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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 21, Iss. 18 — Sep. 15, 1996
  • pp: 1430–1432

Fractional discrete Fourier transforms

Zheng-Tao Deng, H. John Caulfield, and Marius Schamschula  »View Author Affiliations


Optics Letters, Vol. 21, Issue 18, pp. 1430-1432 (1996)
http://dx.doi.org/10.1364/OL.21.001430


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Abstract

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

© 1996 Optical Society of America

History
Original Manuscript: May 10, 1996
Published: September 15, 1996

Citation
Zheng-Tao Deng, H. John Caulfield, and Marius Schamschula, "Fractional discrete Fourier transforms," Opt. Lett. 21, 1430-1432 (1996)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-21-18-1430


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