A Wavelet Tour of Signal Processing (Google eBook)

Front Cover
Academic Press, Sep 14, 1999 - Mathematics - 620 pages
2 Reviews
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
  

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User Review - Flag as inappropriate

It is a mathematically well-organized book on wavelet theories. Also, it well explains the most important theories such as wavelet zooming with beautiful language. I am perfectly satisfied with it.

Review: A Wavelet Tour of Signal Processing

User Review  - Galal - Goodreads

Very good book for the basics and suitable for the beginners . Read full review

Contents

CHAPTER I INTRODUCTION TO A TRANSIENT WORLD
1
CHAPTER II FOURIER KINGDOM
20
CHAPTER III DISCRETE REVOLUTION
42
CHAPTER IV TIME MEETS FREQUENCY
67
CHAPTER V FRAMES
125
CHAPTER VI WAVELET ZOOM
163
CHAPTER VII WAVELET BASES
220
CHAPTER VIII WAVELET PACKET AND LOCAL COSINE BASES
321
CHAPTER IX AN APPROXIMATION TOUR
376
CHAPTER X ESTIMATIONS ARE APPROXIMATIONS
434
CHAPTER XI TRANSFORM CODING
525
APPENDIX A MATHEMATICAL COMPLEMENTS
591
APPENDIX B SOFTWARE TOOLBOXES
603
Bibliography
612
Index
629
Copyright

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About the author (1999)

Ecole Polytechique, Centre de Mathematiques Appliquees, Paris, France