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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 22, Iss. 14 — Jul. 15, 1997
  • pp: 1047–1049

Improved discrete fractional Fourier transform

Soo-Chang Pei and Min-Hung Yeh  »View Author Affiliations


Optics Letters, Vol. 22, Issue 14, pp. 1047-1049 (1997)
http://dx.doi.org/10.1364/OL.22.001047


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Abstract

The fractional Fourier transform is a useful mathematical operation that generalizes the well-known continuous Fourier transform. Several discrete fractional Fourier transforms (DFRFT’s) have been developed, but their results do not match those of the continuous case. We propose a new DFRFT. This improved DFRFT provides transforms similar to those of the continuous fractional Fourier transform and also retains the rotation properties.

© 1997 Optical Society of America

Citation
Soo-Chang Pei and Min-Hung Yeh, "Improved discrete fractional Fourier transform," Opt. Lett. 22, 1047-1049 (1997)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-22-14-1047

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