A Wavelet Tour of Signal Processing

by Stéphane Mallat

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.



* 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 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.

Genres: Mathematics, Science, Engineering

832 pages, Hardcover

First published January 1, 1998

Reviews

[David Cournapeau · Rating 5 out of 5]

(I initiall ready the book in French when I was a master student).

For people interested in getting a strong basis in the foundation of (sparse) signal processing, this is an excellent introduction. This is maybe my favorite "applied math book", that review a lot of the advances in signal processing of late 90ies.

It unfortunately went a bit too early to really cover compressed sensing, though it does cover some related sparse-coding topics.

[Teddy · Rating 5 out of 5]

I hate to read a book everyone likes, obviously this is not that situation.

[Joe Cole · Rating 5 out of 5]

It can be a fine book for a college class on wavelets. For readers familiar with MATLAB, all the examples in the book can be reproduced with MATLAB "workouts."

[Alex Gittens · Rating 3 out of 5]

It's a great reference, if you take it with a ton of salt: there are way too many typos and subtle mathematical issues to take any result from this book without verification, and once you try to reproduce the plots, you'll realize that there is often not enough information given for you to know exactly how to do so. On the flip side, it covers a range of topics that you wouldn't usually see all in one place.

[Carlos O'Donell · Rating 4 out of 5]

I have read large portions of this book, but not every page. The book is an excellent example of how a textbook should be written with clear sections on theory, proofs, examples, and questions to solve. If you are bored of FFT and want to discover *why* sin/cos are useful orthogonal functions, then read this book.

[DJ]

wavelets!

[DJ]

apparently human visual cortex does something similar to a wavelet transform

[Galal]

Very good book for the basics and suitable for the beginners .