorthogonal multiscaling function with dilation factor a was applied to build a kind of biorthogonal multiwavelet with dilation factor a. |
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| Keywords: | MRA of multiplicity r Biorthogonal multiscaling function with dilation factor a |
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