基于Haar小波的尺度函数与小波构造

Construct a Class of Scaling Functions and Associated Wavelets Based on Haar Wavelet

以Haar小波和B-样条函数为基础,利用函数卷积构造了一类尺度函数与小波,得到了尺度函数与对应小波两尺度符号的条件,并通过构造实例加以说明.

Based on Harr wavelet and B-spline functions, we construct a class of scaling functions and associated wavelets by the convolution of functions and obtain the relations between symbol of scaling functions and that of associated wavelets. Examples are given to explain the method.