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Wavelets Made Easy

  • Yves Nievergelt

Part of the Modern Birkhäuser Classics book series (MBC)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Algorithms for Wavelet Transforms

    1. Front Matter
      Pages 1-1
    2. Yves Nievergelt
      Pages 3-35
    3. Yves Nievergelt
      Pages 36-72
    4. Yves Nievergelt
      Pages 73-113
  3. Basic Fourier Analysis

    1. Front Matter
      Pages 115-115
    2. Yves Nievergelt
      Pages 117-146
    3. Yves Nievergelt
      Pages 147-174
    4. Yves Nievergelt
      Pages 175-201
  4. Computation and Design of Wavelets

    1. Front Matter
      Pages 203-203
    2. Yves Nievergelt
      Pages 205-237
    3. Yves Nievergelt
      Pages 238-261
    4. Yves Nievergelt
      Pages 262-283
  5. Back Matter
    Pages 285-297

About this book

Introduction

Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets.  Written at the level of a first course in calculus and linear algebra, its accessible presentation is designed for undergraduates in a variety of disciplines—computer science, engineering, mathematics, mathematical sciences—as well as for practicing professionals in these areas. 

 

The present softcover reprint retains the corrections from the second printing (2001) and makes this unique text available to a wider audience. The first chapter starts with a description of the key features and applications of wavelets, focusing on Haar's wavelets but using only high-school mathematics. The next two chapters introduce one-, two-, and three-dimensional wavelets, with only the occasional use of matrix algebra.

 

The second part of this book provides the foundations of least-squares approximation, the discrete Fourier transform, and Fourier series. The third part explains the Fourier transform and then demonstrates how to apply basic Fourier analysis to designing and analyzing mathematical wavelets. Particular attention is paid to Daubechies wavelets.

 

Numerous exercises, a bibliography, and a comprehensive index combine to make this book an excellent text for the classroom as well as a valuable resource for self-study.

Keywords

Daubechies wavelets Fourier series Fourier transform Haar's wavelets least-squares approximation signal processing

Authors and affiliations

  • Yves Nievergelt
    • 1
  1. 1., Department of MathematicsEastern Washington UniversityCheneyUSA

Bibliographic information

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