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.
Author(s): David F. Walnut
Publisher: Birkhäuser
Year: 2001
Language: English
Pages: 472
Tags: Приборостроение;Обработка сигналов;Вейвлет-анализ;
Front Matter
Preliminaries
Functions and Convergence
Fourier Series
The Fourier Transform
Signals and Systems
The Haar System
The Haar System
The Discrete Haar Transform
Orthonormal Wavelet Bases
Multiresolution Analysis
The Discrete Wavelet Transform
Smooth, Compactly Supported Wavelets
Other Wavelet Constructions
Biorthogonal Wavelets
Wavelet Packets
Applications
Image Compression
Integral Operators
Back Matter