Computational Signal Processing with Wavelets

by Anthony Teolis

Overview

This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets. With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis.

The text is written in a clear, accessible style avoiding unnecessary abstractions and details. From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification. Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) that is available on the World Wide Web.

Topics and Features

• Continuous wavelet and Gabor transforms

• Frame-based theory of discretization and reconstruction of analog signals is developed

• New and efficient "overcomplete" wavelet transform is introduced and applied

• Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available

This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems. Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools. The present, softcover reprint is designed to make this classic textbook available to a wider audience.

A self-contained text that is theoretically rigorous while maintaining contact with interesting applications. A particularly noteworthy topic…is a class of ‘overcomplete wavelets’. These functions are not orthonormal and they lead to many useful results.

—Journal of Mathematical Psychology

Product Details

ISBN-13:	9783319657462
Publisher:	Springer International Publishing
Publication date:	10/01/2017
Series:	Modern Birkhäuser Classics
Edition description:	1st ed. 2017
Pages:	324
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Introduction.- Mathematical Preliminaries.- Signal Representation and Frames.- Continuous Wavelet and Gabor Transforms.- Discrete Wavelet Transform.- Overcomplete Wavelet Transform.- Wavelet Signal Processing.- Object-Oriented Wavelet Analysis with MATLAB 5.- References.- Index.

Editorial Reviews

"This book provides an expository treatment of wavelets from a signal processing perspective. The focus is on the expansion of signals in overcomplete wavelet systems. All illustrations of the theory are generated in the framework of the Matlab toolbox wavelet signal processing workstation (WSPW) made publicly available by the author.... The last chapter is a manual for WSPW, and the whole book serves as an extended manual." —Mathematical Reviews

"This book provides a bridge between theory and practice of wavelet-based signal processing and is written for both students and professionals. A solid mathematical foundation is given in the beginning chapters [1–6].... Several applications of wavelet-based signal processing including noise suppression, signal compression, signal identification and digital communication are presented in Chapter 7. Chapter 8 gives numerical illustrations and examples of wavelet methods using MATLAB 5. The accomanying MATLAB-based software is available on the world wide web. Every chapter of the book contains a collection of exercises." —Zentralblatt MATH

"A self-contained text that is theoretically rigorous while maintaining contact with interesting applications. A particularly noteworthy topic…is a class of ‘overcomplete wavelets’. These functions are not orthonormal and they lead to many useful results." —Journal of Mathematical Psychology

From the Publisher