Index

The Alabama A & M University Department of Physics Optics and Information Processing

Fractional Discrete Fourier Transforms

Z.-T. Deng, Marius Schamschula, and H. John Caulfield

Opt. Lett. 21, 1430-1432 (1996)

Abstract

Direct calculation of fractional Fourier transforms from the expressions derived for their optical implementation is laborious. An extention of the discrete Fourier transform would have only (N²) computational complexity. We define such a system, offer a general way to compute the fractional Fourier transform matrix, and numerically validate the algorithm.