Monte Carlo-based estimation of uncertainty owing to limited resolution of digital instruments

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Journal Article
Metrologia, 2005, 42 (5)
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We have used a Monte Carlo simulation for investigating the output of a digital instrument, of resolution half-width a, when its analogue input is a Gaussian signal. The digitizing process converts an actual mean to an observed mean and an actual variance to an observed variance. The resulting relationships are plotted as two sets of graphs, in one of which the observed mean is the parameter, while in the other the observed variance is the parameter. Given an observed mean and an observed variance, it is then easy to infer from the graphs the corresponding actual mean and actual variance. The graphs illustrate, for example, that unless the observed variance is very low, the actual variance can be recovered from the observed variance by subtracting a2/3 from the observed variance. © 2005 BIPM and IOP Publishing Ltd.
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