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The discrete fractional Fourier transform based on the DFT matrix

Signal Processing, 2011
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Ahmet Serbes, Lutfiye Durak-Ata
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The hopping discrete fractional Fourier transform

Signal Processing, 2021
Abstract 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
exaly   +2 more sources

Random Discrete Fractional Fourier Transform

IEEE Signal Processing Letters, 2009
In 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.
Soo-Chang Pei, Wen-Liang Hsue
exaly   +2 more sources

The multiple-parameter discrete fractional Fourier transform

IEEE Signal Processing Letters, 2006
The 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.
Soo-Chang Pei, Wen-Liang Hsue
exaly   +2 more sources

On the multiangle centered discrete fractional Fourier transform

IEEE Signal Processing Letters, 2005
Existing 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
exaly   +2 more sources

A method for the discrete fractional Fourier transform computation

IEEE Transactions on Signal Processing, 2003
A 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.
Min-Hung Yeh, Soo-Chang Pei
exaly   +2 more sources

Sparse Discrete Fractional Fourier Transform and Its Applications

IEEE Transactions on Signal Processing, 2014
The 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, Tao Shan, Ran Tao
exaly   +2 more sources

Discrete fractional Fourier transform based on orthogonal projections

IEEE Transactions on Signal Processing, 1999
Summary: 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.
Soo-Chang Pei, Min-Hung Yeh, Chien-Cheng Tseng   +2 more
exaly   +3 more sources

The discrete multiple-parameter fractional Fourier transform

Science China Information Sciences, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Lang, Ran Tao, Tao Ran
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Discrete Pseudo-Fractional Fourier Transform and Its Fast Algorithm

Electronics (Switzerland), 2021
In this article, we introduce a new discrete fractional transform for data sequences whose size is a composite number. The main kernels of the introduced transform are small-size discrete fractional Fourier transforms. Since the introduced transformation
Dorota Majorkowska-Mech, Aleksandr Cariow, Cariow Aleksandr   +2 more
exaly   +2 more sources