📄 wavelet resources.htm
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<H1>Wavelet Resources</H1>
<P>Welcome to the <A
href="http://www.mathsoft.com/"><STRONG>MathSoft</STRONG></A> Wavelet
Resources page: your site for one-stop shopping for wavelet papers. This
page is a list of many preprints on the subject of wavelets and their
various applications in the worlds of mathematics, engineering and
physics. Many of these sources were tracked down through the <A
href="http://www.wavelet.org/"><STRONG>Wavelet Digest</STRONG></A> which
is a clearinghouse for wavelet information of all sorts. As a convenience,
we now provide links to some of the <A
href="http://www.mathsoft.com/wavetools.html"><STRONG>tools</STRONG></A>
you need to view papers in this list. </P>
<P>By its very nature this page is perpetually under construction. Any
help you can lend in keeping this page up to date will be appreciated
greatly. If there is a preprint that you are aware of that is available
via anonymous ftp and does not appear here please mail <A
href="mailto:wavelets@mathsoft.com"><EM><STRONG>wavelets@mathsoft.com</STRONG></EM></A>
and it will be added as soon as possible. </P>
<P>Many thanks are due to Steve Baum for compiling <A
href="ftp://ftp.math.scarolina.edu/pub/wavelet/references/baum.bib"><STRONG>baum.bib</STRONG></A>,
an exhaustive list in BibTex of wavelet references for both published
papers and technical reports. Most of the papers in his list that are
available via anonymous ftp have been added here; most of those that
didn't make it to the page couldn't be found at the supplied address. </P>
<P>Two quick plugs:
<UL>
<LI>MathSoft develops and markets <A
href="http://www.mathsoft.com/splsprod/wavelets.html"><STRONG>S+Wavelets</STRONG></A>,
an object-oriented toolkit for advanced signal and image analysis, time
series analysis, statistical signal estimation and data compression.
<LI>We are announcing the new <A
href="http://www.mathsoft.com/mathcad/ebooks/wavelets.htm">Mathcad
Wavelets Extension Pack</A>, which integrates over 60 key wavelet
functions to Mathcad 8 Professional. </LI></UL>
<P></P>
<HR>
<H3>Introductions to Wavelets</H3>
<UL>
<LI>C. S. Burrus and R. A. Gopinath, <A
href="ftp://cml.rice.edu/pub/reports/9301.ps.Z">"A Tutorial Overview of
Wavelets, Filter Banks and Interrelationships" </A>
<LI>R. A. DeVore and B. J. Lucier, <A
href="http://www.math.purdue.edu/~lucier/692/wavelet.pdf">" Wavelets"
</A>
<LI>T. Edwards, <A
href="ftp://isl.stanford.edu/pub/godfrey/reports/wavelets/tim_edwards/wave_paper/wave_paper.ps">"Discrete
Wavelet Transforms: Theory and Application."</A>
<LI>E. Gootman and M. Wickerhauser, <A
href="ftp://pascal.math.yale.edu/pub/wavelets/papers/elemwave.tex">"Elementary
Wavelets."</A>
<LI>A. Graps, <A
href="http://www.amara.com/ftpstuff/IEEEwavelet.ps.gz">"An Introduction
To Wavelets."</A>
<LI>C. Heil and D. Walnut, <A
href="ftp://ftp.math.gatech.edu/pub/users/heil/siam.ps.Z">"Continuous
and Discrete Wavelet Transforms."</A>
<LI>B. Jawerth and W. Sweldens, <A
href="http://cm.bell-labs.com/who/wim/papers/overview.ps.gz">"An
Overview of Wavelet Based Multiresolution Analysis"</A>. An <A
href="http://cm.bell-labs.com/who/wim/papers/papers.html#overview">abstract</A>
is also available.
<LI>J. Lewalle, <A
href="http://www.mame.syr.edu/faculty/lewalle/tutor/tutor.html">"Tutorial
on Wavelet Analysis of Experimental Data"</A>
<LI>P. Schr鰀er and W. Sweldens, <A
href="http://cm.bell-labs.com/who/wim/papers/athome.ps.gz">"Building
Your Own Wavelets at Home."</A> An <A
href="http://cm.bell-labs.com/who/wim/papers/papers.html#athome">abstract</A>
is also available.
<LI>G. Strang, <A
href="http://www-math.mit.edu/~gs/papers/amsci.ps.gz">"Wavelets"</A>
<LI>G. Strang <A
href="http://www-math.mit.edu/~gs/papers/siamrev.ps.gz">"Wavelets and
dilation equations: a brief introduction."</A>
<LI>C. Torrence and G. P. Compo, <A
href="http://paos.colorado.edu/research/wavelets/">"A Practical Guide to
Wavelet Analysis, with Significance and Confidence Testing."</A>
<LI>B. Vidakovic, <A
href="ftp://ftp.isds.duke.edu/pub/Users/brani/papers/wav4kidsA.ps.Z">"Wavelets
for Kids,"</A> also <A
href="ftp://ftp.isds.duke.edu/pub/Users/brani/papers/wav4kidsB.ps.Z">part
2</A>. </LI></UL>
<HR>
<H3>General Theory</H3>
<UL>
<LI>L. Andersson, N. Hall, B. Jawerth and G. Peters, <A
href="ftp://ftp.math.scarolina.edu/pub/imi_93/imi93_2.ps.gz">"Wavelets
on Closed Subsets of the Real Line"</A>
<LI>P. Auscher, G. Weiss and M. V. Wickerhauser, <A
href="http://wuarchive.wustl.edu/doc/techreports/wustl.edu/math/papers/aww.ps.Z">"Local
Sine and Cosine Bases of Coifman and Meyer and the Construction of
Smooth Wavelets"</A>
<LI>C. Basdevant and V. Perrier, <A
href="ftp://ftp.lmd.ens.fr/MFGA/pub/wavelets/besov.ps.Z">"Besov Norms in
Terms of Continuous Wavelet Transforms and Application to Structure
Functions." </A>
<LI>B.E. Bassil, G.J. Dickson and D.M. Monro, <A
href="http://dmsun4.bath.ac.uk/papers/icip96owbu.ps.gz">"Orthonormal
Wavelets With Balanced Uncertainty".</A>
<LI>G. Beylkin and N. Saito, <A
href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/minframe.ps.Z">"Multiresolution
Representations using the Autocorrelation Functions of Compactly
Supported Wavelets."</A>
<LI>G. Beylkin and N. Saito, <A
href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/spie.ps.Z">"Wavelets,
their Autocorrelation Functions and Multiresolution Analysis of
Signals."</A>
<LI>G. Beylkin and B. Torr閟ani, <A
href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/filterbanks_hardy.ps.Z">"Implementation
of Operators via Filter Banks, Autocorrelation Shell and Hardy
Wavelets."</A>
<LI>A. G. Bruce, H. Gao and D. Ragozin, <A
href="ftp://ftp.statsci.com/pub/WAVELETS/papers/non-smooth.ps.gz">"Non-smooth
Wavelets: Graphing Functions Unbounded on Every Interval."</A>
<LI>C. Cabrelli, C. Heil, and U. Molter, <A
href="ftp://ftp.math.gatech.edu/pub/users/heil/accmulti.ps.Z">"Accuracy
of Lattice Translates of Several Multidimensional Refinable
Functions."</A>
<LI>R. C. Calderbank, I. Daubechies, W. Sweldens and B. Yeo <A
href="http://cm.bell-labs.com/who/wim/papers/integer.ps.gz">"Wavelet
Transforms that Map Integers to Integers."</A> There is also an <A
href="http://cm.bell-labs.com/who/wim/papers/integer.ps">uncompressed</A>
version.
<LI>D. Chen, <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/extend.ps">"Extended
Families of Cardinal Spline Wavelets."</A>
<LI>D. Chen, <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/small.ps">"Spline
Wavelets of Small Support."</A>
<LI>D. Chen, <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/biortho.ps">"Characterization
of Biorthogonal Cardinal Spline Wavelet Bases."</A>
<LI>D. Chen, <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/diss1.ps">"Cardinal
Spline Wavelets"</A>, dissertation. Also <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/diss2.ps">part
2</A>, <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/diss3.ps">part
3</A>, <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/diss4.ps">part
4</A>, <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/diss5.ps">part 5</A>
and <A
href="ftp://ftp.ma.utexas.edu/pub/papers/CNA/d.chen/diss6.ps">part
6</A>.
<LI>S. Chen and D. Donoho, <A
href="ftp://playfair.stanford.edu/pub/chen_s/BasisPursuit.ps.Z">"Atomic
Decomposition by Basis Pursuit."</A>
<LI>A. Cohen, W. Dahmen and R. DeVore, <A
href="ftp://ftp.igpm.rwth-aachen.de/pub/dahmen/cdd.ps.Z">"Multiscale
Decompositions on Bounded Domains."</A>
<LI>J. Cohen, <A
href="ftp://hilbert.mines.colorado.edu/pub/wavelets/PacketFeet.400dpi.ps.Z">"The
Foot Problem in Wavelet Packet Splitting."</A> A Mathematica notebook
converted to Postscript.
<LI>J. Cohen, <A
href="ftp://hilbert.mines.colorado.edu/pub/wavelets/Schauder.400dpi.ps.Z">"Schauder
Basis for [0,1]."</A> A Mathematica notebook converted to Postscript.
<LI>J. Cohen, <A
href="ftp://hilbert.mines.colorado.edu/pub/wavelets/Stein.400dpi.ps.Z">"The
Littlewood-Paley-Stein Wavelet."</A> A Mathematica notebook converted to
Postscript.
<LI>J. Cohen, <A
href="ftp://hilbert.mines.colorado.edu/pub/wavelets/Spline.400dpi.ps.Z">"Battle-Lemarie
Wavelets."</A> A Mathematica notebook converted to Postscript.
<LI>J. Cohen, <A
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