一阶基样条N_1（x）作为尺度函数在不同尺度因子下小波的构造

Construction of Compactly Supported Orthonorma,Wavelets by Cardinal Spline N_1(x) as Scale Function

本文对Ｎ１（ｘ）作尺度函数在尺度因子ａ＝２，３，４三种情形，讨论其小波的构造。ａ＝２时，存在唯一的小波分解（不考虑符号）；ａ＝３时，存在唯一的对称小波和反对称小波分解（不考虑符号）；ａ＝４时，存在无穷多种一个对称小波和两个反对称小波的分解。

In this paper,when N,(x)is been as scale function,for scaling parameter a=2,3,4,Conslruction of Wavelets are given.when a=2,there is unique Orthonormal wavelet bale (ignored sign) lwhen a=3,there is unique orlhonormal wavelet base that.is composed of a symmetric and antisymmetric(ignored sign) lwhen a=4,there is infinite wavelets base that is composed of a symmetric and two antisymmetric wavelets.