Hirschman uncertainty with the discrete fractional fourier transform
2013 Asilomar Conference on Signals, Systems and Computers, 2013The Hirschman Uncertainty [1] is defined by the average of the Shannon entropies of a discrete-time signal and its Fourier transform. The optimal basis for the Hirschman Uncertainty has been shown to be the picket fence function, as given in a previous paper of ours [2].
Kirandeep Ghuman, Victor DeBrunner
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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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Local discrete fractional fourier transform: An algorithm for calculating partial points of DFrFT
Signal Processing, 2023Hongxia Miao
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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 combined fractional Fourier transform and its application to image enhancement
Multimedia tools and applications, 2023Shobha Sharma, Tarun Varma
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On the Fractional Fourier Transform for FMCW Radar Interference Mitigation
International Radar ConferenceIn this paper, we extend our method [1] for FMCW radar mutual interference mitigation (IM) based on the discrete fractional Fourier transform (DFrFT).
Christian Oswald +2 more
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Image encryption using discrete orthogonal Stockwell transform with fractional Fourier transform
Multimedia tools and applications, 2022R. Ranjan, Abhishek Thakur
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Fractional Chern insulators in magic-angle twisted bilayer graphene
Nature, 2021Yonglong Xie +2 more
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Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Nature, 2023, Eric Anderson, Chong Wang
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