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The MathWorks announces the first commercial Wavelet analysis tool for engineering applications; Robust functionality, easy-to-use interface and integration with MATLAB environment helps engineers apply Wavelet technology to data analysis and product development.


NATICK, Mass.--(BUSINESS WIRE)--March 11, 1996--The MathWorks, Inc. today announced the availability of the industry's first wavelet (mathematics) wavelet - A waveform that is bounded in both frequency and duration. Wavelet tranforms provide an alternative to more traditional Fourier transforms used for analysing waveforms, e.g. sound.  analysis software tool designed for use in the development of commercial signal and image processing image processing

Set of computational techniques for analyzing, enhancing, compressing, and reconstructing images. Its main components are importing, in which an image is captured through scanning or digital photography; analysis and manipulation of the image, accomplished
 products. The MATLAB (MATrix LABoratory) A programming language for technical computing from The MathWorks, Natick, MA (www.mathworks.com). Used for a wide variety of scientific and engineering calculations, especially for automatic control and signal processing, MATLAB runs on Windows, Mac and  Wavelet Toolbox helps engineers and scientists learn and apply wavelet techniques with an innovative graphical user interface graphical user interface (GUI)

Computer display format that allows the user to select commands, call up files, start programs, and do other routine tasks by using a mouse to point to pictorial symbols (icons) or lists of menu choices on the screen as opposed to having to
 (GUI (Graphical User Interface) A graphics-based user interface that incorporates movable windows, icons and a mouse. The ability to resize application windows and change style and size of fonts are the significant advantages of a GUI vs. a character-based interface. ) and a comprehensive set of wavelet routines. The Wavelet Toolbox is integrated with the industry leading MATLAB Technical Computing Environment and provides engineers with unmatched performance and ease-of-use in developing algorithms to improve data compression data compression

Process of reducing the amount of data needed for storage or transmission of a given piece of information (text, graphics, video, sound, etc.), typically by use of encoding techniques.
 and noise removal in applications such as audio, image and video communications.

Wavelet technology is a major advance in digital signal processing See DSP.

Digital Signal Processing - (DSP) Computer manipulation of analog signals (commonly sound or image) which have been converted to digital form (sampled).
 (DSP (1) (Digital Signal Processor) A special-purpose CPU used for digital signal processing applications (see definition #2 below). It provides ultra-fast instruction sequences, such as shift and add, and multiply and add, which are commonly used in math-intensive ) and data analysis, and can be far more accurate than conventional methods based on Fourier transform Fourier transform

In mathematical analysis, an integral transform useful in solving certain types of partial differential equations. A function's Fourier transform is derived by integrating the product of the function and a kernel function (an exponential function raised to
 analysis. Wavelets See wavelet compression.
Wavelets

The elementary building blocks in a mathematical tool for analyzing functions. The functions can be very diverse; examples are solutions of a differential equation, and one- and two-dimensional signals.
 allow engineers working in diverse industries, including communications hardware, automotive testing, defense avionics and oil exploration, to obtain desired resolutions and pinpoint information at any time or frequency scale.

The scope of applications for wavelets is very wide. The FBI, for instance, has about 10 million sets of fingerprints on file that need to be digitized for cross-reference against unknown prints. FBI analysts chose wavelet technology over competing methods because it can compress the digital images more than 20 times with virtually no loss of information. As a result, agents can search the fingerprint database more quickly and with greater confidence.

"We are excited to release the Wavelet Toolbox because it finally gives engineers the ammunition they need to apply wavelet technology to solve real-world product development challenges," said Jack Little, president, The MathWorks, Inc. "Previously, DSP engineers relied on academic shareware or products with limited documentation and clumsy user interfaces. We have worked with our customers to develop an easy-to-use, commercially supported wavelet analysis tool. We fully expect the Wavelet Toolbox combined with MATLAB to revolutionize signal processing See DSP. ."

Higher Levels of Detail and Analysis

The Wavelet Toolbox provides a graphical environment and a comprehensive collection of routines especially well-suited for examining phenomena that are local, multi-scale and/or non-stationary. The Wavelet Toolbox enables engineers to gain additional insight and performance, compared to Fourier techniques, as wavelet analysis avoids the tradeoffs between time and frequency resolution that is inherent in Fourier analysis Fourier analysis
n.
The branch of mathematics concerned with the approximation of periodic functions by the Fourier series and with generalizations of such approximations to a wider class of functions.
.

With the Wavelet Toolbox, engineers can easily view and explore details in data that other signal analysis techniques miss, such as trends, discontinuities in higher derivatives, self similarity, and breakdown points. Because wavelet techniques offer a different view of data, analysis can often compress or de-noise a signal without appreciable degradation, even when preserving both high and low frequency components.

The Wavelet Toolbox includes:

o ease-of-use through a comprehensive, well-organized GUI

o functionality for experts and novices

o advanced de-noising & compression methods to extract the

minimum number of wavelet coefficients that represent signals

accurately

o an in-depth tutorial on wavelet fundamentals and applications

and extensive reference documentation

o integration with MATLAB and other toolboxes, especially Signal

Processing, Image Processing, Neural Networks and Fuzzy Logic fuzzy logic, a multivalued (as opposed to binary) logic developed to deal with imprecise or vague data. Classical logic holds that everything can be expressed in binary terms: 0 or 1, black or white, yes or no; in terms of Boolean algebra, everything is in one set or  

o ASCII ASCII or American Standard Code for Information Interchange, a set of codes used to represent letters, numbers, a few symbols, and control characters. Originally designed for teletype operations, it has found wide application in computers.  m-file source code to view and customize algorithms

comprehensive point-and-click GUI & command line functionality for

analysis & synthesis

o continuous wavelet transforms, 1-D and 2-D Discrete Wavelet

Transforms (DWT DWT
abbr.
1. deadweight tonnage

2. deadweight tons
), and Wavelet Packet Transforms

o support for popular wavelet families including Biorthognal,

Daubechies, Haar, Mexican Hat, Meyer, Morlet and Symlets

The Wavelet Toolbox comes bundled with the book, Wavelets and Filter Banks, by Gilbert Strang and Truong Nguyen. The book provides a strong theoretical foundation and includes numerous MATLAB-based exercises and examples that complement the Wavelet Toolbox.

System Requirements & Pricing

The MATLAB Wavelet Toolbox is currently shipping for Windows-based PCs, Macintosh systems and all UNIX-based workstations. The Wavelet Toolbox requires MATLAB 4.2.c.1, and the Signal Processing Toolbox and Image Processing Toolboxes are recommended. Commercial pricing for The Wavelet Toolbox starts at $895.

The MathWorks Inc., based in Natick, Mass., develops, markets and supports MATLAB, the industry's premier technical computing environment. MATLAB provides comprehensive math and visualization functionality, specialized application toolboxes, and a powerful high-level language for technical professionals to interactively explore, analyze, design and prototype solutions to their most complex and challenging problems. Industries in which MATLAB is widely used include automotive, aerospace, environmental, telecommunications, disk drive and other computer peripherals, finance, and medical. SIMULINK extends MATLAB to provide a block-diagram environment for modeling, analyzing, and simulating a broad range of dynamic nonlinear systems. With easy access to hundreds of functions and advanced features, more than 250,000 users at the world's leading industrial, government and educational organizations rely on MATLAB for enormormous gains in productivity and flexibility. -0-

For reader inquiry via electronic mail: info@mathworks.com. To access The MathWorks Home Page via the World Wide Web: http://www.mathworks.com.

MATLAB and SIMULINK are registered trademarks of The MathWorks, Inc. All other products and trademarks are the property of their respective holders.

CONTACTS: Joanne Dawson OR Fred Bateman

The MathWorks, Inc. Rourke & Company

508/647-7418 617/267-0042 ext. 330

jdawson@mathworks.com fbateman@rourke.com
COPYRIGHT 1996 Business Wire
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 1996, Gale Group. All rights reserved. Gale Group is a Thomson Corporation Company.

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Date:Mar 12, 1996
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