Abstract
In existing digital differetial analyzers, rectangular or trapezoidal integration is generally used as the integration method, in which ΔZ, the output of the integrator, is represented by only a single magnitude bit and a sign bit. It has been reported that if Adams or Runge-Kuttaintegration is used as DDA's integration method, and in addition if ΔZ is more accurately expressed by a register of over ten bits, the level of accuracy becomes much higher. But it seems that there are no reports of a simple and practical constitution of this highly accurate DDA.
In this paper a constitution method for a highly accurate DDA is given. Even when ΔZ is expressed by a regiser of over ten bits, ΔZ does not change by more than three pulses in each iteration of integration. From this fact, a DDA is designed in which the transmission of information between integrators is realized by the amount of change in ΔZ in order to save transmission time. We named this digital differential analyzer HADDA (High Accuracy DDA). It is shown that its calculation speed is as high as that of customary DDA's and moreover, that this constitution is not complicated.
Instead of an actual constitution of this HADDA, the calculation error of the HADDA is investigated by simulation using a digital computer. This shows that the HADDA is highly accurate.
