Operator Matrix of the Orthogonal Wavelet (Packets) Transforms

MENG Hong-ying; LIU Gui-zhong; WANG Zhi-hua

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Operator Matrix of the Orthogonal Wavelet (Packets) Transforms

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- Operator Matrix of the Orthogonal Wavelet (Packets) Transforms
- Acta Electronica Sinica Vol. 29, Issue 5, Pages: 675-677(2001)
- 作者机构：
  
  1. 清华大学电子工程系,北京,100084
  2. 西安交通大学电信学院,西安,710049
  3. 清华大学电子工程系北京,100084
  4. 西安交通大学电信学院西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published Online：25 May 2001，
  
  Published：2001
- 稿件说明：
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MENG Hong-ying, LIU Gui-zhong, WANG Zhi-hua. Operator Matrix of the Orthogonal Wavelet (Packets) Transforms[J]. Acta Electronica Sinica, 2001, 29(5): 675-677.
DOI：

MENG Hong-ying, LIU Gui-zhong, WANG Zhi-hua. Operator Matrix of the Orthogonal Wavelet (Packets) Transforms[J]. Acta Electronica Sinica, 2001, 29(5): 675-677. DOI：

摘要

本文采用纯数学的方式

构造性地直接证明了对于长度为2的整数次幂的有限长离散信号

它的有限支撑的正交小波(包)变换算子可以用一个大小与信号长度一样的正交矩阵来表示

并且给出了该矩阵构造的一般方法和规律.

Abstract

In this paper

it is directly and constructively proved that the orthogonal compactly supported wavelet (packets) Transform operator of a finite discrete signal with a length as 2's integer power can be represented by an orthogonal matrix with the same size.The general construction method and laws of these matrices are also given.

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