Wavelets

MathWorks - Wavelet Toolbox  
The Wavelet Toolbox provides a comprehensive collection of routines for examining local, multiscale, and nonstationary phenomena. Wavelet methods offer additional insight and performance in any application where Fourier techniques have been used. The Wavelet Toolbox is useful in many signal processing applications, including speech and audio processing, communications, geophysics, finance, and medicine.
Submitted: Aug 28, 2000
A Really Friendly Guide To Wavelets  
A good tutorial on Wavelet theory. This article is aimed at the engineer, not the mathematician. Hence, there are no proofs in the text, which means that this tutorial is much easier to read. However, to understand this tutorial, a mathematical background on an engineering level is required.
Submitted: Dec 24, 2003
Rice Wavelet Toolbox for MATLAB  
Rice-Wlet-Tools (RWT) is a collection of MATLAB M-files and MEX-files implementing wavelet and filter bank design and analysis. In addition to the design tools the toolbox provides code for wavelet applications for both 1D and 2D denoising as well as code for processing of SAR images.
Submitted: Dec 24, 2003
Why Wavelets?  
This is a short introduction to Wavelet Transforms.
Submitted: Dec 24, 2003
Wavelet Image Compression Construction Kit  
This code implements a wavelet transform-based image coder for grayscale images. The coder is not the most sophisticated - it's a simple transform coder - but each individual piece of the transform coder has been chosen for high performance. The coder is quite effective, despite its lack of more sophisticated features such as zerotrees. It is designed to be a foundation upon which more sophisticated coders can be built- there's no need to reinvent the wheel if you're working on only one aspect of the coding process.
Submitted: Dec 24, 2003
Wavelet-domain Hidden Markov Tree (HMT) Models  
Software for Image Denoising using Wavelet-domain Hidden Markov Tree Models. The site contains self-contained MATLAB and C code packages, including examples.
Submitted: Dec 24, 2003
Yale Math Department Wavelets Resources  
This page contains links to some wavelet resources: wavelets software and papers, demonstration of wavelet packets based denoising, and more.
Submitted: Dec 24, 2003
Dr. Yu Zhang's Wavelet and Time Frequency Analysis Page  
Some wavelet and time frequency analysis related papers, talks, software functions and resource links.
Submitted: Jan 25, 2005
book: An Introduction To Wavelets  
This page describes the book "An Introduction To Wavelets". This is the first volume in the series WAVELET ANALYSIS AND ITS APPLICATIONS. It is an introductory treatise on wavelet analysis, with an emphasis on spline wavelets and time-frequency analysis. The book is available for on-line order.
Submitted: Dec 24, 2003
WAILI -- Wavelets with Integer Lifting  
WAILI is a wavelet transform library. It includes some basic image processing operations based on the use of wavelets and forms the backbone of more complex image processing operations. Some features of WAILI: WAILI uses integer wavelet transforms based on the Lifting Scheme, provides various wavelet transforms of the Cohen-Daubechies-Feauveau family of biorthogonal wavelets, provides crop and merge operations on wavelet-transformed images, provides noise reduction based on wavelet thresholding using Generalized Cross Validation, provides scaling of images, provides edge enhancement of images, provides also some simple image operations, allows different image representations.
Submitted: Dec 24, 2003
WavBox Software  
WavBox Software is the original MATLAB Wavelet Toolbox, the first available as free software in 1991, and the first available as commercial software in 1994. The WavBox Software Library and FirWav Filter Library are compatible with MATLAB 5. As a MATLAB Connections Partner, Computational Toolsmiths develops software libraries and provides consulting services for the MATLAB technical computing environment available from The MathWorks Inc.
Submitted: Dec 24, 2003
WaveLab802 for Matlab5.x  
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.
Submitted: Dec 24, 2003
Multifractal Wavelet Model (MWM)  
The MWM is a multiscale multiplicative data model which is able to capture not only correlation structure but also 'spikyness'. The site contains information, Matlab files and articles.
Submitted: Dec 24, 2003
Discrete Periodic Wavelet Transform  
In the papers linked from this page the discrete wavelet transform (DWT) is extended to functions on the discrete circle to create a fast and complete discrete periodic wavelet transform (DPWT).
Submitted: Dec 24, 2003
A Wavelet Wading Pool  
The paper attempts to give a beginner an understanding of the wavelet transform, by practical application of the wavelet techniques to image compression. The Haar Wavelets are considered and applied to this problem, and the difficulties analyzed. In an attempt to change the artifacts seen in the Haar decomposition, a basis proposed by Richard Bartels is applied and experimented with as well. Both bases turn out to introduce too many artifacts into the image to challenge the JPEG encoding, but the COE basis produces better results than the Haar basis as expected.
Submitted: Dec 24, 2003
Wavelets at Imager  
The Imager Wavelet Library (wvlt) is a small set of routines that allow the user to manipulate wavelets. This package includes C source for the library and for three sample binaries that call it, some demos, and some (sparse) documentation.
Submitted: Dec 24, 2003
XWPL, the X Wavelet Packet Laboratory  
XWPL is an X based tool to examine one-dimensional real-valued signals using wavelets and wavelet packets. It has been designed to be as easy to use as possible for beginners. It is intended more as an educational and exploratory tool than as a numerical analysis program, even though it uses fast, optimized wavelet and wavelet packet transforms.
Submitted: Dec 24, 2003
Amazon.com: the book: Wavelet Analysis with Applications to Image Processing  
Introduces the basic aspects of wavelet analysis to students of electrical engineering, computer science and related disciplines. The first four chapters discuss notation and set-theoretic concepts; the structure and properties of infinite dimensional linear manifolds, Banach and Hilbert spaces; the theory of Lebesgue integral and the spaces of absolutely integrable and square integrable functions; and Fourier series and Fourier transforms. The final chapters cover such applications as the urt-Adelson pyramidal decomposition scheme and multiscale edge representation of images.
Submitted: Dec 24, 2003
Wavelet Cascade Applet  
Cascading (or subdivision) is one of the standard methods to build wavelets and scaling functions. With this applet you can graph all scaling functions and wavelets that satisfy refinement relations with four coefficients.
Submitted: Dec 24, 2003
Amazon.com: the book: Wavelet Transforms : Introduction to Theory and Applications  
Written by researchers Raghuveer M. Rao and Ajit S. Bopardikar, Wavelet Transforms provides engineers, scientists, and students with a practical understanding of wavelet transforms and their properties. The authors introduce the underlying theory of the transform by presenting a wide range of applications, such as signal processing, image processing, and communications.
Submitted: Dec 24, 2003
MacWavelets  
MacWavelets v2.00 is an inexpensive, simple, standalone, Macintosh program for performing 1d and 2d discrete wavelet transforms and associated analyses. Version 2.00 of the MacWavelets software includes the 2-d discrete wavelet transform, its inverse, and all associated compression, denoising, and other functions.
Submitted: Dec 24, 2003
Wavelet Digest Home Page  
The Wavelet Digest is a free monthly newsletter edited by Wim Sweldens which contains all kinds of information concerning wavelets: announcement of conferences, preprints, software, questions, etc.
Submitted: Dec 24, 2003
Amazon.com: the book: A Friendly Guide to Wavelets  
The first part comprises a textbook for a one-semester graduate or advanced undergraduate course on wavelets and time-frequency analysis for science, engineering, and mathematics students not presumed to have a sophisticated mathematics background. The second part is more advanced, reporting original research, and can be used for a second semester or combined with the first part as a reference for a research seminar.
Submitted: Dec 24, 2003
Amazon.com: the book: Wavelets and Subband Coding  
This book presents a unified view of wavelets and subband coding ith a signal processing perspective. Covers the discrete-time case, or filter banks; development of avelets; continuous wavelet and local Fourier transforms; efficient algorithms for filter banks and avelet computations; and signal compression.
Submitted: Dec 24, 2003
Amazon.com: the book: A Wavelet Tour of Signal Processing  
This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and cole Polytechnique in Paris.
Submitted: Dec 24, 2003
Amazon.com: the book: Computational Signal Processing With Wavelets  
This book clearly describes wavelets and wavelet processing, and includes information on object-oriented wavelet analysis with MATLAB.
Submitted: Dec 24, 2003
STAT695W  
This is the site of the course Wavelets And Statistical Function Estimation, of Purdue University. The site contains lots of articles and links to wavelets.
Submitted: Dec 24, 2003
Amazon.com: the book The World According to Wavelets : The Story of a Mathematical Technique in the Making  
This ambitious book attempts to explain to non-mathematicians the development and application of wavelet analysis, a recent branch of harmonic analysis. It provides an intuitive overview of wavelets along with mathematical and theoretical presentation.
Submitted: Dec 24, 2003



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