Discrete Wavelet Transformations, 2nd Edition

ACKNOWLEDGMENTS

There are the usual motivations for writing a second edition of a book – timely updates, error corrections, or basic reorganization of topics are likely reasons. For this book the driving motivation was the realization that it is possible to present the material to students with limited background in numerical analysis. I am indebted to David Ruch and Catherine Bénéteau for suggesting that I consider this notion. I taught the course a couple of times using their suggestions and was convinced to make the suggested changes. The idea is to develop some wavelet filters using non‐Fourier methods. To do so meant a major rewrite of early chapters and a shift of Fourier topics to the end of the book. I am grateful for their suggestions.

I am also grateful to Bruce Atwood, Catherine Bénéteau, Caroline Haddad, Kristin Pfabe, David Ruch, and Roger Zarnowski for the careful proofreading of chapter drafts. I appreciate the work of two St. Thomas students on this project. Naomi Latt worked through many of the live examples and created a significant amount of Mathematica and MATLAB code. Emma Western worked through all the exercises in the first seven chapters of the book, checking for correctness of solutions and clarity.

Thanks in advance to all readers who suggest improvements in the presentation, create new computer labs, or develop new problems. Please contact me with your ideas!

P.V.F.