A multichannel compressed sampling method for fractional bandlimited signals

This paper presents a multichannel compressed sampling scheme based on the modulated wideband converter and the fractional Fourier transform. The system consists of modulators, analog filters, and analog-to-digital converters. The analog signal is multiplied by a chirp signal and a bank of periodic waveforms. After filtering, the product is uniformly sampled at a rate that is considerably lower than the Nyquist rate. The proposed method which is valid for fractional multiband signals is proven based on the fractional Fourier series. The robustness, recovery accuracy and influence of the fractional order are analyzed by the empirical probability of the successful recovery and the mean squared error.