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Proceedings Paper • Open Access

Introducing uncertainty of complex-valued quantities in measurement science education

Paper Abstract

Uncertainty evaluation plays a key role in assessing and comparing measurement results, e.g. towards the design of experiments and the design of measurement systems. Nevertheless, it is frequently neglected by engineers particularly in early design phases, which may cause problems during the design process or even lead to system failures. In prior work, the use of software tools for uncertainty calculation in measurement science education has been suggested in order to raise awareness and increase the use of such tools to obtain GUM conform uncertainty estimates. However, we found that uncertainty of complex-valued quantities represents a major challenge in this context. Therefore, we present a proposal to extend the teaching concept towards such quantities, based directly on the utilization of an "Uncertainty Toolbox" for MATLAB maintained by our research group. The approach evaluates the uncertainty in complex parameters considering the real and imaginary components separately, with potential correlations between them arising from shared input quantities. As teaching example we study the Maxwell-Wien Bridge, as it is commonly taught in measurement science courses and brings in aspects such as above mention correlations and different representations of the measurement result (magnitude/phase, real/complex part of impedance). Based on this example, advantages and disadvantages of the presented teaching philosophy are discussed, emphasizing how problems arising from uncertainty may be identified in early design phases also considering complex-valued quantities.

Paper Details

Date Published: 17 September 2019
PDF: 7 pages
Proc. SPIE 11144, Photonics and Education in Measurement Science 2019, 1114410 (17 September 2019); doi: 10.1117/12.2531840
Show Author Affiliations
Dailys Arronde Pérez, Univ. Klagenfurt (Austria)
Hubert Zangl, Univ. Klagenfurt (Austria)

Published in SPIE Proceedings Vol. 11144:
Photonics and Education in Measurement Science 2019
Maik Rosenberger; Paul-Gerald Dittrich; Bernhard Zagar, Editor(s)

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