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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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Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures
Entropy, 2022 The discrete Fourier transform is considered as one of the most powerful tools in digital signal processing, which enable us to find the spectrum of finite-duration signals.
Hari M. Srivastava +3 more
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Multiweighted-Type Fractional Fourier Transform: Unitarity
Fractal and Fractional, 2021 The definition of the discrete fractional Fourier transform (DFRFT) varies, and the multiweighted-type fractional Fourier transform (M-WFRFT) is its extended definition. It is not easy to prove its unitarity.
Tieyu Zhao, Yingying Chi
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Circuit of Quantum Fractional Fourier Transform
Fractal and Fractional, 2023 In this paper, we first use the quantum Fourier transform (QFT) and quantum phase estimation (QPE) to realize the quantum fractional Fourier transform (QFrFT).
Tieyu Zhao, Yingying Chi
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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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Improved discrete fractional Fourier transform [PDF]
Optics Letters, 1997 The fractional Fourier transform is a useful mathematical operation that generalizes the well-known continuous Fourier transform. Several discrete fractional Fourier transforms (DFRFT's) have been developed, but their results do not match those of the continuous case. We propose a new DFRFT.
S C, Pei, M H, Yeh
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Discrete fractional Fourier transform [PDF]
1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96, 2002 The continuous fractional Fourier transform (FRFT) represents a rotation of signal in time-frequency plane, and it has become an important tool for signal analysis. A discrete version of fractional Fourier transform has been developed but its results do not match those of continuous case.
Pei, Soo-Chang, Yeh, Min-Hung
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The discrete fractional Fourier transformation [PDF]
Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), 2002 Based on the fractional Fourier transformation of sampled periodic functions, the discrete form of the fractional Fourier transformation is obtained. It is found that for a certain dense set of fractional orders it is possible to define a discrete transformation. Also, for its efficient computation a fast algorithm, which has the same complexity as the
Arıkan, Orhan +3 more
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Satellite based band features change detection using discrete fractional Fourier transform [PDF]
علوم زمین خوارزمی, 2023 Changes in earth surface features may occur due to internal or external changes. However, regardless of the origin of the change, detection and monitoring of these changes will contribute to environmental planning for sustainable development and optimal
raziyeh safa +2 more
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Analytic solution of fractional jeffrey fluid induced by abrupt motion of the plate [PDF]
Matrix Science Mathematic, 2018 This paper presents some new exact solutions corresponding to unsteady fractional Jeffrey fluid produced by a flat plate between two side walls perpendicular to the plate. The fractional calculus approach in the governing equations is used.
Amir Khan +3 more
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