UNCERTAINTY EVALUATION OF DYNAMIC MEASUREMENTS IN LINE WITH THE GUM

Clemens Elster, Sascha Eichstädt, Alfred Link

Abstract

We consider the task of uncertainty evaluation in the context of dynamic measurements. We assume that the relation between the time-dependent value of the measurand and the available output signal of an employed sensor is governed by a linear time-invariant system. Estimation of the measurand is done by applying a digital filter to the sensor's output signal. We propose a method for uncertainty evaluation which is in line with the Guide to the Expression of Uncertainty in Measurement (GUM). The method accounts for dynamic errors due to non-perfect compensation of the dynamic behavior of the sensor, and it allows for real-time calculation when a causal digital filter is employed. The proposed uncertainty calculation method can be used to design an uncertainty-optimum filter. We illustrate the procedures in terms of a simple example.

Keywords

uncertainty, LTI System, digital filter

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IMEKO-WC-2009-TC21-057.pdf

DOI

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IMEKO TC

TC21 - Mathematical Tools for Measurements

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