A Wavelet Tour of Signal Processing: The Sparse Way

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Stephane Mallat (Ecole Polytechique, Centre de Mathematiques Appliquees, Paris, France)

A Wavelet Tour of Signal Processing

The Sparse Way

Stephane Mallat (Ecole Polytechique, Centre de Mathematiques Appliquees, Paris, France)

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English

Elsevier
11 December 2008

Mathematics & Sciences; Communications engineering & telecommunications

Information (TM) Information (TM) ='CRLF'> 1. Sparse Representations 1.1 Computa tional Harmonic Analysis 1.1.1 Fourier Kingdom 1.1.2 Wavelet Bases 1.2 Approximation and Processing in Bases 1.2.1 Sampling with Linear Approximations 1.2.2 Sparse Non-linear Approximations 1.2.3 Compressi on 1.2.4 Denoising 1.3 Time-Frequency Dictio naries 1.3.1 Heisenberg Uncertainty 1.3.2 Wi ndowed Fourier Transform 1.3.3 Continuous Wavelet Transfor m 1.3.4 Time-Frequency Orthonormal Bases 1.4 Sparsity in Redundant Dictionaries 1.4.1 Frame Analysis a nd Synthesis 1.4.2 Ideal Dictionary Approximations 1.4.3 Pursuit in Dictionaries 1.5 Inverse Problems < BR id='CRLF'>1.5.1 Diagonal Inverse Estimation 1.5.2 Super -Resolution and Compressive Sensing 1.6 Travel Guide

2. Fourier Kingdom 2.1 Linear Time-I

By: Stephane Mallat (Ecole Polytechique Centre de Mathematiques Appliquees Paris France)
Imprint: Elsevier
Country of Publication: United States
Edition: 3rd edition
Dimensions: Height: 235mm, Width: 191mm, Spine: 46mm
Weight: 1.530kg
ISBN: 9780123743701
ISBN 10: 0123743702
Pages: 832
Publication Date: 11 December 2008
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Stephane 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.

Reviews for A Wavelet Tour of Signal Processing: The Sparse Way

There is no question that this revision should be published. 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