An Introduction to Wavelet Analysis

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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