A Reconstruction Algorithm from Signals' Dyadic Wavelet Transform Extrema

MA She-xiang; LIU Gui-zhong; ZENG Zhao-hua

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A Reconstruction Algorithm from Signals' Dyadic Wavelet Transform Extrema

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- A Reconstruction Algorithm from Signals' Dyadic Wavelet Transform Extrema
- Acta Electronica Sinica Vol. 29, Issue 1, Pages: 68-70(2001)
- 作者机构：
  
  西安交通大学信息与通信工程研究所,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.72
- Published：2001
- 稿件说明：
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MA She-xiang, LIU Gui-zhong, ZENG Zhao-hua. A Reconstruction Algorithm from Signals' Dyadic Wavelet Transform Extrema[J]. Acta Electronica Sinica, 2001, 29(1): 68-70.
DOI：

MA She-xiang, LIU Gui-zhong, ZENG Zhao-hua. A Reconstruction Algorithm from Signals' Dyadic Wavelet Transform Extrema[J]. Acta Electronica Sinica, 2001, 29(1): 68-70. DOI：

摘要

本文通过二进小波变换极值或零交叉点可获取信号的多尺度边缘

由此得到信号的绝大部分信息.本文提出了用样条插值重构算法来实现由信号二进小波变换极值点重构原始信号.数值仿真实验显示了该算法的高效性和令人满意的重构效果.与已有的算法相比

该算法原理更简单、更直接

实现更方便

速度更快.

Abstract

Multiscale edges of a signal can be detected by using extrema or zero-crosings of dyadic wavelet transform.A reconstruction algorithm by cubic spline function interpolation

which is used to recover a signal from its dyadic wavelet transform extrema is proposed in this paper.Numerous experiments demonstrate its satisfying properties.Compared with previous algorithms it is simpler

more straightforward and faster.

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