a尺度r重区间正交多小波的构造

Construction of orthogonal interval multiwavelets with multiplicity r and dilation factor a

摘要: 基于L2(R)上的紧支撑正交多尺度函数和多小波的构造思想与方法,探讨了任意支撑长度γ的a尺度r重区间多小波系统的构造理论与性质.给出了区间0,1上a尺度r重正交多小波的构造方法,得到了区间多小波的参数化表示;并且给出区间多小波的构造算例.

Abstract: Based on the method and constructional idea of tight supported orthogonal multiscaling function and multiwavelets on L2(R),we study the properties and constructional theories with any tight supported γ,multiplicity r and dilation a on the interval.We introducethe constructional thought of orthogonal multiwavelets with multiplicity r and dilation a on the interval 0,1and obtain the parametric expressions of interval multiwavelets.Inaddition,we proposethe construction examples of interval multiwavelets.