### THE ENGINEER'S ULTIMATE GUIDE TO

WAVELET ANALYSIS

# The Wavelet
Tutorial

by

**ROBI
POLIKAR**

Also
visit Rowan’s Signal Processing and Pattern Recognition Laboratory pages

Two new tutorials: Pattern Recognition & Ensemble Based Systems in Decision Making

### PART I:

OVERVIEW: WHY WAVELET TRANSFORM?

### PART II:

FUNDAMENTALS:
THE FOURIER TRANSFORM AND

THE SHORT TERM FOURIER TRANSFORM,

RESOLUTION PROBLEMS

### PART III:

MULTIRESOLUTION ANALYSIS:

THE CONTINUOUS WAVELET TRANSFORM

### PART IV:

MULTIRESOLUTION
ANALYSIS:

THE DISCRETE WAVELET TRANSFORM

### Please note:

Due to large number of e-mails I receive, I am not able to reply to all of them.
I will therefore use the following criteria in answering the questions:

### 1. The answer to the question does
not already appear in the tutorial; 2. I actually know the answer to the
question asked.

### If you do not
receive a reply from me, then the answer is already in the tutorial, or I
simply do not know the answer. My apologies for the inconvenience this may
cause. I appreciate your understanding.

###

##### For questions,
comments or suggestions, please send an e-mail to

###

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Including your current access, this page has been visited

### times since March 07,1999.

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of Engineering Web Servers

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### The Wavelet Tutorial was originally developed and hosted
(1994-2000) at

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### Last major update: January 12, 2001.