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The analysis of the discrete fractional Fourier transform algorithms
2009 Canadian Conference on Electrical and Computer Engineering, 2009The discrete formal FRFT is difficult to obtained by the directly sampling the continuous FRFT because the kernel function of the continuous fractional Fourier transform (FRFT) exhibits drastic oscillation and the oscillation amplitude has the distinct difference from the different order of the FRFT.
null Qi-Wen Ran +3 more
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On the Grunbaum commuter based discrete fractional Fourier transform
2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004The basis functions of the continuous fractional Fourier transform (FRFT) are linear chirp signals that are suitable for time-frequency analysis of signals with chirping time-frequency content. Efforts to develop a discrete computable version of the fractional Fourier transform (DFRFT) have focussed on furnishing an orthogonal set of eigenvectors for ...
B. Santhanam, J.G. Vargas-Rubio
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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.
Yeh, Min-Hung, Pei, Soo-Chang
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Discrete Fourier Transforms of Fractional Processes [PDF]
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 ...
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Photonic Fractional Fourier Transformation Based on Discrete-Frequency Processing
Journal of Lightwave Technology, 2022Xiangzhi Xie +5 more
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