Modulated wideband convertor for α-bandlimited signals in fractional fourier domain

Abstract

The classical bandlimited sampling theorem has been extended to fractional Fourier bandlimited signals with the fractional Fourier transform (FrFT). However, the implementation of those existing extensions are inefficient because of the high sampling rate which is related to the signal fractional Fourier rate, and the situation is same with the Fourier domain. This paper introduces a practical multichannel compressed sampling method for the α-order multi bandlimited signal in the FrFT domain. The theory which combines Modulated Wideband Converter with the fractional Fourier sampling method can reduce the sampling rate for the α-bandlimited signals. First we multiply the analog signal by a bank of periodic waveform, and the product is sampled by the fractional domain method, the sampling rate is much lower than the Nyquist rate. We can easily get the signal information with the orthogonal matching pursuit algorithm. The simulation verifies the sampling proposal.