Wavelets and Multiwavelets
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Mathematics

Wavelets and Multiwavelets

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FRITZ KEINERT

First appearing in the late 1980s, wavelets have developed rapidly, and their applications
now reach from signal processing to numerical analysis, operator theory, and beyond.
Among the generalizations of wavelets that have emerged, multiwavelets stand out
because of their potential for short support and for their capability of being both
symmetric and orthogonal. Some existing wavelet books have a short section covering
multiwavelets, but most do no supply a comprehensive overview.

Pulling together information scattered throughout the literature of mathematics and
engineering, Wavelets and Multiwavelets offers a full exposition of wavelet and
multiwavelet theory. Maintaining the delicate balance between mathematical rigor and
readability, the author presents the theory of classical wavelets and general m-band
multiwavelets in parallel. This provides a more coherent approach and yields alternative
proofs and new insights even for standard wavelets. MATLAB routines that allow you
to implement and experiment with multiwavelet algorithms are available from the CRC
Press Web site.

FEATURES

  • Presents one of the first detailed studies of multiwavelets
  • Includes a thorough, self-contained treatment of standard wavelets
  • Provides MATLAB routines for developing and experimenting with multiwavelets
    on the CRC Press Web site
  • Balances theory and applications — valuable to engineers and scientists as well
    as mathematicians

Fritz Keinert is an Associate Professor of Mathematics at Iowa State University, Ames,
Iowa, USA.

CHAPMAN & HALL/CRC

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www.crcpress.com

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Last Updated: November 19, 2003