Quantizing and sampling errors in hybrid computation

Abstract

Quantizing and sampling errors have been examined by a number of authors. For example, the errors have been extensively studied in the communication and servomechanisms fields of electrical engineering. Studies of these errors have also been made by numerical analysts, primarily from the standpoint of round-off error and error propagation. None of these efforts, however, has been specifically directed to the analysis of the total errors generated in a hybrid computation loop. In each field, different methods have been used and different portions of the problem studied.