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Article #293

Wavelet References

#293
From: Ron Graham
Date: Wed, 30 Sep 1992 17:08
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I have received a list of wavelet references from D. K. Le, the fellow in
my shop who is the local wavelets wizard.  There is an enormous reference 
list in the following article: Rioul, O. and M. Vetterli.  "Wavelets and
Signal Processing."  _IEEE Signal Processing Magazine_, 10/91, p. 14-38.

Le reports, "this article is among the best expositions on time-frequency
methods.  But you need to study a few other articles in its reference list
to know better how to apply or implement the wavelet transform."  And here
are the other articles Le recommends, in order:

Grossmann, A., R. Kronland-Martinet, and J. Morlet.  "Reading and Understand-
ing Continuous Wavelet Transforms."  In _Wavelets, Time-Frequency Methods
and Phase Space_, J. Combes et. al. eds.  Springer, 1989, p. 2-20.

Daubechies, I.  Article in Part I of above book.

Strang, G.  "Wavelets and Dilation Equations: A Brief Introduction."  _SIAM
Review_, vol. 31, no. 4, 12/89, p. 28-37.

For discretization of continuous transforms,

Shensa, M. J.  "The Discrete Wavelet Transform: Wedding the a` Trous and
Mallat Algorithms."  Submitted to _IEEE Transactions on Acoustics, Speech
and Signal Processing_, 1990.

And, for your more in-depth reading pleasure ;-),

Daubechies, I.  "Orthonormal Bases of Compactly Supported Wavelets II:
Variations on a Theme."  Submitted to _SIAM Journal of Mathematical 
Analysis_, 1990.

Daubechies, I.  "The Wavelet Transform, Time-Frequency Localization and 
Signal Analysis."  _IEEE Transactions on Information Theory_, vol. 36,
no. 5, 09/90, p. 961-1005.

Cohen, A., I. Daubechies, and J. Feauveau.  "Biorthogonal Bases of
Compactly Supported Wavelets."  To appear in _Communications on Pure and
Applied Math_.

I will re-post this every several months, if others find it useful.  I
have a copy of the entire reference list, which I can FAX by request.

RG

Who became an engineer thinking "free-body diagrams" might be interesting.
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From: ecaxron@ariel.lerc.nasa.gov (Ron Graham)
Subject: Wavelet References
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Date: 30 Sep 1992 12:08 EST  
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