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Digital computation of the fractional Fourier transform

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1996Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Signal Processing, volume 44, pages 2,141-2,150 (issn: 1053-587X, eissn: 1941-0476, Copyright policy )
Authors: Ozaktas, H. M.; Arikan, O.; Kutay, M. A.; Bozdagi, G.;

doi: 10.1109/78.536672

handle: 11693/25742 , 11693/10836

Digital computation of the fractional Fourier transform

Abstract

An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with time-bandwidth product N, the presented algorithm computes the fractional transform in O(NlogN) time. A definition for the discrete fractional Fourier transform that emerges from our analysis is also discussed.

Related Organizations
Keywords

Signal, Eigenvalues and eigenfunctions, Approximation theory, Radon-wigner, Digital signal processing, T?me-frequency-distributions, Fractional Fourier transforms, Fourier transforms, Bandwidth, Phase, Representat?on, Wigner distribution, Order, Opt?cal Implementation, Numerical methods, Chirplets, Mathematical operators, Calculations, Tomography, Integral equations, Algorithms, Wavelet Transforms

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1K
Top 0.1%
Top 0.1%
Top 1%
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