Calculating measurement uncertainty using automatic differentiation

Blair D. Hall

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Scientific Measurement and Uncertainty Evaluation Statistical and numerical algorithms Numerical Methods and Algorithms

Abstract

A computational technique is described that can perform the simultaneous evaluation of a measurement function and the associated combined standard uncertainty. The uncertainty equation is automatically derived from the measurement function and need not be provided separately. The technique is based on automatic differentiation. It is simple, efficient, accurate and easy to implement in software.

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1993Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results, | NIST

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2017Software tools for uncertainty evaluation in VNA measurements: A comparative study 2009A computational system for uncertainty propagation of measurement results 2005Propagating Uncertainty in Instrumentation Systems

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