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Fourier Analysis - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to Fourier analysis, which studies approximations and decompositions of functions using trigonometric polynomials. Of incalculable value in many applications of analysis, this field has grown to include many specific and powerful results, including convergence criteria, estimates and inequalities, and existence and uniqueness results. Extensions include the theory of singular integrals, Fourier transforms, and the study of the appropriate function spaces. Also approximations by other orthogonal families of functions, including orthogonal polynomials and wavelets. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> An Introduction to Fourier Theory - Forrest Hoffman A paper about Fourier transformations, which decompose or separate a waveform or function into sinusoids of different frequencies that sum to the original waveform. Fourier theory is an important tool in science and engineering. Contents: Introduction; The Fourier Transform; The Two Domains; Fourier Transform Properties - Scaling Property, Shifting Property, Convolution Theorem, Correlation Theorem; Parseval's Theorem; Sampling Theorem; Aliasing; Discrete Fourier Transform (DFT); Fast Fourier Transform (FFT); Summary; References. more>> An Introduction to Wavelets - Amara Graps; Institute of Electrical and Electronics Engineers, Inc. A paper giving an overview of wavelets: mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. Wavelets have advantages over traditional Fourier methods in analyzing physical situations where the signal contains discontinuities and sharp spikes. This paper include information about signal processing algorithms, Orthogonal Basis Functions, and wavelet applications. more>> Wavelet Digest: wavelet.org - Wim Sweldens A free monthly newsletter with all kinds of information concerning wavelets; announcement of conferences, preprints, software, questions, etc. The latest issue and searchable copies of back issues (beginning in 1992) are available; links to other wavelet sites are provided. more>> Wavelets - Salzburg, Austria An extensive list of links to Internet sources of information for wavelets, and some bibliographies. more>> The Wavelet Tutorial - Robi Polikar The engineer's ultimate guide to wavelet analysis: a tutorial that explains basics of signal processing with a focus on the technique of wavelet transformations (WT). Basic concepts of importance in understanding wavelet theory; Short Term Fourier Transform (STFT) (used to obtain time-frequency representations of non-stationary signals); continuous wavelet transform (CWT) (how problems inherent to the STFT are solved); discrete wavelet transform (a very effective and fast technique to compute the WT of a signal). Bibliography included. more>>

All Sites - 101 items found, showing 1 to 50

1ucasvb's lab Diagrams and animations from a longtime contributor to Wikipedia's math and physics articles. Posts, which date back to February 2013 and feature graphics coded in POV-Ray and PHP, include "Experimenting with sound: the polygonal trigonometric functions ...more>> Amara's Wavelet Page - Amara Graps Read a brief overview of wavelets, or listen to sounds compressed using wavelets. Page also includes an extensive list of wavelet resources. ...more>> Applied Wavelet Analysis Courses - Gerald Kaiser The Virginia Center for Signals and Waves, founded by mathematical physicist Gerald Kaiser, is dedicated to a physics-based approach to signal analysis and processing. Information about Kaiser's book A Friendly Guide to Wavelets, his curriculum vitae, ...more>> ATI's Mathematical & Physical Wavelets Course - Dr. Gerald Kaiser, Instructor Summary of an Applied Technology Institute Training Seminar in wavelet analysis (Applications to Generalized Radar and Sonar Analysis). ...more>> The Basics of MRI - Joseph P. Hornak; Rochester Institute of Technology An introduction to magnetic resonance imagining, which is based on the principles of nuclear magnetic resonance (NMR), a spectroscopic technique used by scientists to obtain microscopic chemical and physical information about molecules. See, in particular, ...more>> The Bath Wavelet Warehouse - Signal and Image Processing Group, Univ. of Bath, U.K. A collection of wavelet filters available for download. Biorthogonal Wavelets; Orthonormal Wavelets; References. ...more>> Bibliographies on Wavelets - Collection of Computer Science Bibliographies, University of Karlsruhe Search interface for an extensive collection of bibliographies on wavelets. ...more>> Books: Professional & Technical: Professional Science: Mathematics - Amazon.com Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations; ...more>> Boost Your Skills With ATI Courses! - Applied Technology Institute (ATI) A center for technical training in the form of short courses and distance learning in space, communications, defense, sonar, radar, and signal processing. ...more>> Bytes of Science: An Internet Magazine - David S. Mazel, Ed. An Internet magazine on science and engineering, with tutorials and introductory articles on various areas of science, math, or engineering. Articles include: A Basis for Functions: The Fourier Series; The Fourier Transform: The Frequency in a Waveform; ...more>> Calculators On-Line Center: Part II - Mathematics - Martindale's Reference Desk Over 7,420 calculators for: Unit Conversion (Time, Distance, Length, Speed, Weight, etc.); Abacus; Basic Math; Complex Mathematics; Complex Math Education; Complex Math Calculators by Specialty: Algebra and Linear Algebra; Algorithms; Calculus; Central ...more>> Calculus (S.O.S. Mathematics) - Dept. of Mathematical Sciences, Univ. of Texas at El Paso An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and pre-college calculus. Logarithms and Exponential; Sequences; Series; Techniques of Integration; Local Behavior of ...more>> Center for Image Processing Research - Rensselaer Polytechnic Institute (RPI) Faculty, publications, research. See also the Center for Digital Video and Media Research(CDVMR), an NSF Industry/University Co-operative Research Center. ...more>> CERFACS - European Centre for Research and Advanced Training in Scientific Computation CERFACS is one of the world's leading research institutes working on efficient algorithms for solving large-scale scientific problems. This involves the evaluation of existing, and the development of new tools which exploit high-performance serial, vector, ...more>> Compleat Sine Wave, Fourier Series - Bill Finzer, Key Curriculum Press Two "FPU Necessary [Geometer's] Sketches," one that illustrates Fourier series and another that draws a sine wave and lets you change the phase, amplitude, and frequency dynamically. ...more>> Connected Mathematics Project (CMP) - Michigan State University A project funded by the NSF to develop a complete mathematics curriculum for the middle grades (6-8), one rich in connections among the various topic strands of the subject, between mathematics and its applications in other disciplines, between the planned ...more>> Content-based Image Retrieval Project - Computer Science Department, Stanford University Project group members; online demos; SIMPLIcity: Semantics-sensitive Integrated Matching for Picture LIbraries; related links. ...more>> Daniel Lemire's homepage - Daniel Lemire Daniel Lemire is a researcher in wavelet theory, data thinning and subdivision schemes. Recently, he has been interested in applications of these mathematical tools to e-business and data mining. Site contains papers (downloadable, PDF format), software ...more>> Dartmouth College Wavelet Warriors - Math and Computer Science Depts., Dartmouth College, Hanover, NH People, research interests, projects, selected publications. ...more>> Dave Donoho - Statistics Dept., Stanford University Recent lectures ("Beyond Wavelets: A Case Study"); links to software and software the author has written or co-written. ...more>> The Department of Applied Science Wavelet Group - Lawrence Livermore National Laboratory The Wavelet Group is interested in studying the use of the wavelet transform in the solution of various types of problems. The primary area of current study is Signal Processing Using the Wavelet Transform Electrocardiogram (ECG). People, recent papers, ...more>> Differential Equations (S.O.S. Mathematics) - Dept. of Mathematical Sciences, Univ. of Texas at El Paso An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and pre-college differential equations. Sections include: Introduction and First Definitions; Modeling via Differential ...more>> Discovering Wavelets - Grand Valley State University (GVSU) Wavelets for undergraduates: a site designed to be a center of activity for incorporating wavelets into the undergraduate curriculum, with links to undergraduate projects based on wavelets and image compression, and to undergraduate research projects. ...more>> Discrete Fourier Series Transform - Eric Brasseur A brief introduction to the discrete Fourier transform and its application to signal sampling. Also available in French. ...more>> Drums That Sound Alike - Ivars Peterson (MathLand) Peterson writes that physicists and mathematicians have long recognized that the shape of the boundary enclosing a membrane plays a crucial role in determining the membrane's spectrum of normal-mode vibrations. He outlines the progress made on Mark Kac's ...more>> DSP First: A Multimedia Approach - McClellan, Schafter, & Yoder The CD-ROM portion of the book, containing, for each chapter: Demos - quicktime movies, sound files, etc. that help reinforce the concepts introduced in the text; Labs - MATLAB based laboratory exercises for in-depth study of certain concepts and ideas ...more>> Embedded TEX - David McCabe Mathematics typesetting for Word, Excel, other Microsoft Office programs, or any application that supports ActiveX. Download and install free trials. See also McCabe's tutorial, which explains the Fourier transform and Fourier series. ...more>> The Equal Tempered Scale and Some Peculiarities of Piano Tuning - Jim Campbell An article on tuning applications from the Precision Strobe Tuners site. The Phenomena of Sound and the Harmonic Series, with information about Fourier analysis; Beats; The Physics of Ringing Strings; The Evolution of the Equal Tempered Scale; Piano Tuning; ...more>> EZW Encoding - C. Valens An embedded zerotree wavelet (EZW) tutorial. Contents: Introduction; EZW encoding; The zerotree; How does it work?; The algorithm; Example; Coda; Notes; References. By the author of A Really Friendly Guide to Wavelets. ...more>> The Fast Lifting Wavelet Transform - C. Valens A tutorial on wavelet filters aimed at engineers. Focusses on "lifting," a technique for creating a general framework to design filters for every possible wavelet transform. May be read online or downloaded in PostScript format. ...more>> The FBI Fingerprint Compression Standard - Chris Brislawn A summary, with examples, of the Federal Bureau of Investigation's image coding standard for digitized fingerprints, developed and maintained by the FBI, Los Alamos National Lab, and the National Institute for Standards and Technology. The standard is ...more>> FFT Spectrum Analyser Demo applet - Iain Robin A Java applet that demonstrates the use of the Fast Fourier Transform (FFT) to determine the frequency spectrum of a discrete signal (time series). ...more>> FFTW - Matteo Frigo and Steven G. Johnson FFTW is a C subroutine library for computing the discrete Fourier transform (DFT) in one or more dimensions, of arbitrary input size, and of both real and complex data. Download FFTW; read about its features; subscribe to its mailing list for announcements. ...more>> Fourier Synthesis - Manfred Thole A periodic signal can be described by a Fourier decomposition as a Fourier series, i.e. as a sum of sinusoidal and cosinusoidal oscillations. By reversing this procedure a periodic signal can be generated by superimposing sinusoidal and cosinusoidal waves. ...more>> Free Software which You Can Download - Will Naylor Download WNLIB, an ANSCII-C subroutine library which includes numerical routines, data structures, random number generators, and more. ...more>> Gamelan - The Official Java Directory - EarthWeb, Inc. Gamelan's primary mission is to serve as a central registry and directory of Java resources. Much like Yahoo!, Gamelan collects links to resources stored on other sites across the Web. However, unlike Yahoo!, Gamelan's mission is specific - Gamelan collects ...more>> Gilbert Strang - Dept. of Mathematics, Massachusetts Institute of Technology (MIT) Books and publications, including recent wavelet papers. ...more>> Guide to Wavelet Sources - Steve Baum; Dept of Oceanography, Texas A&M University A 1996 site with links to tutorials, software reviews, and other wavelet sites. [Compressed using gzip so cannot be rendered by all browsers.] ...more>> Homepage & Papers - Dr. Peter Singer Dr. Singer is associated with the MeVis-Center for Diagnostic Systems and Medical Visualization at the Univ. of Bremen, Germany. His interests and publications include: mathematics of finance; Fourier analysis; fractals; medical image processing; stochastic ...more>> Image Coding Using Wavelets - Signal and Image Processing Group, University of Bath Read the article "What makes a good orthonormal wavelet for image compression?" Download other wavelet articles in PDF or PostScript format. Visit the Wavelet Warehouse, a repository of wavelet filters (biorthogonal and orthonormal) to download and ...more>> Image Compression - from DCT to Wavelets: A Review - Subhasis Saha An article published in ACM Crossroads, the student magazine of the Association for Computing Machinery, about how recent growth in data-intensive multimedia-based Web applications has not only sustained the need for more efficient ways to encode signals ...more>> Interactive Mathematics - Murray Bourne, Ngee Ann Polytechnic, Singapore Flash Tutorials for Pre-Calculus (Algebra, Trigonometry, Logarithms, Complex Number Systems, Graphs); Calculus (Differentiation - The Derivative, its Applications, Deriving Transcendental Functions; Integration, its Applications and Methods), and Advanced ...more>> International Conference on Technology in Collegiate Mathematics (ICTCM) (Mathematics Archives) - Przemyslaw Bogacki, Managing Editor Home site of the Electronic Proceedings of the International Conference on Technology in Collegiate Mathematics (EPICTCM), an annual conference sponsored by Addison-Wesley (on this site are conferences from 1994-1998). Papers are presented through an ...more>> Jacket's Wavelets - Brani Vidakovic; Georgia Institute of Technology The Georgia Institute of Technology Wavelet Group. Software, courses, books, research papers, data sets, links to wavelet applets and pages. ...more>> Jeffrey C. Lagarias A member of the University of Michigan Department of Mathematics. List of publications, with many available for download in PostScript format; Lagarias' research interests include Number Theory, also Computational Complexity Theory, Cryptography, Discrete ...more>> Jones and Bartlett Publishers Publisher of textbooks, professional and reference books, and multimedia products in a variety of disciplines including mathematics. Publications range from introductory to graduate level in the college market and from practitioners to specialists in ...more>> Kevin Cowtan's Book of Fourier Transforms - Kevin Cowtan A book of pictorial 2-d Fourier Transforms, particularly relevant to the field of X-ray crystallography, but also of interest to anyone involved in signal processing or frequency domain calculations. ...more>> La Petite Galerie du CRM - Centre de Recherches Mathématiques A gallery of the research activities from the CRM. Contour plotting in Java - available in both French and English; also A Collision of Two KdV Solitons, L'avion Aurora, Montréal vue de l'espace, Fusion de données, Signatures radars et infrarouges ...more>> Learning by Simulations - Hans Lohninger, Virtual Institute of Applied Science Simulation software for Windows PCs, available free for non-commercial educational purposes. (The author requests a postcard describing your use of his programs.) Covered math topics include: Fourier Synthesis, Travelling Salesman Problem, Vector Fields, ...more>> Leonardo, Water, and Math - Ivars Peterson (MathLand) Leonardo da Vinci had a special interest in water, both practical and theoretical. Between the years 1506 and 1510, as he shuttled between projects in Milan and Florence, Leonardo jotted down his thoughts in a scientific notebook. His intention was to ...more>>

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