Publication
IEEE Transactions on Audio and Electroacoustics
Paper

The Finite Fourier Transform

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Abstract

The finite Fourier transform of a finite sequence is defined and its elementary properties are developed. The convolution and term-by-term product operations are defined and their equivalent operations in transform space are given. A discussion of the transforms of stretched and sampled functions leads to a sampling theorem for finite sequences. Finally, these results are used to give a simple derivation of the fast Fourier transform algorithm. Copyright © 1969 by The Institute of Electrical and Electronics Engineers, Inc.

Date

01 Jan 1969

Publication

IEEE Transactions on Audio and Electroacoustics

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