Fractional-Fourier-transform calculation through the fast-Fourier-transform algorithm

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Dept. Interuniversitari d'Optica, Universitat de València, Calle Dr. Moliner 50, 46100 Burjassot, Spain [1 ]
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Appl. Opt. | / 35卷 / 7013-7018期
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A method for the calculation of the fractional Fourier transform (FRT) by means of the fast Fourier transform (FFT) algorithm is presented. The process involves mainly two FFT's in cascade; thus the process has the same complexity as this algorithm. The method is valid for fractional orders varying from -1 to 1. Scaling factors for the FRT and Fresnel diffraction when calculated through the FFT are discussed. © 1996 Optical Society of America.
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