Unified fractional Fourier transform and sampling theorem

Authors:
T. Erseghe;P. Kraniauskas;G. Carioraro
Affiliations:
Snell & Wilcox, Petersfield;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
1999

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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