Sampled signal analysis in the fractional Fourier transform domain

摘要

Signal sampling is an important part of digital signal processing system. In the conventional sampling processing, the sampled signal is always analyzed in the Fourier transform (FT) domain. In this paper, we apply the fractional Fourier transform (FRFT) analysis into sampling processing. This study presents a quantitative signal-to-noise ratio (SNR) analysis of sampled data in the FRFT domain and introduces a new sampling method under sub-Nyquist rate based on FRFT. In contrast to the FT-based analysis method, we can achieve greater SNR and reduce the sampling rate of an Analog to Digital converter (ADC) in the FRFT domain.