ON THE REGULARITY OF WAVELETS

被引：24

作者：

VOLKMER, H

机构：

[1] Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1992年 / 38卷 / 02期

关键词：

WAVELETS; REGULARITY INDEX; DILATION EQUATION; FOURIER TRANSFORM; SCALING FUNCTIONS;

D O I：

10.1109/18.119743

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The regularity index alpha(N) of the scaling functions N(phi), N = 2, 3, ... of multiresolution analysis introduced by Daubechies in 1988 is investigated. It is shown that 0.51 < alpha(2) < 0.53 and lim(N --> infinity-alpha(N))/N = 1 - log 3/(2 log 2).

引用

页码：872 / 876

页数：5