A Comprehensive Survey on Fractional Fourier Transform

• Autorzy: Zhang Y. , Wang S. , Yang J.-F. , Zhang Z. , Phillips P. , Sun P. , Yan J.

Identyfikatory

DOI

10.3233/FI-2017-1477

• Języki publikacji: EN

Abstrakty

EN

The Fractional Fourier transform (FRFT) is a relatively novel linear transforms that is a generalization of conventional Fourier transform (FT). FRFT can transform a particular signal to a unified time-frequency domain. In this survey, we try to present a comprehensive investigation of FRFT. Firstly, we provided definition of FRFT and its three discrete versions (weighted-type, sampling-type, and eigendecomposition-type). Secondly, we offered a comprehensive theoretical research and technological studies that consisted of hardware implementation, software implementation, and optimal order selection. Thirdly, we presented a survey on applications of FRFT to following fields: communication, encryption, optimal engineering, radiology, remote sensing, fractional calculus, fractional wavelet transform, pseudo-differential operator, pattern recognition, and image processing. It is hoped that this survey would be beneficial for the researchers studying on FRFT.

Słowa kluczowe

EN

fractional Fourier transform; discrete fractional Fourier transform; optimal order; time-frequency analysis; fractional wavelet transform; signal processing; fractional calculus

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2017
• Tom: Vol. 151, nr 1/4
• Strony: 1--48
• Opis fizyczny: Bibliogr. 284 poz., tab., wykr.

Twórcy

autor

Zhang Y.

• School of Computer Science and Technology, Nanjing Normal University, Nanjing, Jiangsu 210023, China

autor

Wang S.

• School of Computer Science and Technology, Nanjing Normal University, Nanjing, Jiangsu 210023, China

autor

Yang J.-F.

• Jiangsu Key Laboratory of 3D, Printing Equipment and Manufacturing, Nanjing, Jiangsu 210042, China

autor

Zhang Z.

• Viterbi School of Engineering, University of Southern California, Los Angeles, CA 90089, USA

autor

Phillips P.

• School of Natural Sciences and Mathematics, Shepherd University, Shepherdstown, WV 25443, USA

autor

Sun P.

• Department of Electrical Engineering, The City College of New York, CUNY, New York, NY 10031, USA

autor

Yan J.

• Department of Applied Physics, Stanford University, Stanford, CA 94305, USA

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).