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TitleSome considerations related to the evaluation of measurement uncertainty for complex-valued quantities in radio frequency measurements
Publication TypeJournal Article
Year of Publication2007
AuthorsHall, B.D.
JournalMetrologia
Volume44
Issue6
PaginationL62 - L67
Date Published2007
ISSN00261394 (ISSN)
KeywordsCovariance matrix, Measurement theory, Polar coordinates, Radio frequency measurements, Uncertainty analysis
AbstractSeveral 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. © 2007 BIPM and IOP Publishing Ltd.
URLhttp://www.scopus.com/inward/record.url?eid=2-s2.0-36749039356&partnerID=40&md5=a1844c97fb6352f9a408628574b3537f
DOI10.1088/0026-1394/44/6/N04

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