Title :
Unified fractional Fourier transform and sampling theorem
Author :
Erseghe, Tomaso ; Kraniauskas, Peter ; Carioraro, G.
Author_Institution :
Snell & Wilcox, Petersfield, UK
fDate :
12/1/1999 12:00:00 AM
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
Keywords :
Fourier transforms; discrete Fourier transforms; signal sampling; chirp-periodicity; continuous signals; discrete signals; fractional Fourier transform; periodicity; sampling theorem; Amplitude modulation; Chirp modulation; Digital signal processing; Discrete Fourier transforms; Fourier transforms; Kernel; Optical fibers; Optical signal processing; Sampling methods; Signal sampling;
Journal_Title :
Signal Processing, IEEE Transactions on
