Wavelets and Multiwavelets

Fritz Keinert

276 pages, parution le 03/12/2003

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Résumé

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 to date, none offer a comprehensive treatment.

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.

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 Web at www.crcpress.com/e_products/downloads
Balances theory and applications --valuable to engineers and scientists as well as mathematicians

Scalar Wavelets
- Basic Theory
- Practical Computation
- Creating Wavelets
- Applications
- Existence and Regularity
Multiwavelets
- Basic Theory
- Practical Computation
- Two-scale Similarity Transforms
- Factorizations of Polyphase Matrices
- Creating Multiwavelets
- Existence and Regularity

A Standard Wavelets
B Mathematical Background
C Computer Resources
References
Index

L'auteur - Fritz Keinert

Iowa State University, Iowa, USA

Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Fritz Keinert
Parution	03/12/2003
Nb. de pages	276
Format	16 x 24
Couverture	Relié
Poids	550g
Intérieur	Noir et Blanc
EAN13	9781584883043