A Really Friendly Guide to Wavelets by C.Vallens

Abstract

This report contains pointers to texts with more extensive wavelet theory coverage like (in random order) [Kai94], [Wei94], [She96], [Bur98], [Dau92], [Hub96], [Mal89], [Vet92]. I do however present some mathematical background in order to tell a coherent and clear tale (I hope). Having this said, let’s go on to the wavelets. 2. The continuous wavelet transform Also

Keyphrases

really friendly guide random order clear tale continuous wavelet transform mathematical background extensive wavelet theory coverage

Disclaimer

This tutorial is aimed at the engineer, not the mathematician. This does not mean that there will be nomathematics, it just means that there will be no proofs in the text. In my humble opinion, mathematicalpapers are completely unreadable because of the proofs that clutter the text. For proofs the reader ispointed to suitable references. The equations presented are there to illustrate and to clarify things, I hope.It should not be necessary to understand all the equations in order to understand the theory.

However, tounderstand this tutorial, a mathematical background on an engineering level is required. Also someknowledge of signal processing theory might come in handy.The information presented in this tutorial is believed to be correct. However, no responsibilty whatsoeverwill be accepted for any damage whatsoever due to errors or misleading statements or whatsoever in thistutorial. Should there be anything incorrect, incomplete or not clear in this text, please let me know so thatI can improve this tutorial