小波分析
2017.02-2017.06

Wavelet is a mathematical technology developed in last 80th, which have important application in functional theory, differential equation, signal analysis and image processing. As a beginning course on wavelet analysis, the course includes Fourier analysis and transformation, Gabor transformation and wavelet transformation. The Mallat’s multi-resolution analysis, Daubechies’s orthogonal wavelet construction and wavelet package are introduced. In the end, some basic application of wavelet on image and geometric processing is discussed.

 

Instructor:

Xin Li

Textbook and References
李新 陈发来

参考书目:

•信号处理的小波导引——稀疏方法
•小波十讲
•小波和傅里叶分析基础(第二版)
•Ripples in Mathematics-----The discrete wavelet transform

 

Course Material:

课程介绍

绪论

傅里叶级数和傅里叶变换

离散傅里叶变换

从傅里叶分析到小波分析

小波变换

多分辨分析基础

局部支撑正交小波的构造

小波包

提升小波