Keinert Wavelets and Multiwavelets

Erscheinungsjahr 2003
ISBN: 978-0-203-01159-1
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 288 Seiten

Theoretically, multiwavelets hold significant advantages over standard wavelets, particularly for solving more complicated problems, and hence are of great interest. Meeting the needs of engineers and mathematicians, this book provides a comprehensive overview of multiwavelets. The author presents the theory of wavelets from the viewpoint of general multiwavelets, which includes scalar m-band and standard wavelets as special cases, provides a more coherent approach, and provides alternative proofs and new insights even for standard wavelets. The treatment includes complete MATLAB routines that allow readers to implement and experiment with multiwavelet algorithms.

Autoren/Hrsg.

Keinert, Fritz

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

Although some wavelet books have a short section on multiwavelets, to date none offer a detailed treatment. Pulling together information scattered throughout the literature of mathematics and engineering, this book offers the first 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 readers to implement and experiment with multiwavelet algorithms are available from the CRC Press Web site.