RANK-M WAVELETS WITH N VANISHING MOMENTS

被引：53

作者：

HELLER, PN

机构：

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1995年 / 16卷 / 02期

关键词：

WAVELETS; VANISHING MOMENTS; MULTIRATE FILTER BANKS;

D O I：

10.1137/S0895479893245486

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work generalizes the rank 2 (scale factor of 2) orthogonal wavelet sequences of Daubechies to the case of a rank M wavelet matrix. Several equivalent definitions of Nth order vanishing moments for rank M wavelets are developed. These notions are used to find an explicit formula for rank M wavelet scaling sequences with N vanishing wavelet moments (of degree N in our terminology). A full wavelet matrix (scaling sequence and M - 1 wavelet sequences) is constructed, with explicit examples.

引用

页码：502 / 519

页数：18

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