The purpose of this paper is to establish a guide for the employment of a digital differential analyzer (DDA) as a control element. An analysis of the performance limitations imposed by a fixed point scaling procedure is presented in terms of bandwidth and a canonical realization for transfer functions. Roughly, the results are that for a DDA ofQiterations/s and for a resolution of one part in q-1: 1) the bandwidth isqQrad/s 2) the poles ofH(s)must lie in a circle of radiusqQabouts = 03) the significant poles ofD(z)must lie in a circle of radiusqaboutz = 1.
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Leake et al. (1969) studied this question.