Introduction to Fourier AnalysisISBN: 978-0-471-01737-0
Hardcover
592 pages
December 1994
 This is a Print-on-Demand title. It will be printed specifically to fill your order. Please allow an additional 15-20 days delivery time. The book is not returnable.
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CONTINUOUS FOURIER ANALYSIS.
Background.
Fourier Series for Periodic Functions.
The Fourier Integral.
Fourier Transforms of Some Important Functions.
The Method of Successive Differentiation.
Frequency-Domain Analysis.
Time-Domain Analysis.
The Properties.
The Sampling Theorems.
DISCRETE FOURIER ANALYSIS.
The Discrete Fourier Transform.
Inside the Fast Fourier Transform.
The Discrete Fourier Transform as an Estimator.
The Errors in Fast Fourier Transform Estimation.
The Four Kinds of Convolution.
Emulating Dirac Deltas and Differentiation on the Fast Fourier Transform.
THE USER'S MANUAL FOR THE ACCOMPANYING DISKS.
Appendices.
Answers to the Exercises.
Index.
Background.
Fourier Series for Periodic Functions.
The Fourier Integral.
Fourier Transforms of Some Important Functions.
The Method of Successive Differentiation.
Frequency-Domain Analysis.
Time-Domain Analysis.
The Properties.
The Sampling Theorems.
DISCRETE FOURIER ANALYSIS.
The Discrete Fourier Transform.
Inside the Fast Fourier Transform.
The Discrete Fourier Transform as an Estimator.
The Errors in Fast Fourier Transform Estimation.
The Four Kinds of Convolution.
Emulating Dirac Deltas and Differentiation on the Fast Fourier Transform.
THE USER'S MANUAL FOR THE ACCOMPANYING DISKS.
Appendices.
Answers to the Exercises.
Index.
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Numerical Methods & Algorithms
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