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A First Course on Wavelets

Eugenio Hernandez, Guido Weiss
Hardcover | Engels | Studies in Advanced Mathematics
€ 366,45
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Omschrijving

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.

  • Specificaties

    Betrokkenen

    Auteur(s):
    Uitgeverij:

    Inhoud

    Aantal bladzijden:
    512
    Taal:
    Engels
    Reeks:

    Eigenschappen

    Productcode (EAN):
    9780849382741
    Verschijningsdatum:
    12/09/1996
    Uitvoering:
    Hardcover
    Bestandsformaat:
    Genaaid
    Afmetingen:
    160 mm x 247 mm
    Gewicht:
    893 g
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