A COMPUTER-SEARCH FOR SIMPLE MULTIDIMENSIONAL WAVELETS

被引：1

作者：

ASHINO, R

NAGASE, M

VAILLANCOURT, R

机构：

[1] OSAKA UNIV,COLL GEN EDUC,TOYONAKA,OSAKA 560,JAPAN

[2] UNIV OTTAWA,DEPT MATH,OTTAWA K1N 6N5,ONTARIO,CANADA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1994年 / 28卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

TRI-DIMENSIONAL WAVELETS; NONSEPARABLE WAVELETS; MULTIDIMENSIONAL NONTRIGONOMETRIC FOURIER ANALYSIS; EXISTENCE PROOF BY COMPUTER SEARCH; NONEXISTENCE PROOF BY EXHAUSTIVE COMPUTER SEARCH;

D O I：

10.1016/0898-1221(94)00141-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The theory of multi-dimensional wavelets is described in general terms. Then all the ''simple'' wavelets for a given three-dimensional multiresolution analysis with a real-valued function m0(xi) multiplied by complex exponentials, are exhibited by means of a computer search. It is also proved, by an exhaustive computer search, that no such ''simple'' wavelets exist in dimension four, and, by an inductive argument, nor in higher dimensions.

引用

页码：57 / 69

页数：13