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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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Multichannel Random Discrete Fractional Fourier Transform [PDF]
IEEE Signal Processing Letters, 2015 We propose a multichannel random discrete fractional Fourier transform (MRFrFT) with random weighting coefficients and partial transform kernel functions. First, the weighting coefficients of each channel are randomized. Then, the kernel functions, selected based on a choice scheme, are randomized using a group of random phase-only masks (RPOMs).
Xuejing Kang, Feng Zhang, Ran Tao
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The discrete fractional Fourier transform [PDF]
IEEE Transactions on Signal Processing, 2000 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.
Çağatay Candan +2 more
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Discrete fractional Fourier transform: Vandermonde approach [PDF]
IMA Journal of Applied Mathematics, 2018 Based on the definition of the Fourier transform in terms of the number operator of the quantum harmonic oscillator and in the corresponding definition of the fractional Fourier transform, we have obtained the discrete fractional Fourier transform from the discrete Fourier transform in a completely analogous manner. To achieve this, we have used a very
H. M. Moya-Cessa +1 more
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Defence Technology, 2014 Parameter estimation is analyzed using two kinds of common sampling-type DFRFT (discrete fractional Fourier transform) algorithm. A model of parameter estimation is established. The factors which influence estimation accuracy are analyzed.
Bing Deng, Jun-bao Luan, Shi-qi Cui
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Rational-Ordered Discrete Fractional Fourier Transform
, 2012 Publication in the conference proceedings of EUSIPCO, Bucharest, Romania ...
Wen-Liang Hsue, Soo‐Chang Pei
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Detection of electrocardiogram atrial fibrillation using modified multifractal detrended fluctuation analysis based on discrete transforms and fractional Fourier transform [PDF]
Discover Applied SciencesCardiovascular diseases (CVD) are the most common cause of death. Electrocardiography (ECG) is a preferred non-invasive method for detecting heart diseases. Atrial fibrillation (AF) is a common cardiac disease.
Mohamed Moustafa Azmy
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An Efficient Hamiltonian For Discrete Fractional Fourier Transform
, 2008 {"references": ["S. C. Pei and M. H. Yeh, \"Improved discrete fractional Fourier\ntransform,\" Optics Letters, vol. 22, pp. 1047-1049, July 15 1997.", "Ahmed I. Zayed, \"Relationship between the Fourier and Fractional\nFourier Transforms\", IEEE Signal Processing Letters, vol. 3, no. 12,\nDecember 1996.", "C. Candan, M.A. Kutay, H.M.
Sukrit Shankar +3 more
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Review of Computing Algorithms for Discrete Fractional Fourier Transform [PDF]
Research Journal of Applied Sciences, Engineering and Technology, 2013 Discrete Fractional Fourier Transform (DFRFT) has received lots of attention in last two decades because of its superior benefits and wide applications in various fields. In this study we present a comparative analysis of the most famous algorithms for the computation of DFRFT.
M. Irfan, Liying Zheng, Haroon Shahzad
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Discrete Fourier Transforms of Fractional Processes [PDF]
, 1999 Discrete Fourier transforms (dft's) of fractional processes are studied and an exact representation of the dft is given in terms of the component data. The new representation gives the frequency domain form of the model for a fractional process, and is particularly useful in analyzing the asymptotic behavior of the dft and periodogram in the ...
Peter C.B. Phillips
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