A wavelet tour of signal processing : the sparse way / Stéphane Mallat ; with contributions from Gabriel Peyré
Type de document : MonographieLangue : anglais.Pays: Etats Unis.Mention d'édition: 3rd editionÉditeur : Boston : Academic Press, cop. 2009Description : 1 vol. (XX-805 p.) : ill. ; 25 cmISBN: 9780123743701.Bibliographie : Bibliogr. p. 765-793. Index.Sujet MSC : 94A12, Communication, information, Signal theory (characterization, reconstruction, filtering, etc.)94-02, Research exposition (monographs, survey articles) pertaining to information and communication theory
42C40, Nontrigonometric harmonic analysis involving wavelets and other special systems
65T60, Numerical analysis - Numerical methods in Fourier analysis, Numerical methods for wavelets
94A08, Communication, information, Image processing in information and communication theoryEn-ligne : MathSciNet | zbMath
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 2 | 94 MAL (Browse shelf(Opens below)) | Available | 10582-01 |
... This book consists of 13 chapters, an appendix (on mathematical complements), an updated bibliography (with 501 references), and a subject index. Putting sparsity at the center of the book implied rewriting many parts and adding sections. Chapter 1 provides the main ideas and gives an orientation of this book. The titles of Chapters 2–9 are not changed. Chapter 10 introduces the signal compression together with the image compression standards JPEG and JPEG-2000. Chapter 11 presents methods for signal denoising. Chapters 12 and 13 are completely new. Chapter 12 introduces sparse signal approximations in redundant dictionaries with pursuit algorithms. Chapter 13 deals with the resolution of inverse problems, super-resolution, compressive sensing, and source separation. Further new topics in this book are computer tomography, lifting for wavelets on surfaces, geometric image processing with curvelets and bandlets, time-frequency audio processing and denoising.
More exercises (ordered by level of difficulty) have been added at the end of each chapter. A new website http://wavelet-tour.com provides exercise solutions, figures, MATLAB toolboxes, C/C++ codes and teaching material (slides with figures). The author proposes 6 course programs which can be covered by selected chapters. This survey of the basic features of most topics of sparse signal processing is an invaluable resource for researchers and graduate students in applied mathematics and signal processing. Without doubt, this work will stimulate the further research. (zbMath)
Bibliogr. p. 765-793. Index
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