A First Course on Wavelets - Couverture rigide

Hernandez, Eugenio; Weiss, Guido L.

 
9780849382741: A First Course on Wavelets
Couverture rigide
ISBN 10 : 0849382742 ISBN 13 : 9780849382741
Editeur : CRC Press Inc, 1996

Synopsis

Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets.

The text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets.

Some of the topics treated include:

  • Several bases generated by a single function via translations and dilations
  • Multiresolution analysis, compactly supported wavelets, and spline wavelets
  • Band-limited wavelets
  • Unconditionality of wavelet bases
  • Characterizations of many of the principal objects in the theory of wavelets, such as low-pass filters and scaling functions

    The authors also present the basic philosophy that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. Material related to applications is provided, and constructions of splines wavelets are presented.

    Mathematicians, engineers, physicists, and anyone with a mathematical background will find this to be an important text for furthering their studies on wavelets.

    • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l?auteur

    Eugenio Hernandez

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Éditeur
    CRC Press Inc
    Date d'édition
    1996
    Langue
    anglais
    ISBN 10 
    0849382742
    ISBN 13 
    9780849382741
    Reliure
    Relié
    Nombre de pages
    489
    Coordonnées du fabricant
    non disponible
    Personne responsable
    gpsr@libri.de
    gpsr@libri.de

    Friedensallee 273
    Hamburg
    22763
    Allemagne