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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/1439

Title: On the physical relevance of the discrete Fourier transform
Authors: Greben, JM
Keywords: Discrete fourier transforms
Interpolation
Issue Date: Nov-1991
Publisher: Elsevier Science B.V
Citation: Greben, JM. 1991. On the physical relevance of the discrete Fourier transform. Applied Mathematical Modelling, Vol. 15, pp 657-660
Abstract: This paper originated from the author's dissatisfaction with the way the discrete Fourier transform is usually presented in the literature. Although mathematically correct, the physical meaning of the common representation is unsatisfactory, and no direct relationship exists with the continuous Fourier transform and the Fourier series. The authors present the discrete Fourier transform in a form that is physically relevant and relates obviously to the continuous Fourier transformation and the Fourier series. They also discuss some consequences of this form for the smoothing and filtering of the Fourier expansion. In a brief section on applications the authors discuss the usefulness of this discrete Fourier transform for interpolation purposes and its limitations, in particular the problem of aliasing. They then comment on the application of the fast Fourier transform (FFT) methods in the new context.
Description: Copyright: 2007 Elsevier Science
URI: http://hdl.handle.net/10204/1439
ISSN: 0307-904X
Appears in Collections:Logistics and quantitative methods
General science, engineering & technology

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