Truncation, amplitude, and jitter errors on RR for sampling series derivatives

In this paper, we investigate the error analysis of the derivative of the classical sampling theorem of bandlimited functions. We consider truncation, amplitude, and time-jitter errors. Both pointwise and uniform estimates are given. We derive analogues of the results of Piper (1975), Brown (1969), Jagerman (1966) and Li (1998) in a generalized manner. The amplitude and time-jitter errors are studied in the view of the works of Butzer (1983) and Butzer et al. (1988), provided that the bandlimited function satisfies some decay properties.