Deterministic Sampling for Uncertainty Quantification in Complex Algorithm-Based Measurements

Leopoldo Angrisani, Felice Cennamo, Annalisa Liccardo, Michele Vadursi, Rosario Schiano Lo Moriello
Abstract:
The paper deals with the problem of estimating measured values in indirect measurements based on complex processing algorithm. To this aim, deterministic sampling of the random variables (modeling the input quantities) is suggested to efficiently estimate expectation and standard uncertainty of algorithm outputs. In particular, the authors propose an enhanced version of the traditional unscented transform to propagate a defined set of statistical moments of the input quantities through the algorithms (even in the presence of non-analytical formulation). This way, it is possible to assure estimates of output expectation and standard uncertainty as good as those achieved by means of the very large ensemble of random variates typically exploited in brute force Monte Carlo method.
Keywords:
Uncertainty quantification, Deterministic sampling, Algorithm-based measurements, Monte Carlo simulations, Unscented transform
Download:
IMEKO-TC4-2014-338.pdf
DOI:
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Event details
IMEKO TC:
TC4
Event name:
TC4 Symposium 2014
Title:

20th IMEKO TC4 Symposium on Measurements of Electrical Quantities (together with 18th TC4 International Workshop on ADC and DCA Modeling and Testing, IWADC)
"Research on Electrical and Electronic Measurement for the Economic Upturn"

Place:
Benevento, ITALY
Time:
15 September 2014 - 17 September 2014