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https://doi.org/10.1145/234539...
Article . 2012 . Peer-reviewed
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Fractional Fourier transform

a survey
descriptionPublicationkeyboard_double_arrow_right Article , Conference object 03 Aug 2012Publisher:ACMJournal:Proceedings of the International Conference on Advances in Computing, Communications and Informatics
Authors: Battula Tirumala Krishna;

doi: 10.1145/2345396.2345519

Fractional Fourier transform

Abstract

The Fractional Fourier transform (FRFT), which provides generalization of conventional Fourier Transform was introduced many years ago in mathematics literature by Namias. In this paper, definition, properties of fractional Fourier transform and its relationship with other transforms is discussed. Various definitions of discrete version of FRFT and their comparison is presented. FRFT falls under the category of Linear time frequency representations. Some of the applications of FRFT such as detection of signals in noise, image compression, reduction of side lobe levels using convolutional windows, and time-frequency analysis are illustrated with examples. It has been observed that FRFT can be used in more effective manner compared to Fourier transform with additional degrees of freedom.

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selected citations
These citations are derived from selected sources.
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!
9
Top 10%
Top 10%
Average
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