B D Hall 2007 Metrologia 44 L62 doi:10.1088/0026-1394/44/6/N04
B D Hall
Show affiliationsSeveral issues are discussed that relate to the evaluation of measurement uncertainty for complex-valued quantities in radio frequency measurements. In situations where there is information about the magnitude of a complex quantity, but not phase, uniform distributions in the form of a disc or a ring may be appropriate representations for the uncertainty. Variance–covariance matrices for these distributions are given for use in bivariate uncertainty calculations. The situation in which an uncertainty statement is provided in polar coordinates is also discussed. Such uncertainty statements need to be transformed into the real–imaginary coordinate system for the preferred method of uncertainty calculation. A simple transformation procedure is described together with a method to assess its accuracy.
06.20.Dk Measurement and error theory
07.57.-c Infrared, submillimeter wave, microwave and radiowave instruments and equipment
Issue 6 (December 2007)
Received 10 July 2007
Published 7 November 2007
B D Hall 2007 Metrologia 44 L62
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