An Introduction to Wavelet Analysis

Corrected 2004. Corr. 2. Printing 2004 Auflage
ISBN: 978-0-8176-3962-4
Verlag: Birkhauser Boston

Buch, Englisch, 452 Seiten, Format (B × H): 162 mm x 244 mm, Gewicht: 1840 g

Reihe: Applied and Numerical Harmonic Analysis

This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.

Zielgruppe

Research

Autoren/Hrsg.

Walnut, David F

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik

Inhaltsverzeichnis

Preface

Part I: Preliminaries

Functions and Convergence

Fourier Series

The Fourier Transform

Signals and Systems

Part II: The Haar System

The Haar System

The Discrete Haar Transform

Part III: Orthonormal Wavelet Bases

Mulitresolution Analysis

The Discrete Wavelet Transform

Smooth, Compactly Supported Wavelets

Part IV: Other Wavelet Constructions

Biorthogonal Wavelets

Wavelet Packets

Part V: Applications

Image Compression

Integral Operators

Appendix A: Review of Advanced Calculus and Linear Algebra

Appendix B: Excursions in Wavelet Theory

Appendix C: References Cited in the Text

Index