Application of weighted-type fractional Fourier transform in sampling and reconstruction
Qinyu Zhang · Journal of Communications · 2010
A new sampling and reconstruction scheme based on the weighted-type fractional Fourier transform (WFRFT) was proposed for a class of signals which were nonbandlimited in the frequency domain. Based on the representation of the signal in the WFRFT domain,conditions under which exact recovery of the signal is possible were derived. Theoretical analysis and simulation results show that the proposed scheme can perfectly recover signal below the sampling rate of Shannon reconstruction within the given error tolerance,and it can be implemented efficiently with the fast Fourier transform (FFT) algorithm.