离散小波分析导论(二)——小波系数的性质

An Introduction to Discrete Wavelet Analysis(Ⅱ)

本文介绍了要生成好的小波函数,展缩方程中的小波系数必须满足一定的条件,并由此推导了小波函数及其对应尺度函数的性质,并给出了计算 Haar 小波系数的实例。最后介绍了循环小波变换的概念。

In order to generate good wavelets,their coefficients in dilation equations have to satisfy some conditions.This paper discrihes the properties of the wavelets and their scale function,and gives an example of calculation of Haar Wavelets.Finally,the concept of cir- cular wavelet transforms is also introduced.