1. An Introduction To Wavelets An Introduction to wavelets by Amara Graps in HTML, PDF or Postscript. http://www.amara.com/IEEEwave/IEEEwavelet.html

A n I ntroduction to W avelets Abstract Keywords: Wavelets, Signal Processing Algorithms, Orthogonal Basis Functions, Wavelet Applications Contents: Overview Historical Perspective Sidebar- What are Basis Functions? Fourier Analysis ... Wavelet Analysis Wavelet Applications Computer and Human Vision FBI Fingerprint Compression Denoising Noisy Data Detecting Self-Similarity in a Time Series ... References Click HERE to download a gzipped, Postscript copy (compressed to 222 Kbytes, expands to 1.5Mbytes). Or click HERE to download a PDF version (360 Kbytes) The original version of this work appears in IEEE Computational Science and Engineering, Summer 1995, vol. 2, num. 2, published by the IEEE Computer Society, 10662 Los Vaqueros Circle, Los Alamitos, CA 90720, USA, TEL +1-714-821-8380, FAX +1-714-821-4010. Wavelet Resources Home Last Modified by Amara Graps on 12 May 2004.

2. Bibliographies On Wavelets Bibliographies on wavelets at the University of Karlsruhe. http://liinwww.ira.uka.de/bibliography/Theory/Wavelets/

The Collection of Computer Science Bibliographies Collection Home Up: Bibliographies on Theory/Foundations of Computer Science Bibliographies on Wavelets Query: in any author title field Publication year : in: , since: , before: (four digit years) Options: Results as Citation Results in BibTeX 10 results per page 40 results per page 100 results per page 200 results per page sort by score year online papers only You may use Lucene syntax , available fields are: ti (title), au (author), yr (publications year). #Refs Bibliography Date Signal processing and wavelet related bibliography Bibliography of Wavelet, Time Series, and Related Works Bibliography on wavelets and chirplets Bibliography on Wavelets ... List of papers concerning wavelets in tomography Total number of references in this section Other Bibliographies on Wavelets This service is brought to you by Alf-Christian Achilles and Paul Ortyl Please direct comments to liinwwwa@ira.uka.de

3. The Wavelet Digest :: Index Bringing together the Wavelet Community. This site hosts a free monthly newsletter on wavelets. Covers theory and applications. Contains all archives since http://www.wavelet.org/

Return to the homepage Search the complete Wavelet Digest database Help about the Wavelet Digest mailing list About the Wavelet Digest The Digest The Community Latest Issue Back Issues Current submissions New submission ... Gallery What's here? This site offers several services intended to foster the exchange of knowledge and viewpoints related to theory and applications of wavelets. The Wavelet Digest Online subscription here The free and non-commercial electronic newsletter since , linking together the multi-disciplinary wavelet community. You can submit your own contributions The Wavelet Discussion Forum The discussion forum enables rapid communication between members of the wavelet community. The Wavelet Calendar of Events The calendar includes the most interesting conferences, meetings, and workshops for wavelet researchers. The Wavelet Gallery The gallery contains links to the most essential resources related to wavelets: books, software, demos, tutorials, and so on. Announcements Surfing the Wavelets 31 Aug 2004 Editorial: Browsing through the Wavelet Discussion Forum 22 Dec 2003 Editorial: Adapting to the needs of the community 30 Jun 2003 Editorial: New Gallery of Links 01 Apr 2003 This site is hosted by the Swiss Federal Institute of Technology Lausanne webmaster@wavelet.org

4. WaveLab802 free WaveLab is a library of MATLAB routines for wavelet analysis, waveletpacket analysis, cosine-packet analysis and matching pursuit. http://www-stat.stanford.edu/~wavelab

WAVELAB 802 for Matlab5.x Current Release David Donoho Mark Reynold Duncan Xiaoming Huo Ofer Levi Major Contributions from Jon Buckheit Maureen Clerc Jerome Kalifa Stephane Mallat Thomas Yu What is Wavelab? WaveLab is a collection of Matlab functions that have been used by the authors and collaborators to implement a variety of computational algorithms related to wavelet analysis. A partial list of the techniques made available: orthogonal wavelet transforms, biorthogonal wavelet transforms, translation-invariant wavelets, interpolating wavelet transforms, cosine packets, wavelet packets, matching pursuit, and a lot more... It includes more than 1100 Matlab files, datasets, and demonstration scripts. Some computationally expensive routines have been implemented as Matlab MEX functions. Here is a more detailed introduction. What is new? For the new version (WaveLab802), we add in scripts to reproduce many figures for the book A Wavelet Tour of Signal Processing A new browser has been added for Mallat's book.

5. A Really Friendly Guide To Wavelets Wavelet tutorial for engineers in three parts friendly introduction, lifting, and EZW. http://perso.wanadoo.fr/polyvalens/clemens/wavelets/wavelets.html

UP PART 2 PART 3 Yes ! I've done it ! Recognition at last ! This site has won an award ! A Really Friendly Guide to Wavelets (C) C. Valens, 1999-2004 Sometimes people don't know how to address me when writing me. They call me professor Valens, doctor Valens, mr/miss Valens, Valens or professor Clemens, doctor Clemens, mr/miss Clemens, Clemens, or simply nothing. So then, how should you address me, you wonder? Well, I don't care, but if you must know, I am (a) male. NEW! * I finally invested some time to learn how to make PDF files and updated my wavelet tutorial PDF file * Made it all more printer friendly. Some images were to large to print correctly. * Fixed missing symbols (forgot to transform some GIF files to PNG). * Added little note about two-dimensional transform to the introduction. * New email address. The folks at iName.com now want money so I decided to let good old mindless go. * All GIF files have been replaced by PNG files. These files are a bit smaller than GIF files and so this page should load a bit faster. (Saved over 15KB on this page!) * Added a link to the Wavelet Forum at the end.

6. Wavelet Analysis; Significance Levels; Confidence Intervals; Introduction to wavelet analysis and Monte Carlo, interactive wavelet plotting, FAQ, and software. http://paos.colorado.edu/research/wavelets/

A Practical Guide to Wavelet Analysis With significance and confidence testing Christopher Torrence Research Systems, Inc. Boulder, Colorado chris[AT]rsinc[DOT]com Gilbert P. Compo NOAA/CIRES Climate Diagnostics Center, Boulder, Colorado compo[AT]colorado[DOT]edu Software for Fortran, IDL, and Matlab Frequently Asked Questions (FAQ) Article: "A Practical Guide to Wavelet Analysis" , C. Torrence and G. P. Compo, 1998. Permission to place a copy of this work on this server has been provided by the American Meteorological Society The AMS does not guarantee that the copy provided here is an accurate copy of the published work. Wavelet Coherency and Phase Featured in: Internet Scout The Wavelet Digest The Math Forum Internet Mathematics Library

7. INDEX TO SERIES OF TUTORIALS TO WAVELET TRANSFORM BY ROBI POLIKAR From the Fourier Transform to the wavelet transform. http://engineering.rowan.edu/~polikar/WAVELETS/WTtutorial.html

THE ENGINEER'S ULTIMATE GUIDE TO WAVELET ANALYSIS The Wavelet Tutorial by ROBI POLIKAR PREFACE 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 ACKNOWLEDGMENTS 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: 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 polikar@rowan.edu Other Wavelet Related Servers Robi Polikar Mainpage Thank you for visiting THE WAVELET TUTORIAL Including your current access, this page has been visited

8. Amara's Wavelet Page Introduction to wavelets with links to other sites. http://www.amara.com/current/wavelet.html

C ontents Wavelet Overview Wavelet Forum Wavelet Digest Fourier Trivia ... Changes to the Page W avelet Overview The fundamental idea behind wavelets is to analyze according to scale. Indeed, some researchers in the wavelet field feel that, by using wavelets, one is adopting a whole new mindset or perspective in processing data. Wavelets are functions that satisfy certain mathematical requirements and are used in representing data or other functions. This idea is not new. Approximation using superposition of functions has existed since the early 1800's, when Joseph Fourier discovered that he could superpose sines and cosines to represent other functions. However, in wavelet analysis, the scale that one uses in looking at data plays a special role. Wavelet algorithms process data at different scales or resolutions. If we look at a signal with alarge "window," we would notice gross features. Similarly, if we look at a signal with a small "window," we would notice small discontinuities. The result in wavelet analysis is to "see the forest and the trees." Can you see why these features make wavelets interesting and useful? For many decades, scientists have wanted more appropriate functions than the the sines and cosines which comprise the bases of Fourier analysis, to approximate choppy signals. By their definition, these functions are non-local (and stretch out to infinity), and therefore do a very poor job in approximating sharp spikes. But with wavelet analysis, we can use approximating functions that are contained neatly in finite domains. Wavelets are well-suited for approximating data with sharp discontinuities.

9. Wavelets Page on the book wavelets and Subband Coding , M. Vetterli and J. Kovacevic. Page on the book The World According to wavelets The Story of a http://www.mat.sbg.ac.at/~uhl/wav.html

WAVELETS Internet Sources (last update: April 11th, 2000 WWW - Server NEW: MT-WICE: Wavelet based Image Compression (Software) Wavelet Digest Homepage Steven Baum's Wavelet page The Imager Wavelet Library ... MathSoft Wavelet Resources page : links to many papers Wavelets at Imager Wavelets and their application to condition monitoring (Univ. Aberdeen, UK) Wavelet page at the European Southern Observatory Aware's product information (WaveTool, image compression, etc.) Multiresolution Signal Processing , Univ. of Minnesota An Introduction to Wavelets by Amara Graps. Wavelet resources page by Amara Graps. UC Berkeley Wavelet Group Numerical Harmonic Analysis Group , Univ. Vienna, Austria Ricoh's wavelet still image compression system Blue devil's wavelets , Duke University Mac A. Cody Associates Homepage Multirate Signal Processing Group , University of Wisconsin - Madison WavBox Software by C. Taswell HARC-C Wavelet Image Compression Lightning Strike Wavelet Image Compression MegaWave1+2 Software at CEREMADE The Wavelet Seismic InversionLab ... Page on the book "Wavelets and Subband Coding", M. Vetterli and J. Kovacevic. Page on the book "The World According to Wavelets: The Story of a Mathematical Technique in the Making" by Barbara Burke Hubbard, 1996, A K Peters, Ltd., ISBN 1-56881-047-4.

10. A Really Friendly Guide To Wavelets A Really Friendly Guide to wavelets1 (C) C. Valens, 19992004 for instance in Bur98 and Dau92. 4. Discrete wavelets Now that we know http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Discovering Wavelets: Home Page A center of activity for incorporating wavelets into the undergraduate curriculum. Tutorials, projects and resources. http://faculty.gvsu.edu/aboufade/web/dw.htm

The Discovering Wavelets Web Site maintained by Edward Aboufadel and Steven Schlicker Our goal for this site is to make it a center of activity for incorporating wavelets into the undergraduate curriculum. We believe that wavelets can be accessible to people other than research mathematicians that anyone with a background in basic linear algebra (for example, graduate and undergraduate students, and nonspecialists) can learn about and work with wavelets. Undergraduates at GVSU, many who are prospective mathematics teachers, have completed projects based on wavelets, along with undergraduate research projects. The challenge to mathematics professors is to present wavelets in way that is accessible without being trivial. New and Noteworthy The May-June 2005 site update has been completed. Each summer at Grand valley State University, two students work on a project related to wavelets. Learn about projects from 2000, 2002, 2003, and 2004 on the student projects web page Oxford University Press has published Advanced Engineering Mathematics (3rd edition), by M. Potter, J. Goldberg, and E. Aboufadel. This textbook has the typical topics for engineering mathematics (e.g. differential equations, linear algebra, numerical methods), but it also includes a new chapter on wavelets, aimed at undergraduate engineering majors, and enhanced with Maple and Excel.

12. INDEX TO SERIES OF TUTORIALS TO WAVELET TRANSFORM BY ROBI POLIKAR From the Fourier Transform to the wavelet transform. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. Gerald Kaiser Harmonic analysis, PDE, wavelets, physicsbased signal and image processing. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

14. Image Compression - From DCT To Wavelets : A Review Article published in ACM Crossroads, the student magazine of the Association for Computing Machinery. http://www.acm.org/crossroads/xrds6-3/sahaimgcoding.html

ACM Crossroads Student Magazine The ACM's First Electronic Publication Crossroads Home Join the ACM! Search Crossroads crossroads@acm.org ... Crossroads / Image Compression - from DCT to Wavelets : A Review Image Compression - from DCT to Wavelets : A Review by Subhasis Saha Introduction Uncompressed multimedia (graphics, audio and video) data requires considerable storage capacity and transmission bandwidth. Despite rapid progress in mass-storage density, processor speeds, and digital communication system performance, demand for data storage capacity and data-transmission bandwidth continues to outstrip the capabilities of available technologies. The recent growth of data intensive multimedia-based web applications have not only sustained the need for more efficient ways to encode signals and images but have made compression of such signals central to storage and communication technology. For still image compression, the `Joint Photographic Experts Group' or JPEG[ ] standard has been established by ISO (International Standards Organization) and IEC (International Electro-Technical Commission). The performance of these coders generally degrades at low bit-rates mainly because of the underlying block-based Discrete Cosine Transform (DCT)[ ] scheme. More recently, the wavelet transform has emerged as a cutting edge technology, within the field of image compression. Wavelet-based coding[

15. International Journal Of Wavelets, Multiresolution And Information Processing (I (World Scientific) IJWMIP considers the state of the art in multiresolution theory and modern wavelet analysis as well as their applications. http://www.worldscinet.com/ijwmip/ijwmip.shtml

News New Journals Browse Journals Search ... Mathematics International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP) The IJWMIP considers the current state-of-the-art multiresolution theory, modern wavelet analysis and information processing as well as the applications. This journal aims at publishing papers in both the theory and application, concentrating on the practical applications of the multiresolution, wavelets and information processing. More News Watch this space for news on IJWMIP. Feature Articles (Free Online Sample Issue) Vol. 2, No. 1 (March 2004) Identification of Acoustic Signatures for Vehicles Via Reduction of Dimensionality Amir Averbuch, Eyal Hulata, Valery Zheludev and Inna Kozlov Powell-Sabin Spline Wavelets Evelyne Vanraes, Jan Maes and Adhemar Bultheel Secondary Transform Decoupling of Shifted Nonstationary Signal Modulation Components: Application to Photoplethysmography Paul S. Addison and James N. Watson Wavelet-Based Multiresolution Histogram for Fast Image Retrieval Pawan Jain and S. N. Merchant Implementation of Zero Tree Wavelet Coders in DSP Processor S. Arivazhagan, D. Gnanadurai, J. R. Antony Vance, K. M. Sarojini and L. Ganesan

16. The FBI Fingerprint Image Compression Standard (uses wavelets) Chris Brislawn home page http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. The Wavelet Digest :: Gallery Everything you ever wanted to know about wavelets. http//perso.wanadoo. fr/polyvalens/clemens/wavelets/wavelets.html, A Really Friendly Guide to http://www.wavelet.org/phpBB2/gallery.php?c=Tutorial

18. Mitsuharu ARIMURA's Bookmarks On Source Coding/Data Compression Very large list of links, including books and lecture notes, benchmarkings, archives, image/graphic compression, fractal compression, wavelets, video and audio compression, and links to other link lists. http://www.hn.is.uec.ac.jp/~arimura/compression_links.html

Mitsuharu ARIMURA's Bookmarks on Source Coding/Data Compression This page is http://www.hn.is.uec.ac.jp/~arimura/compression_links.html Check out the Bibliography on Source Coding/Data Compression too. Contents Data Compression Pointers and FAQs Books and Lecture Notes Standard Data for Performance Evaluation Data Compression Program Archives ... Data Compression Algorithms Image/Video/Audio Compression Still Picture/Image Compression Graphic File Formats Fractal Image Compression Wavelet and Subband Coding ... Image/Video/Audio Compression Standards (JPEG, MPEG, etc.) Committee Organizations and Symposiums People Pointers Compression Pointers Compression Links by Markus F.X.J. Oberhumer Compression Links by Kawabata Lab. Compression Links by Hiroaki Sakaguchi ... Compression Source Code Guide and some Links by Takayuki Fukushima (in Japanese) Compression Links by Common Archivers Library (in Japanese) Compression and Signal Processing Links by Robert M. Gray Information Theory and Cryprography Links by Lars Bumer Yakov Nekrich's Lossless Image Compression Links comp.compression FAQ (1) ... Compression FAQ (FTP) MPEG-1 FAQ MPEG-2 FAQ JPEG FAQ Information Content and Compression Limit FAQ ... Annotated Bibliography of Perfectly Random Sampling with Markov Chains Books and Lecture Notes Book List on Data Compression The Ergodic Theory of Discrete Sample Paths Home Page Author: Paul C. Shields

19. Gerald Kaiser Harmonic analysis, PDE, wavelets, physicsbased signal and image processing. http://www.wavelets.com/

Gerald Kaiser Austin, TX email: kaiser(at)wavelets(dot)com Kielce ghetto, 1942 ... a rescue story ... ... Bergen-Belsen DP Camp, 1946 ... ... Pasadena, 2005 Languages: English, German, Polish, Russian, Portuguese, French, Hebrew Ph.D. (Mathematics) 1977, University of Toronto Thesis: Phase-Space Approach to Relativistic Quantum Mechanics Ph.D. (Physics) 1970, University of Wisconsin - Madison Thesis: Application of Continuous-Moment Sum Rules B.Sc. (Mathematics) 1962, Case Institute of Technology Hobbies: Dancing (Swing, Lindy Hop, Balboa, Tango ...), Aikido Employment/Positions: Professor of Mathematical Sciences , Univ. of Massachusetts (now Emeritus) Since 1998: Founder and Head, Since 1999: Editor-in-Chief (with Anne Boutet de Monvel, Univ. Paris 7), Progress in Mathematical Physics Book Series Since 2005: Visiting Scholar, Center for Relativity, University of Texas, Austin Research interests Harmonic analysis, potential theory, PDE, wavelets Real and complex geometry, Clifford analysis Electromagnetics, optics, acoustics

20. Wavelet Resources Introduction to wavelets with links to other sites. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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