Some Theoretical Problems on Wavelet Packet Transform

LI He-sheng; MAO Jian-qin; ZHAO Ming-sheng; WU You-shou

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Some Theoretical Problems on Wavelet Packet Transform

更新时间：2025-07-16

- Some Theoretical Problems on Wavelet Packet Transform
- Acta Electronica Sinica Vol. 33, Issue 1, Pages: 106-110(2005)
- 作者机构：
  
  1. 中国工程物理研究院电子工程研究所,四川,绵阳,621900
  2. 清华大学电子工程系,北京,100084
  3. 北京航空航天大学第七研究室,北京,100083
  4. 中国工程物理研究院电子工程研究所四川绵阳,621900
  5. 清华大学电子工程系北京,100084
  6. 北京航空航天大学第七研究室北京,100083
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：2005
- 稿件说明：
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LI He-sheng, MAO Jian-qin, ZHAO Ming-sheng, et al. Some Theoretical Problems on Wavelet Packet Transform[J]. Acta Electronica Sinica, 2005, 33(1): 106-110.
DOI：

LI He-sheng, MAO Jian-qin, ZHAO Ming-sheng, et al. Some Theoretical Problems on Wavelet Packet Transform[J]. Acta Electronica Sinica, 2005, 33(1): 106-110. DOI：

摘要

本文对正交小波包基函数在不同尺度上的传递关系、正交小波包变换系数在不同尺度上的传递关系、高斯白噪声的正交小波包变换系数的统计特性、以及正交小波包基的相关函数性质进行了理论研究

并获得了相应的理论结果

仿真实验验证了理论研究的正确性.

Abstract

Some theoretical problems such as the transitive relation of orthonormal wavelet packet basis at different scales

the transitive relation of wavelet packet decomposition coefficients at different scales

the statistical attributes of wavelet packet decomposition coefficients for white Gauss noise

and the properties of correlation function for orthonormal wavelet packet basis are investigated

and some theoretical results are obtained successfully

Simulation results show the validity of the obtained theory results.

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