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A Wavelet Tour of Signal Processing

AUTHOR: Chibli G. Mallat
ISBN: 012466606X

SHORT DESCRIPTION: The new edition of this graduate level textbook and reference on the principles and application of wavelets to signal processing includes updated coverage of optical flow calculation and video compression algorithms, image models with bounded...

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         Editorial Review

A Wavelet Tour of Signal Processing
- Book Review,
by Chibli G. Mallat


From Book News, Inc.
The new edition of this graduate level textbook and reference on the principles and application of wavelets to signal processing includes updated coverage of optical flow calculation and video compression algorithms, image models with bounded variation functions, and Bayes and Minimax theories for signal estimation, as well as extensive rewriting and new illustrations and problems. Algorithms and numerical examples are implemented in Wavelab, a Matlab toolbox available over the Internet. Intuitive understanding is emphasized while providing the mathematical foundations and descriptions of fast algorithms.Book News, Inc.®, Portland, OR


Review
"Mallat has not only written a treatise, but also an excellent graduate
text for students in computer science, electrical engineering, and
mathematics" John J. Benedetto, SIAM review


Review
"Mallat has not only written a treatise, but also an excellent graduate
text for students in computer science, electrical engineering, and
mathematics" John J. Benedetto, SIAM review


Book Description
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 École
Polytechnique in Paris.

Key Features
* Provides a broad perspective on the principles and applications of transient signal processing with wavelets
* Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms
* Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection,
multifractal analysis, and time-varying frequency measurements
* Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet
* Content is accessible on several level of complexity, depending on the individual reader's needs
New to the Second Edition
* Optical flow calculation and video compression algorithms
* Image models with bounded variation functions
* Bayes and Minimax theories for signal estimation
* 200 pages rewritten and most illustrations redrawn
* More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics


Book Info
Designed to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. Provides a broad perspective on the principles and applications of transient signal processing with wavelets.


From the Back Cover
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 École
Polytechnique in Paris.

*Provides a broad perspective on the principles and applications of transient signal processing with wavelets.
*Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms.
*Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection,
multifractal analysis, and time-varying frequency measurements.
*Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet.
*Content is accessible on several level of complexity, depending on the individual reader's needs.
*Reviews Fourier analysis and elementary signal processing.
*Introduces windowed Fourier transforms, continuous wavelet transforms, and Wigner-Ville transforms.
*Explains the construction of frames, wavelet orthogonal and biorthogonal bases, wavelet packet and local cosine bases.
*Covers basic approximation theory with applications to signal estimation and transform coding.


About the Author
Stephane Mallat is affiliated with the Ecole Polytechnique, Paris and Courant Institute, New York University.


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         Book Review

A Wavelet Tour of Signal Processing
- Book Reviews,
by Chibli G. Mallat

A Wavelet Tour of Signal Processing

ANNOTATION

Audience: Academics and researchers, research and development engineers in industry, and graduate-level students.

FROM THE PUBLISHER

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 École Polytechnique in Paris.

NEW IN THE SECOND EDITION: Optical flow calculation and video compression algorithms Image models with bounded variation functions Bayes and Minimax theories for signal estimation 200 pages rewritten and most illustrations redrawn More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

Provides a broad perspective on the principles and applications of transient signal processing with wavelets. Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms. Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements. Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet. Content is accessible on several level of complexity, depending on the individual reader's needs.

SYNOPSIS

This book is intended to serve as 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 Ecole Polytechnique in Paris.

It provides a brood perspective on the principles and applications of transient signal processing with wavelets; emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms; content is accessible on several levels of complexity, depending on the individual reader's needs.From the Bookjacket

FROM THE CRITICS

Booknews

The new edition of this graduate level textbook and reference on the principles and application of wavelets to signal processing includes updated coverage of optical flow calculation and video compression algorithms, image models with bounded variation functions, and Bayes and Minimax theories for signal estimation, as well as extensive rewriting and new illustrations and problems. Algorithms and numerical examples are implemented in Wavelab, a Matlab toolbox available over the Internet. Intuitive understanding is emphasized while providing the mathematical foundations and descriptions of fast algorithms. Annotation c. Book News, Inc., Portland, OR (booknews.com)


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