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The discrete fractional Fourier transform based on the DFT matrix [PDF]
Signal Processing, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmet Serbes, Lutfiye Durak-Ata
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The hopping discrete fractional Fourier transform
Signal Processing, 2021Abstract The discrete fractional Fourier transform (DFrFT) is a powerful signal processing tool for non-stationary signals. Many types of DFrFT have been derived and successful used in different areas. However, for real-time applications that require recalculating the DFrFT at each or several samples, the existing discrete algorithms aren’t the ...
, Hongxia Miao
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Random Discrete Fractional Fourier Transform
IEEE Signal Processing Letters, 2009In this letter, a new commuting matrix with random discrete Fourier transform (DFT) eigenvectors is first constructed. A random discrete fractional Fourier transform (RDFRFT) kernel matrix with random DFT eigenvectors and eigenvalues is then proposed.
Wen-Liang Hsue, Soo-Chang Pei
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The multiple-parameter discrete fractional Fourier transform
IEEE Signal Processing Letters, 2006The discrete fractional Fourier transform (DFRFT) is a generalization of the discrete Fourier transform (DFT) with one additional order parameter. In this letter, we extend the DFRFT to have N order parameters, where N is the number of the input data points.
Wen-Liang Hsue, Soo-Chang Pei
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On the multiangle centered discrete fractional Fourier transform
IEEE Signal Processing Letters, 2005Existing versions of the discrete fractional Fourier transform (DFRFT) are based on the discrete Fourier transform (DFT). These approaches need a full basis of DFT eigenvectors that serve as discrete versions of Hermite-Gauss functions. In this letter, we define a DFRFT based on a centered version of the DFT (CDFRFT) using eigenvectors derived from the
Juan G. Vargas-Rubio, Balu Santhanam
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A method for the discrete fractional Fourier transform computation
IEEE Transactions on Signal Processing, 2003A new method for the discrete fractional Fourier transform (DFRFT) computation is given in this paper. With the help of this method, the DFRFT of any angle can be computed by a weighted summation of the DFRFTs with the special angles.
Soo-Chang Pei, Min-Hung Yeh
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Sparse Discrete Fractional Fourier Transform and Its Applications
IEEE Transactions on Signal Processing, 2014The discrete fractional Fourier transform is a powerful signal processing tool with broad applications for nonstationary signals. In this paper, we propose a sparse discrete fractional Fourier transform (SDFrFT) algorithm to reduce the computational complexity when dealing with large data sets that are sparsely represented in the fractional Fourier ...
Shengheng Liu, Yimin D Zhang, Ran Tao
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Discrete fractional Fourier transform based on orthogonal projections
IEEE Transactions on Signal Processing, 1999Summary: The continuous fractional Fourier transform (FRFT) performs a spectrum rotation of signal in the time-frequency plane, and it becomes an important tool for time-varying signal analysis. A discrete fractional Fourier transform has been recently developed by \textit{B. Santhanam} and \textit{J. H.
Chien-Cheng Tseng +2 more
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The discrete multiple-parameter fractional Fourier transform
Science China Information Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ran Tao, Jun Lang
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Implementation of quantum discrete fractional Fourier transform [PDF]
Quantum Information and Measurement (QIM) 2017, 2017 In this work we experimentally demonstrate the realization of the discrete fractional Fourier transforms (DFrFT) in both the classical and quantum realm. Our approach is fully integrated and free of bulk optical components.
Markus Gräfe +9 more
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