Sampling theorem in fractional Fourier domains

R. Torres; Pierre Pellat-Finet; Yezid M. Torres Moreno

doi:10.1117/12.591632

21 October 2004 Sampling theorem in fractional Fourier domains

R. Torres, Pierre Pellat-Finet, Yezid M. Torres Moreno

Proceedings Volume 5622, 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications; (2004) https://doi.org/10.1117/12.591632
Event: 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications, 2004, Porlamar, Venezuela

Abstract

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

Citation Download Citation

R. Torres, Pierre Pellat-Finet, and Yezid M. Torres Moreno "Sampling theorem in fractional Fourier domains", Proc. SPIE 5622, 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications, (21 October 2004); https://doi.org/10.1117/12.591632

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