Title :
The interpolation formulae for the Fractional Fourier Transform
Author :
Zhang, Jun-Fang ; Hei, Hong-Wu ; Wang, Zhun
Author_Institution :
Dept. of Basic Sci., Beijing Univ. of Agric., Beijing, China
Abstract :
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.
Keywords :
Fourier transforms; Hilbert transforms; interpolation; signal reconstruction; signal representation; signal sampling; FRFT; Nyquist rate; fractional Fourier transform; generalized Hilbert transform; interpolation formulae; signal representation; signals reconstruction; Equations; Fourier transforms; Optics; Radio access networks; Signal processing; TV; FRFT; Nyquist rate; Sampling Theory; the Generalized Hilbert Transform(GHT);
Conference_Titel :
Signal Processing (ICSP), 2010 IEEE 10th International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-5897-4
DOI :
10.1109/ICOSP.2010.5656839
