Publication: Calculating measurement uncertainty for complex-valued quantities
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Calculating measurement uncertainty for complex-valued quantities

- Article in a journal -
 

Author(s)
B. D. Hall

Published in
Measurement Science and Technology

Year
2003

Abstract
A software technique is described that provides support for uncertainty calculations for complex-valued measurements. The technique is based on classical methods of multivariate statistics and propagation of variance as well as automatic differentiation, which is an established computational method. It facilitates propagation of covariance data by automating the calculation of sensitivity coefficients. The technique introduces a simple abstraction to represent measurement data and defines arithmetic operations and standard functions that manipulate this abstraction. The method is not difficult to implement and is easy to use. An example source code in C++ is included.

AD Theory and Techniques
Uncertainties

BibTeX
@ARTICLE{
         Hall2003Cmu,
       doi = "doi:10.1088/0957-0233/14/3/316",
       author = "B. D. Hall",
       title = "Calculating measurement uncertainty for complex-valued quantities",
       journal = "Measurement Science and Technology",
       volume = "14",
       number = "3",
       pages = "368--375",
       url = "http://stacks.iop.org/0957-0233/14/i=3/a=316",
       year = "2003",
       abstract = "A software technique is described that provides support for uncertainty
         calculations for complex-valued measurements. The technique is based on classical methods of
         multivariate statistics and propagation of variance as well as automatic differentiation, which is
         an established computational method. It facilitates propagation of covariance data by automating the
         calculation of sensitivity coefficients. The technique introduces a simple abstraction to represent
         measurement data and defines arithmetic operations and standard functions that manipulate this
         abstraction. The method is not difficult to implement and is easy to use. An example source code in
         C++ is included.",
       ad_theotech = "Uncertainties"
}


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