The interpolation formulae for the Fractional Fourier Transform

In this paper we get new sampling formulae for reconstructing signals that are band limited in the Fractional Fourier Transform (FRFT) sense. We first give the signal representation using samples that taken at half the Nyquist rate from the signal and the first derivative of signal. Then we give another representation of signal using samples that taken at half the Nyquist rate from the signal itself and the generalized Hilbert transform of the signal.