A Primer on Wavelets and Their Scientific Applications / Edition 2

by James S. Walker

Overview

In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include the latest developments, this second edition of A Primer on Wavelets and Their Scientific Applications guides readers through the main ideas of wavelet analysis in order to develop a thorough appreciation of wavelet applications.

Ingeniously relying on elementary algebra and just a smidgen of calculus, Professor Walker demonstrates how the underlying ideas behind wavelet analysis can be applied to solve significant problems in audio and image processing, as well in biology and medicine.

Nearly twice as long as the original, this new edition provides

104 worked examples and 222 exercises, constituting a veritable book of review material

Two sections on biorthogonal wavelets

A mini-course on image compression, including a tutorial on arithmetic compression

Extensive material on image denoising, featuring a rarely covered technique for removing isolated, randomly positioned clutter

Concise yet complete coverage of the fundamentals of time-frequency analysis, showcasing its application to audio denoising, and musical theory and synthesis

An introduction to the multiresolution principle, a new mathematical concept in musical theory

Expanded suggestions for research projects

An enhanced list of references

Product Details

ISBN-13:	9781138442436
Publisher:	Taylor & Francis
Publication date:	07/27/2017
Series:	Studies in Advanced Mathematics
Edition description:	2nd ed.
Pages:	320
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

James S. Walker

Table of Contents

Haar Wavelets. Daubechies Wavelets. Two-Dimensional Wavelets. Frequency Analysis. Beyond Wavelets. Software for Wavelet Analysis.

Editorial Reviews

An introduction to wavelet analysis without mathematical rigor, requiring only algebra and some basic calculus. Focus is on applications in analyzing digital data, with enough theoretical background to understand ideas behind fundamental applications of wavelets. Coverage includes speech compression and analysis, image compression and enhancement, and removing noise from audio and images. Includes exercises and experiments. A web site provides software discussed in the book, for recording, displaying, modifying, and printing IEEE gray field images without a C++ compiler or MATLAB. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"The book’s relative lack of formalism results in a low symbol-to-word ratio; here is a math text that can be read quickly yet with comprehension. This is in keeping with the goal of engaging the applications as quickly and painlessly as possible. With such accessibility and a first-rate supporting apparatus, this flexible book can teach various audiences the basics of wavelets, involve them in applications, and inspire them to learn more."

– David A. Huckaby, Angelo State University, in MAA Online, July 2008

From the Publisher