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Hirschman uncertainty with the discrete fractional fourier transform

2013 Asilomar Conference on Signals, Systems and Computers, 2013
The 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
openaire   +1 more source

The analysis of the discrete fractional Fourier transform algorithms

2009 Canadian Conference on Electrical and Computer Engineering, 2009
The 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
openaire   +1 more source

On the Grunbaum commuter based discrete fractional Fourier transform

2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004
The 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
openaire   +1 more source

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.
Yeh, Min-Hung, Pei, Soo-Chang
openaire   +1 more source

Discrete combined fractional Fourier transform and its application to image enhancement

Multimedia tools and applications, 2023
Shobha Sharma, Tarun Varma
semanticscholar   +1 more source

On the Fractional Fourier Transform for FMCW Radar Interference Mitigation

International Radar Conference
In 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
semanticscholar   +1 more source

Fractional Chern insulators in magic-angle twisted bilayer graphene

Nature, 2021
Yonglong Xie   +2 more
exaly  

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