4.5 Article

Calculating measurement uncertainty for complex-valued quantities

Journal

MEASUREMENT SCIENCE AND TECHNOLOGY
Volume 14, Issue 3, Pages 368-375

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0957-0233/14/3/316

Keywords

software; uncertainty calculation; error propagation; automatic differentiation

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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.

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