Wavelets

Lecturer

Dr Paul Abbott
Phone +61 (08) 6488 2734
Fax +61 (08) 6488 1014

Lecture Outline

1. Introduction
2. Mathematical preliminaries
3. The continuous wavelet transform
4. Discrete wavelets and multiresolution analysis
5. Applications — Signal denoising and image compression using wavelets

The lecture notes are available as Mathematica Notebooks.

Text

Wavelets: An Elementary Treatment of Theory and Applications edited by T.H. Koornwinder (University of Amsterdam), Vol.1 in: Series in Approximations & Decompositions (C.K. Chui, series editor), (World Scientific, 1993)

Assessment

The course is assessed by a practical take-home exam. You should not spend more than about 10 hours on this exam.

• 1994 Exam and Solutions
• 1997 Exam and Solutions
• 1998 Exam and Solutions

Other Sources

There are many wavelet resources on the web. Here is just a few:

• The Wavelet Digest is a fundamental wavelets resource.
• Amara's Wavelet Page has a good list of wavelet references plus a number of on-line tutorials.
• MacWavelets is a Macintosh program for demonstrating basic features of wavelets.

Prerequisite

Computational Physics would be a helpful pre-requisite (as the practical exam could be done most easily using Mathematica rather than C or Fortran).