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Proceedings Paper

Sampling theorem in fractional Fourier domains
Author(s): R. Torres; Pierre Pellat-Finet; Yezid M. Torres Moreno
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Paper Abstract

The standard Fourier transform operator F is a particular case of the fractional order Fourier transform operator Fα (it is obtained for α = 1). In the same way that has been done for F, a sampling theorem for Fα is proposed for signals whose fractional Fourier transforms of order α have finite supports. An interpolation formula for fractional bandlimited functions is also deduced.

Paper Details

Date Published: 21 October 2004
PDF: 5 pages
Proc. SPIE 5622, 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications, (21 October 2004); doi: 10.1117/12.591632
Show Author Affiliations
R. Torres, Univ. Industrial de Santander (Colombia)
Pierre Pellat-Finet, Univ. de Bretagne Sud (France)
Ecole Nationale Superieure des Telecommunications de Bretagne (France)
Yezid M. Torres Moreno, Univ. Industrial de Santander (Colombia)


Published in SPIE Proceedings Vol. 5622:
5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications
Aristides Marcano O.; Jose Luis Paz, Editor(s)

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