一种完全重构双正交小波基的构造方法

朱铁稳; 陈少强; 李琦; 苗前军

一种完全重构双正交小波基的构造方法

朱铁稳^{①;陈少强},
陈少强,
李琦,
苗前军

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出版历程
- 收稿日期: 2004-01-06
- 修回日期: 2004-05-25
- 刊出日期: 2005-06-19

A Construction Method of Biorthogonal Bases of Perfect Reconstruction Wavelet

摘要

摘要: 在有关小波的各种应用中,合适小波基的选取是一个极为重要和棘手的问题。该文利用传递函数(或滤波器)的方法建立了一种完全重构双正交小波基的构造通用方法,利用该文提供的结论,只需要适当选择系数aij(), 就可以构造出满足特定需要性质的重构小波基。因此,该文的结论对于促进小波的应用具有十分重要的理论意义和实际意义。
- 多分辨分析; 正交小波基; 传递函数; 完全重构
Abstract: In the applications of wavelet, it is the most difficult and cumbrous to select the suitable wavelet bases. In this paper, a general construction method of biorthogonal bases of perfect reconstruction wavelet is proposed by using the transmission functions or filters. According to the conclusion, something only to do is to choice the suitable coefficients a,y(co) for constructing the wavelet bases of perfect reconstruction which has special properties. So, this conclusion is important to the applications of wavelet.

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