ON BAND-LIMITED SIGNALS WITH FRACTIONAL FOURIER-TRANSFORM

In this letter, we study bandlimited signals with fractional Fourier t ransform (FRFT), We show that if a nonzero signal f is bandlimited wit h FRFT F-alpha for a certain real alpha, then it is not bandlimited wi th FRFT F-beta for any beta with beta not equal +/-alpha + n pi for an y integer n. This is a generalization of the fact that a nonzero signa l can not be both timelimited and bandlimited, We also provide samplin g theorems for bandlimited signals with FRFT that are similar to the S hannon sampling theorem.