Analysis and improvement of actual sampling system in fractional Fourier transform domain

Sampling and reconstruction is a basic issue in signal processing. The known sampling theory in the FRactional Fourier Transform (FRFT) domain is based on the analysis of ideal sampling system. The actual Analog-to-Digital conversion is implemented through sample-and-hold circuits. This paper analyzes the actual sample-and-hold system in the FRFT domain, and then makes a feasible sample and reconstruction model. This model can be realized by adding two multipliers to the traditional sample-and-hold system. The result obtained in this paper makes the sampling theorem for the FRFT domain more perfect, and provides the theoretical foundation for practical implementation of sampling theorem in the FRFT domain.