Papoulis-like generalized sampling expansions in fractional Fourier domains and their application to superresolution

摘要

We present a generalized convolution theorem in the fractional Fourier domains that preserves the convolution theorem of the conventionalFourier transform. The Papoulis-like generalized sampling expansions in the fractional Fourier domains using this generalized convolution theorem are also derived and it is shown that the classical generalized Papoulis sampling expansion is a special case of it. Its application in the context of the image superresolution is also discussed.