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Session Topic: 3B, Microwave Session

   

Paper Title: ADAPTING THE ISO GUM FOR A PRACTICAL APPROACH TO UNCERTAINTY CALCULATION OF COMPLEX NUMBERS

   

Date & Time: TUESDAY, August 6, 2002

 

8:30 - 10:00am - PARALLEL SESSIONS - SESSION 3

   

Speaker: Makoto Kasuga Agilent Technologies Japan, Ltd.

Email: Makoto_Kasuga@agilent.com

   

The ISO Guide to the Expression of Uncertainty in Measurement (GUM) was published in 1993. This document describes how to express measurement uncertainty, and offers some examples for actual uncertainty calculations. However, there is no example of uncertainty propagation for complex numbers such as electrical impedance. Our Agilent Technologies Japan Measurement Standards Center presented the theory of impedance calibration at Conference on Precision Electromagnetic Measurements (CPEM) 1992 and the paper was later published by IEEE Instrumentation & Measurement (I&M) in 1993. Since 1992, our standards center has been calibrating four-terminal-pair (4TP) AC resistance standards at high frequencies up to 13 MHz, based on the 4TP capacitance standard. The uncertainty was calculated by computer simulation method. The authors have now re-calculated the uncertainty in 2001, using sensitivity coefficients in accordance with the ISO GUM. This calculation uses a novel new approach to sensitivity coefficients of complex numbers, so as to apply the ISO GUM instead of the former simulation method. The paper concludes with a presentation of an example of uncertainty calculation for complex numbers, such as electrical impedance.

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