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• W1978432871 abstract "We introduce a new discrete fractional Fourier transform (DFrFT) based on only the DFT matrix and its powers. Eigenvectors of the DFT matrix are obtained in a simple-yet-elegant and straightforward manner. We show that this DFrFT definition based on the eigentransforms of the DFT matrix mimics the properties of continuous fractional Fourier transform (FrFT) by approximating the samples of the continuous FrFT. By appropriately combining existing commuting matrices we obtain a new commuting matrix which performs better. We show the validity of the proposed algorithms by computer simulations comparing DFrFT points and continuous FrFT samples for various signals." @default.
• W1978432871 created "2016-06-24" @default.
• W1978432871 creator A5041471692 @default.
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• W1978432871 date "2011-03-01" @default.
• W1978432871 modified "2023-10-18" @default.
• W1978432871 title "The discrete fractional Fourier transform based on the DFT matrix" @default.
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• W1978432871 doi "https://doi.org/10.1016/j.sigpro.2010.05.007" @default.
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