Cover image for A primer on wavelets and their scientific applications
Title:
A primer on wavelets and their scientific applications
Author:
Walker, James S.
Personal Author:
Publication Information:
Boca Raton, Fla. : Chapman & Hall/CRC, [1999]

©1999
Physical Description:
155 pages : illustrations ; 24 cm.
Language:
English
Subject Term:
ISBN:
9780849382765
Format :
Book

Available:*

Library
Call Number
Material Type
Home Location
Status
Central Library QA403.3 .W33 1999 Adult Non-Fiction Non-Fiction Area
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Summary

Summary

The rapid growth of wavelet applications-speech compression and analysis, image compression and enhancement, and removing noise from audio and images-has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then, that engineers and scientists have a working understanding of wavelets. Until now, however, the study of wavelets has been beyond the mathematical grasp of many who need this understanding. Most treatments of the subject involve ideas from functional analysis, harmonic analysis, and other difficult mathematical techniques.

Wavelets and their Scientific Applications offers an introduction to wavelet analysis without mathematical rigor, requiring only algebra and some very basic calculus. The author stresses applications, and explains, using elementary algebra, how wavelet methods are typically applied in analyzing digital data.

Software is available for download through CRC's Website that will enable recording, playing, and modifying sound files, and includes a facility for displaying, printing and modifying IEEE gray field images. Unlike other software packages for wavelet analysis, the author developed this attractive, easy-to-use software without the need for a C++ compiler or MATLAB#65533;. Throughout the book the author provides numerous suggestions for computer experiments designed to challenge and enhance the reader's comprehension and provide practice in applying the concepts learned.

Wavelets and their Scientific Applications thus provides the perfect vehicle for understanding wavelets and their uses. It provides a fast-track learning opportunity for scientists and mathematicians unfamiliar with wavelet concepts and applications, and it is ideal for anyone without an extensive mathematical background.


Reviews 1

Choice Review

Wavelets and their numerous applications have exploded in research and the literature. Walker's is one such book; it makes an honest attempt to introduce the fundamental concepts of wavelets. Unlike trailblazers such as Ingrid Daubechies's Ten Lectures on Wavelets (1992), Walker shies away from the use of elegant mathematical analysis and emphasizes the basic ideas on which the several wavelet algorithms thrive. Relying on fundamental concepts in algebra and calculus, Walker not only provides the much-needed link between theory and application but also gives a lucid description of the application of wavelets. Haar wavelets are introduced in the beginning and used to introduce other fundamental concepts, such as scaling functions and multiresolution analysis; a discussion of Daubechies wavelets and wavelet packet transforms follows. A more thorough explanation of multiresolution analysis may be required in future revisions. Examples have been consciously limited to discrete data in order to avoid the mathematical rigor that could be a distraction to nonmathematicians. Another feature is provision of the software FAWAV, which can be downloaded from the Internet and used alongside the book. Readers will find this primer an invaluable reference in the application of wavelets to denoising and compression of signals and images, and image enhancement. Highly recommended. Upper-division undergraduates through professionals. D. E. Bentil University of Vermont


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