二元紧支撑正交小波的构造

数学季刊 ›› 2003, Vol. 18 ›› Issue (3): 242-246.

二元紧支撑正交小波的构造

1．Faculty of Science,Xi ’an Jiaotong University ,Xi ’an 710049,China；Henan Institute of Finance and Economic,Zhengz hou 450002,China；2．Faculty of Science,Tianjin University ,Tianjin 300072,China

收稿日期:2003-05-09 出版日期:2003-09-30 发布日期:2024-04-09
作者简介:YANG Jian-wei（1970－），male，native of Xingyang，Henan，a lecturer of Henan Institute of Finance and Economic，M．S．D．，engages in wavelet analysis andits application .
基金资助:
Supported by the Natural Science Foundation of Henan Province（004061900）

Construction of Compactly Supported Bivariate Orthogonal Wavelets

1．Faculty of Science,Xi ’an Jiaotong University ,Xi ’an 710049,China；Henan Institute of Finance and Economic,Zhengz hou 450002,China；2．Faculty of Science,Tianjin University ,Tianjin 300072,China

Received:2003-05-09 Online:2003-09-30 Published:2024-04-09
About author:YANG Jian-wei（1970－），male，native of Xingyang，Henan，a lecturer of Henan Institute of Finance and Economic，M．S．D．，engages in wavelet analysis andits application .
Supported by:
Supported by the Natural Science Foundation of Henan Province（004061900）

摘要/Abstract

摘要： For a given compactly supported scaling function supported over［0，3］×［0，3］，we present an algorithm to construct compactly supported orthogonal wavelets ．By this algorithm ，the symbol function of the associated wavelets can be constructed explicitly .

关键词: wavelet, compactly supported, scaling function, orthonormal

Abstract: For a given compactly supported scaling function supported over［0，3］×［0，3］，we present an algorithm to construct compactly supported orthogonal wavelets ．By this algorithm ，the symbol function of the associated wavelets can be constructed explicitly .

Key words: wavelet, compactly supported, scaling function, orthonormal

中图分类号:

O174．2

杨建伟, 张玲玲. 二元紧支撑正交小波的构造[J]. 数学季刊, 2003, 18(3): 242-246.

YANG Jian-wei , ZHANG Ling-ling . Construction of Compactly Supported Bivariate Orthogonal Wavelets [J]. Chinese Quarterly Journal of Mathematics, 2003, 18(3): 242-246.

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