Wavelets: A Mathematical Tool for Signal Analysis

✍ Scribed by Charles K. Chui

• Publisher: Society for Industrial Mathematics
• Year: 1997
• Tongue: English
• Leaves: 229
• Series: Siam Monographs on Mathematical Modeling and Computation
• Edition: illustrated edition
• Category: Library

✦ Synopsis

Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research. Written for an interdisciplinary audience of engineers, applied mathematicians, and other scientists with little or no knowledge of wavelets, readers with an undergraduate background in applied mathematics or engineering will appreciate this book.

✦ Table of Contents

cover......Page 1
Wavelets: A Mathematical Tool for Signal Analysis......Page 4
Contents......Page 6
Foreword......Page 8
Preface......Page 10
Software......Page 14
Notation......Page 16
CHAPTER 1 What are wavelets?......Page 20
CHAPTER 2 Time-Frequency Localization......Page 42
CHAPTER 3 Multiresolution Analysis......Page 58
CHAPTER 4 Orthonormal Wavelets......Page 78
CHAPTER 5 Biorthogonal Wavelets......Page 108
CHAPTER 6 Algorithms......Page 138
CHAPTER 7 Applications......Page 180
Summary and Notes......Page 212
References......Page 218
Subject Index......Page 224