Construction of biorthogonal multiwavelets using the lifting scheme

被引：31

作者：

Goh, SS ^{[1
]}

Jiang, QT ^{[1
]}

Xia, T ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2000年 / 9卷 / 03期

关键词：

biorthogonal multiwavelets; lifting scheme; optimum time-frequency localization; image compression;

D O I：

10.1006/acha.2000.0318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The lifting scheme has been found to be a flexible method for constructing scalar wavelets with desirable properties. Here it is extended to the construction of multiwavelets. It is shown that any set of compactly supported biorthogonal multiwavelets can be obtained from the Lazy matrix filters with a finite number of lifting steps. As an illustration of the general theory, compactly supported biorthogonal multiwavelets with optimum time-frequency resolution are constructed. In addition, experimental results of applying these multiwavelets to image compression are presented. (C) 2000 Academic Press.

引用

页码：336 / 352

页数：17

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