The fractional Fourier transform (FRT) is an extension of the ordinary Fourier transform (FT). Applying the language of the unified FT, we develop FRT expressions for discrete and continuous signals, introducing a particular form of periodicity: chirp-periodicity. The FRT sampling theorem is derived as an extension of its ordinary counterpart.

Unified fractional Fourier transform and sampling theorem

ERSEGHE, TOMASO;CARIOLARO, GIANFRANCO
1999

Abstract

The fractional Fourier transform (FRT) is an extension of the ordinary Fourier transform (FT). Applying the language of the unified FT, we develop FRT expressions for discrete and continuous signals, introducing a particular form of periodicity: chirp-periodicity. The FRT sampling theorem is derived as an extension of its ordinary counterpart.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11577/2459512
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