DFRFT: A Classified Review of Recent Methods with Its Application

In the literature, there are various algorithms available for computing the discrete fractional Fourier transform (DFRFT). In this paper, all the existing methods are reviewed, classified into four categories, and subsequently compared to find out the best alternative from the view point of minimal...

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Main Authors: Ashutosh Kumar Singh, Rajiv Saxena
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Engineering
Online Access:http://dx.doi.org/10.1155/2013/214650
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author Ashutosh Kumar Singh
Rajiv Saxena
author_facet Ashutosh Kumar Singh
Rajiv Saxena
author_sort Ashutosh Kumar Singh
collection DOAJ
description In the literature, there are various algorithms available for computing the discrete fractional Fourier transform (DFRFT). In this paper, all the existing methods are reviewed, classified into four categories, and subsequently compared to find out the best alternative from the view point of minimal computational error, computational complexity, transform features, and additional features like security. Subsequently, the correlation theorem of FRFT has been utilized to remove significantly the Doppler shift caused due to motion of receiver in the DSB-SC AM signal. Finally, the role of DFRFT has been investigated in the area of steganography.
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institution Kabale University
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spelling doaj-art-272db7f6814f4e75bcd5a4b45a5e9a6b2025-08-20T03:54:48ZengWileyJournal of Engineering2314-49042314-49122013-01-01201310.1155/2013/214650214650DFRFT: A Classified Review of Recent Methods with Its ApplicationAshutosh Kumar Singh0Rajiv Saxena1Department of Electronics and Communication Engineering, Jaypee University of Engineering and Technology, Guna, Raghogarh, Madahya Pradesh 473226, IndiaDepartment of Electronics and Communication Engineering, Jaypee University of Engineering and Technology, Guna, Raghogarh, Madahya Pradesh 473226, IndiaIn the literature, there are various algorithms available for computing the discrete fractional Fourier transform (DFRFT). In this paper, all the existing methods are reviewed, classified into four categories, and subsequently compared to find out the best alternative from the view point of minimal computational error, computational complexity, transform features, and additional features like security. Subsequently, the correlation theorem of FRFT has been utilized to remove significantly the Doppler shift caused due to motion of receiver in the DSB-SC AM signal. Finally, the role of DFRFT has been investigated in the area of steganography.http://dx.doi.org/10.1155/2013/214650
spellingShingle Ashutosh Kumar Singh
Rajiv Saxena
DFRFT: A Classified Review of Recent Methods with Its Application
Journal of Engineering
title DFRFT: A Classified Review of Recent Methods with Its Application
title_full DFRFT: A Classified Review of Recent Methods with Its Application
title_fullStr DFRFT: A Classified Review of Recent Methods with Its Application
title_full_unstemmed DFRFT: A Classified Review of Recent Methods with Its Application
title_short DFRFT: A Classified Review of Recent Methods with Its Application
title_sort dfrft a classified review of recent methods with its application
url http://dx.doi.org/10.1155/2013/214650
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AT rajivsaxena dfrftaclassifiedreviewofrecentmethodswithitsapplication