The discrete fractional Fourier transform [PDF]
IEEE Transactions on Signal Processing, 1999 Summary: We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier transform (DFT) in the same sense that the continuous fractional Fourier transform generalizes the continuous ordinary Fourier transform.
Candan, C., Kutay, M. A., Ozaktas, H. M.
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Study on the Mainardi beam through the fractional Fourier transforms system [PDF]
Компьютерная оптика, 2018 In this paper, we introduced the Mainardi beam and indicated its attributes under the Fractional Fourier transform for power variations of Fractional Fourier transform.
Forouzan Habibi +2 more
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Implementation of quantum and classical discrete fractional Fourier transforms [PDF]
Nature Communications, 2016 Fourier analysis has become a standard tool in contemporary science. Here, Weimann et al. report classical and quantum optical realizations of the discrete fractional Fourier transform, a generalization of the Fourier transform, with potential ...
Steffen Weimann +11 more
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Identification of Sonar Detection Signal Based on Fractional Fourier Transform
Polish Maritime Research, 2018 Aiming at the source of underwater acoustic emission, in order to identify the enemy emission sonar source accurately. Using the digital watermarking technology and combining with the good time-frequency characteristics of fractional Fourier transform ...
Biao Wang +3 more
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Abelian and Tauberian results for the fractional Fourier cosine (sine) transform
AIMS MathematicsIn this paper, we presented Tauberian type results that intricately link the quasi-asymptotic behavior of both even and odd distributions to the corresponding asymptotic properties of their fractional Fourier cosine and sine transforms.
Snježana Maksimović +4 more
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One dimensional fractional frequency Fourier transform by inverse difference operator [PDF]
Advances in Difference Equations, 2019 This article aims to develop fractional order convolution theory to bring forth innovative methods for generating fractional Fourier transforms by having recourse to solutions for fractional difference equations.
Dumitru Baleanu +3 more
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Holographic Three-Dimensional Imaging of Terra-Cotta Warrior Model Using Fractional Fourier Transform. [PDF]
J Imaging, 2019 Gao ZF, Zheng HD, Yu YJ.
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Solving Generalized Heat and Generalized Laplace Equations Using Fractional Fourier Transform
Fractal and Fractional, 2023 In the present work, the main objective is to find the solution of the generalized heat and generalized Laplace equations using the fractional Fourier transform, which is a general form of the solution of the heat equation and Laplace equation using the ...
Sri Sulasteri +4 more
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Simplified fractional Fourier transforms [PDF]
Journal of the Optical Society of America A, 2000 The fractional Fourier transform (FRFT) has been used for many years, and it is useful in many applications. Most applications of the FRFT are based on the design of fractional filters (such as removal of chirp noise and the fractional Hilbert transform) or on fractional correlation (such as scaled space-variant pattern recognition).
Pei, Soo-Chang, Ding, Jian-Jiun
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Fractional Hartley Transform and its Inverse
مجلة بغداد للعلوم, 2023 The Hartley transform generalizes to the fractional Hartley transform (FRHT) which gives various uses in different fields of image encryption. Unfortunately, the available literature of fractional Hartley transform is unable to provide its inversion ...
Vasant Gaikwad
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