Analysis of Actual Sampled Data 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 assumption of ideal uniform impulse train sampling. However, this assumption is not valid for engineering application. This paper analyzes the actual sample-and-hold system in the FRFT domain, and then constructs a new sample-and-hold system in the FRFT domain to recovery the original input signal. The result obtained in this paper realizes the application of the sampling theorem for the FRFT domain in engineering.