A Wavelet Tour of Signal Processing: The Sparse Way

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Academic Press, Dec 18, 2008 - Technology & Engineering - 832 pages
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Mallat's book is the undisputed reference in this field - it is the only one that covers the essential material in such breadth and depth. - Laurent Demanet, Stanford University

The new edition of this classic book gives all the major concepts, techniques and applications of sparse representation, reflecting the key role the subject plays in today's signal processing. The book clearly presents the standard representations with Fourier, wavelet and time-frequency transforms, and the construction of orthogonal bases with fast algorithms. The central concept of sparsity is explained and applied to signal compression, noise reduction, and inverse problems, while coverage is given to sparse representations in redundant dictionaries, super-resolution and compressive sensing applications.

Features:

* Balances presentation of the mathematics with applications to signal processing
* Algorithms and numerical examples are implemented in WaveLab, a MATLAB toolbox

New in this edition

* Sparse signal representations in dictionaries
* Compressive sensing, super-resolution and source separation
* Geometric image processing with curvelets and bandlets
* Wavelets for computer graphics with lifting on surfaces
* Time-frequency audio processing and denoising
* Image compression with JPEG-2000
* New and updated exercises

A Wavelet Tour of Signal Processing: The Sparse Way, Third Edition, is an invaluable resource for researchers and R&D engineers wishing to apply the theory in fields such as image processing, video processing and compression, bio-sensing, medical imaging, machine vision and communications engineering.

Stephane Mallat is Professor in Applied Mathematics at École Polytechnique, Paris, France. From 1986 to 1996 he was a Professor at the Courant Institute of Mathematical Sciences at New York University, and between 2001 and 2007, he co-founded and became CEO of an image processing semiconductor company.
  • Includes all the latest developments since the book was published in 1999, including its
    application to JPEG 2000 and MPEG-4
  • Algorithms and numerical examples are implemented in Wavelab, a MATLAB toolbox
  • Balances presentation of the mathematics with applications to signal processing
  •  

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    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 1 Sparse Representations
    1
    Chapter 2 The Fourier Kingdom
    33
    Chapter 3 Discrete Revolution
    59
    Chapter 4 Time Meets Frequency
    89
    Chapter 5 Frames
    155
    Chapter 6 Wavelet Zoom
    205
    Chapter 7 Wavelet Bases
    263
    Chapter 8 Wavelet Packet and Local Cosine Bases
    377
    Chapter 10 Compression
    481
    Chapter 11 Denoising
    535
    Chapter 12 Sparsity in Redundant Dictionaries
    611
    Chapter 13 Inverse Problems
    699
    Appendix Mathematical Complements
    753
    Bibliography
    765
    Index
    795
    Copyright

    Chapter 9 Approximations in Bases
    435

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    About the author (2008)

    Stéphane Mallat is a Professor in the Computer Science Department of the Courant Institute of Mathematical Sciences at New York University,and a Professor in the Applied Mathematics Department at ccole Polytechnique, Paris, France. He has been a visiting professor in the ElectricalEngineering Department at Massachusetts Institute of Technology and in the Applied Mathematics Department at the University of Tel Aviv. Dr. Mallat received the 1990 IEEE Signal Processing Society's paper award, the 1993 Alfred Sloan fellowship in Mathematics, the 1997Outstanding Achievement Award from the SPIE Optical Engineering Society, and the 1997 Blaise Pascal Prize in applied mathematics, from theFrench Academy of Sciences.

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