THE EFFECT OF INCREMENT REPRESENTATION ON THE ACCURACY OF THE DIGITAL DIFFERENTIAL ANALYZER.
MASSACHUSETTS INST OF TECH CAMBRIDGE INSTRUMENTATION LAB
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In the design of complex servomechanism control systems, the need for more and more accurate components arises. At present, the most important hybrid device is the Digital Differential Analyzer DDA, for it can be made to fit stringent system requirements where analog systems are impractical, at a reasonable cost, and at a premium in size requirements. The report describes the advantages both pro and con of the DDA. It contains a numerical analysis of the present DDA techniques and a new DDA technique, the Trinary DDA. A full description on the characterization of the DDA errors and how they propagate in the solutions of differential equations are presented. Also, the logical design of the different DDA integrators are included to offer a comparison in the cost per integrator. The techniques described for the error analysis of the DDA are verified by the results of the simulation of the DDA solution of certain illustrative examples on the IBM 704. Author