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Media type:
E-Article
Title:
A Table of Discrete Fourier Transform Pairs
Contributor:
Conolly, Brian;
Good, I. J.
Published:
Society for Industrial and Applied Mathematics, 1977
Published in:SIAM Journal on Applied Mathematics
Extent:
810-822
Language:
English
ISSN:
0036-1399
Abstract:
<p>A classification of methods for generating discrete Fourier transform pairs is given, followed by a table of 29 pairs. Many of these are new, whereas some have been collected from various literature sources. We have tried to make the table interesting rather than comprehensive. The generalization of the Gaussian sums is a good example. Hundreds of additional nonobvious finite identities can be deduced by using the Rayleigh-Parseval formula and convolutions.</p>
Description:
<p>A classification of methods for generating discrete Fourier transform pairs is given, followed by a table of 29 pairs. Many of these are new, whereas some have been collected from various literature sources. We have tried to make the table interesting rather than comprehensive. The generalization of the Gaussian sums is a good example. Hundreds of additional nonobvious finite identities can be deduced by using the Rayleigh-Parseval formula and convolutions.</p>