REDUCING INTERVAL ARITHMETIC IN DYNAMIC ERROR EVALUATION

J. Jakubiec, K. Konopka

Abstract

Reducing interval arithmetic enables to describe properties of error sources in the matrix form. It is especially significant when algorithms process long measuring result sequences. Changes in time of measured quantity cause dynamic errors in the analog elements of measuring chain. When signal is nonsinusoidal the dynamic error can be presented as a set of harmonics. Those harmonics should be composed in order to get the resultant error. The method described in the paper enables to represent a set of harmonics as a set of intervals. The interdependence of those intervals is determined by the harmonics phase shifts. The method enables to calculate the amplitude of the harmonics sum in an approximate but simple way. The dynamic error amplitude calculated in the way described above is interpreted as a partial dynamic uncertainty of the measuring results. It can be composed with another kinds of partial uncertainties by using reducing arithmetic that enable to determine the final processing uncertainty.

Keywords

reducing interval arithmetic, amplitude of nonsinusoidal dynamic error, dynamic uncertainty

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IMEKO-WC-2000-EWADC-P628.pdf

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