Dynamic Accuracy as a Design Criterion of Linear Electronic-Analog Differential Analyzers

A frequency error analysis of computing elements is presented which leads to a definition of their dynamic accuracy. The concept of a computing transfer function is introduced for this purpose, permitting the evaluation of an effective bandwidth, the latter being connected with the variance of the output for wideband inputs. Limited bandwidth is considered as equivalent to finite resolution and thus to an additional effective error. Single frequency errors are dealt with separately and are shown to be of minor importance. Suitable optimalization of dynamic accuracy yields parameters of design and performance such as optimum computing time and required base amplifier gain. The theory is applied to integrators and adders with base amplifiers of direct and of capacitive coupling.