THE WAVELET TUTORIAL
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2009-10-15
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WELCOME
Welcome to The Wavelet Tutorial !
It was end of October 1994. I had recently studied fundamentals of wavelet
transform as my graduation project at my undergraduate institution, and I was
planning to use this technique in analyzing signals of biological origin for my
Master's degree thesis. My major professor suggested that I should work on EEG
signals, since they are less studied compared to many
other biological signals.
This, of course, would require a databa
other biological signals.
This, of course, would require a database of EEG signals.
I was in desperate need of finding a database of EEG signals when I decided to
use this project for my Master's degree thesis, Multiresolution Wavelet Analysis
of Event Related Potentials for the Detection of Alzheimer's Disease .
The hospitals were refusing to cooperate in sharing their files, stating that all
patient files were confidential. I have then decided to search the Internet
hoping to find people who may have a database that might be of any use to me. I
told them that I would use the wavelet transform to analyze EEG signals, and
asked them if they had such data to share with me. The majority of the mails I
have received from them were of the type:
Sorry! We do not have any EEG data , but what is this
wavelet
business anyway? If
you can provide some information, we may be able to direct you ...
So I replied and tried to explain what I was after. It didn't take me too long to
realize that I was writing a 4-6 pages of information on wavelet transform all
over again every time someone asked for more information. Furthermore, since most
of those people were from the medical community and had little or no background
in signal processing, I had to start from the definition of a transform. Trying
to explain a relatively new signal processing technique backed with a highly
complex mathematical theory, starting from the definition of the transform was no
easy task.
One thing I suffered while I was learning the basics of the wavelet transform is
the fact that the majority of the articles and books (if not all of them) are
written by
math people
, for the
math people
, in a language which even most of the
math people themselves cannot understand what is going on. I remember that I got
frustrated with all those equations, trying to figure out how and where to use
them. I was so frustrated at that time that I decided to write my own book in
some day.
When I received so many mails about the wavelet transform, I thought that writing
a tutorial could be a starting point for my future dream of writing my own book
of wavelet trasforms. I knew that I had to put it in simple words to make it
understandable to those people. This is how this tutorial was first created.
In the first version of the tutorial, there were absolutely no equations, and it
simply consisted of basic concepts what wavelet transform is all about. I
received an unexpected number of replies from many people around all the world
who were pleasantly surprised in how simple words wavelet transform can be
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zihanbuding2016-07-16经典文章,必须赞一个.多谢楼主分享!
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