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TitleOn the expression of measurement uncertainty for complex quantities with unknown phase
Publication TypeJournal Article
Year of Publication2011
AuthorsHall, B.D.
Pagination324 - 332
Date Published2011
ISSN00261394 (ISSN)
KeywordsImpedance measurement, Measurement conditions, Measurement uncertainty, Simple expression, Uncertainty analysis, Uncertainty calculations, Upper Bound
AbstractSimple expressions are obtained for the measurement uncertainty of complex quantities when no information about phase is available. Three different cases are considered: a known magnitude, an upper bound on the magnitude and an estimate of the magnitude with an associated uncertainty. An expression is also given for the uncertainty of a product when there is no information about the phase of the factors. These results are applied to simple examples of power, attenuation and impedance measurements. The performance of uncertainty calculations is checked by observing the coverage of uncertainty statements achieved under simulated measurement conditions. © 2011 BIPM & IOP Publishing Ltd.

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