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A sampling theorem on shift-invariant spaces associated with the fractional Fourier transform domain (1302.2315v1)
Published 10 Feb 2013 in math.FA, cs.IT, and math.IT
Abstract: As a generalization of the Fourier transform, the fractional Fourier transform was introduced and has been further investigated both in theory and in applications of signal processing. We obtain a sampling theorem on shift-invariant spaces associated with the fractional Fourier transform domain. The resulting sampling theorem extends not only the classical Whittaker-Shannon-Kotelnikov sampling theorem associated with the fractional Fourier transform domain, but also extends the prior sampling theorems on shift-invariant spaces.