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Numerical calculation of fractional Fourier transforms with a single fast-Fourier-transform algorithm

1998; Optica Publishing Group; Volume: 15; Issue: 8 Linguagem: Inglês

10.1364/josaa.15.002111

1520-8532

Francisco J. Marinho, Luı́s M. Bernardo,

Digital Filter Design and Implementation

A numerical algorithm based on a single fast Fourier transform is proposed. Its precision and calculation efficiency show better performance than those of previously published algorithms. It is also shown that if specific conditions are met, the numerical calculations of two successive fractional Fourier transforms produce results that are similar to the analytical solution.