纺织高校基础科学学报
紡織高校基礎科學學報
방직고교기출과학학보
BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES
2014年
1期
96-102
,共7页
李万社%房小蒙%张洪涛
李萬社%房小矇%張洪濤
리만사%방소몽%장홍도
双向加细函数%多分辨分析%双向小波%对称性%正交性
雙嚮加細函數%多分辨分析%雙嚮小波%對稱性%正交性
쌍향가세함수%다분변분석%쌍향소파%대칭성%정교성
two-direction refinable functions%multi-resolution analysis%two-direction wavelet%symmet-ric%orthonormal
将2尺度双向加细函数和双向小波的研究以及相关性质推广到 m尺度。同时，给出了双向加细函数和双向小波在对称与反对称时应满足的条件。最后研究了如何利用正交尺度函数和对应的正交小波。构造正交双向小波，并给出了具体算例。
將2呎度雙嚮加細函數和雙嚮小波的研究以及相關性質推廣到 m呎度。同時，給齣瞭雙嚮加細函數和雙嚮小波在對稱與反對稱時應滿足的條件。最後研究瞭如何利用正交呎度函數和對應的正交小波。構造正交雙嚮小波，併給齣瞭具體算例。
장2척도쌍향가세함수화쌍향소파적연구이급상관성질추엄도 m척도。동시，급출료쌍향가세함수화쌍향소파재대칭여반대칭시응만족적조건。최후연구료여하이용정교척도함수화대응적정교소파。구조정교쌍향소파，병급출료구체산례。
The research about two-direction refinable functions and two-direction wavelets with dilation factor 2 and their properties are extended to dilation factor m .The condition that the two-direction refin-able functions and its corresponding two-direction wavelet are symmetric and antisymmetric is given .Fi-nally ,an algorithm for constructing the orthonormal two-direction wavelets with orthonormal scaling functions and the corresponding orthonrmal wavelets is presented and an example is given .
