The DFT: An Owners' Manual for the Discrete Fourier Transform

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SIAM, 1995 - Mathematics - 434 pages
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Just as a prism separates white light into its component bands of colored light, so the discrete Fourier transform (DFT) is used to separate a signal into its constituent frequencies. Just as a pair of sunglasses reduces the glare of white light, permitting only the softer green light to pass, so the DFT may be used to modify a signal to achieve a desired effect. In fact, by analyzing the component frequencies of a signal or any system, the DFT can be used in an astonishing variety of problems. Among the applications of the DFT are digital signal processing, oil and gas exploration, medical imaging, aircraft and spacecraft guidance, and the solution of differential equations of physics and engineering. The DFT: An Owner's Manual for the Discrete Fourier Transform explores both the practical and theoretical aspects of the DFT, one of the most widely used tools in science and engineering.
  

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Contents

Introduction
1
The Discrete Fourier Transform
15
Properties of the
65
Multi Multidimensional DFTs
144
Errors
179
A few A Few Applications of the
236
Relate
310
Quadrature and the
357
The Fast Fourier Transform
379
Table of DFTs
401
Bibliography
409
Index
419
Copyright

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About the author (1995)

University of Colorado, Denver

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