Parallel Multiresolution Wavelet Transform(WT) and Its Implmentation

Li Jun; Hu Jiasheng

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Parallel Multiresolution Wavelet Transform(WT) and Its Implmentation

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- Parallel Multiresolution Wavelet Transform(WT) and Its Implmentation
- Optics and Precision Engineering Vol. 3, Issue 1, Pages: 34-39(1995)
- 作者机构：
  
  中国科学院长春光学精密机械研究所, 长春130021
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：27 July 1994，
  
  Published Online：15 February 1995，
  
  Published：15 February 1995
- 稿件说明：
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李骏, 胡家升. 并行多分辨率子波变换(WT)及其实现方法研究I.理论部分[J]. 光学精密工程, 1995,(1): 34-39

Li Jun, Hu Jiasheng. Parallel Multiresolution Wavelet Transform(WT) and Its Implmentation[J]. Editorial Office of Optics and Precision Engineering, 1995,(1): 34-39
李骏, 胡家升. 并行多分辨率子波变换(WT)及其实现方法研究I.理论部分[J]. 光学精密工程, 1995,(1): 34-39 DOI：

Li Jun, Hu Jiasheng. Parallel Multiresolution Wavelet Transform(WT) and Its Implmentation[J]. Editorial Office of Optics and Precision Engineering, 1995,(1): 34-39 DOI：

摘要

子波变换是一种新的信号(图像)处理方法

它不再采用固定的积分核

其积分变换基底由母函数通过扩和位移操作来产生

因而具有很多与傅立叶变换根本不同的性质。本文给出了子波变换的一般理论

描述了一种新的母函数归一化方法

并推导了在此情况下逆变换存在的条件。

Abstract

Wavelet transform is a new method for signal and image processing. Unlike Fouriortransform

its integral kernel is unfixed. Its basis set is produced by mother function via dilation and shift operation

In this paper

the general theory of the wavelet transform(WT) isgiven. A new normolization method is discribed and the admissible condition of inversewavelet transform under this case is also derived.

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