Next: Obtaining the files Up: WAVEKIT: a Wavelet Toolbox Previous: Contents

Introduction

The WAVEKIT-toolbox is a collection of functions for Matlab that implement the following wavelet and wavelet packet algorithms:

One- and two-dimensional (periodic) fast wavelet and wavelet packet transforms and the best basis algorithm for wavelet packets.
An implementation of the fast matrix multiplication algorithm of Beylkin, Coifman, and Rokhlin [3] for both wavelets and wavelet packets.
Various demonstrations on visualizing wavelets, signal analysis, and the multiplication algorithm.

The programs in this toolbox are not optimized other than that the inner-most loops are written in C. They are intended for learning about wavelets, not for serious applications. The toolbox grew out of my desire to teach myself about wavelets and now I feel it has matured to the point where it might prove useful to others. I think some of the visualization tools and demos are rather unique.

All comments, criticism, bug reports, etc. are certainly welcomed!

This document is only a tutorial into using the different functions in the WAVEKIT toolbox. In particular, it is assumed that the reader is already familiar with the basics of wavelets and wavelet algorithms. There are many excellent sources for this knowledge, such as:

Introductions to wavelets: [12,6,8].
Numerical algorithms: [13].
Applications: [6,8,1].
Theory: [5,7].

Next: Obtaining the files Up: WAVEKIT: a Wavelet Toolbox Previous: Contents

Harri Ojanen
1998-05-02