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Fractional Fourier transform as a signal processing tool: An overview of recent developments

Sejdić, E and Djurović, I and Stanković, L (2011) Fractional Fourier transform as a signal processing tool: An overview of recent developments. Signal Processing, 91 (6). 1351 - 1369. ISSN 0165-1684

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Abstract

Fractional Fourier transform (FRFT) is a generalization of the Fourier transform, rediscovered many times over the past 100 years. In this paper, we provide an overview of recent contributions pertaining to the FRFT. Specifically, the paper is geared toward signal processing practitioners by emphasizing the practical digital realizations and applications of the FRFT. It discusses three major topics. First, the manuscripts relates the FRFT to other mathematical transforms. Second, it discusses various approaches for practical realizations of the FRFT. Third, we overview the practical applications of the FRFT. From these discussions, we can clearly state that the FRFT is closely related to other mathematical transforms, such as timefrequency and linear canonical transforms. Nevertheless, we still feel that major contributions are expected in the field of the digital realizations and its applications, especially, since many digital realizations of the FRFT still lack properties of the continuous FRFT. Overall, the FRFT is a valuable signal processing tool. Its practical applications are expected to grow significantly in years to come, given that the FRFT offers many advantages over the traditional Fourier analysis. © 2010 Elsevier B.V. All rights reserved.

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Details

Item Type: Article
Status: Published
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Sejdić, E
Djurović, I
Stanković, L
Date: 1 June 2011
Date Type: Publication
Journal or Publication Title: Signal Processing
Volume: 91
Number: 6
Page Range: 1351 - 1369
DOI or Unique Handle: 10.1016/j.sigpro.2010.10.008
Schools and Programs: Swanson School of Engineering > Electrical and Computer Engineering
Refereed: Yes
ISSN: 0165-1684
Date Deposited: 14 May 2014 16:28
Last Modified: 31 Jul 2020 15:56
URI: http://d-scholarship.pitt.edu/id/eprint/21511

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