Let's begin by describing what this book is and what it is not. Fourier
analysis is the study of how functions defined on a continuum (that is, at
all points of an interval) can be represented and analyzed in terms of
periodic functions like sines and cosines. While this is an immensely elegant
and important subject, many practical problems involve doing Fourier analysis
on a computer or doing Fourier analysis on samples of functions, or both.
When carried out in these modes, Fourier analysis becomes discrete Fourier
analysis (also called practical, computational, and finite Fourier analysis).
All of these names convey a sense of usefulness and tangibility that is
certainly one of the hallmarks of the subject. So the first claim is that
this book is about discrete Fourier analysis, with the emphasis on discrete.
Table Of Contents:
List of (Frequently and Consistently Used) Notation
The Discrete Fourier Transform
Properties of the DFT
Errors in the DFT
A Few Applications of the DFT
Quadrature and the DFT
The Fast Fourier Transform
Appendix: Table of DFTs
* ISBN: 0-89871-342-0
* ISBN-13: 978-0-89871-342-8
* Format: Hardcover, 419 pp
* Publisher: Society for Industrial and Applied Mathematics.
* Pub. Date: 1995