工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2013年
5期
773-780
,共8页
冯岩%袁德辉%杨守志
馮巖%袁德輝%楊守誌
풍암%원덕휘%양수지
参数化%正交性%复小波%对称性%紧支撑
參數化%正交性%複小波%對稱性%緊支撐
삼수화%정교성%복소파%대칭성%긴지탱
parameterization%orthogonality%complex wavelets%symmetry%compact support
近年来,紧支撑对称正交复小波被广泛应用到不同领域。本文给出一简单的方法对紧支撑的正交复小波进行参数化。该方法可以用来构造一类紧支撑、满足高阶求和法则的正交实值或复值小波。最后给出了具有不同性质的正交复小波的构造例子。
近年來,緊支撐對稱正交複小波被廣汎應用到不同領域。本文給齣一簡單的方法對緊支撐的正交複小波進行參數化。該方法可以用來構造一類緊支撐、滿足高階求和法則的正交實值或複值小波。最後給齣瞭具有不同性質的正交複小波的構造例子。
근년래,긴지탱대칭정교복소파피엄범응용도불동영역。본문급출일간단적방법대긴지탱적정교복소파진행삼수화。해방법가이용래구조일류긴지탱、만족고계구화법칙적정교실치혹복치소파。최후급출료구유불동성질적정교복소파적구조례자。
The compactly supported orthogonal complex wavelets with symmetry have widely been used in various applications during the recent years. In this paper, we present a simple but complete method for the parameterizing orthogonal complex wavelets with length from four to six. This method can provide a class of orthogonal real or complex wavelets with short support and high sum rules. Furthermore, some examples are given in this paper.