尺度因子为3的多尺度函数的构造(英文)

Construction of multiscaling functions with dilation factor a

摘要: 本文给出尺度因子为 a=3的紧支撑正交对称多尺度函数的构造格式 .它首先由尺度因子a=3的实单一的紧支撑尺度函数构造出尺度因子 a=3的单一紧支撑正交对称的复尺度函数 ,然后再由构造出的复尺度函数构造二重正交紧支撑多尺度函数 ,从而为尺度因子 a=3的多小波的构造提供一种新途径 .算例表明构造算法是可行且极易实施 .

Abstract: A method for constructing orthogonal symmetric compactly supported multiscaling functions with dilation factor 3 is given.First,compactly supported orthogonal complexvalued uniscaling function with dilation factor 3 is constructed by using real uniscaling function.Then by using the above obtaining complex ones,multiscaling functions with dilation factor 3 which are orthogonal symmetric are constructed.Finally,some design examples are given.