Fractional Fourier transform of bandlimited periodic signals and its sampling theorems

In this correspondence, some features of the fractional Fourier transform (FRFT) of the bandlimited periodic signals are discussed. Two sampling relations in the context of FRFT domain bandlimited, periodic signals are also presented. More specifically, it is shown that only 2K + 1 coefficients are sufficient to reconstruct any FRFT domain bandlimited periodic signal, where K is the order of the highest nonzero harmonic component in the particular FRFT domain in which the signal is bandlimited. (c) 2005 Elsevier B.V. All rights reserved.