Testing phase-shifting algorithms for uncertainty evaluation in interferometric gauge block calibration

Autor:	Marta Miranda, F. Rodriguez, Higinio González-Jorge, Benito V. Dorrío, J. Rodríguez, J. L. Valencia, F. J. Yebra, V. Alvarez-Valado
Rok vydání:	2009
Předmět:	Calibration (statistics) Gaussian Monte Carlo method General Engineering Standard deviation law.invention symbols.namesake Distribution (mathematics) law symbols Gauge block Algorithm Type I and type II errors Central limit theorem Mathematics
Zdroj:	Metrologia. 46:637-645
ISSN:	1681-7575 0026-1394
DOI:	10.1088/0026-1394/46/6/005
Popis:	This paper describes the uncertainty contribution of nine different phase-shifting algorithms (PSAs) to a gauge block calibration evaluated using a Monte Carlo method. The phase map and its standard deviation, codified in the output distribution obtained with each PSA, are used as input parameters in the exact fractions method for the final calculation of the gauge block length. Results obtained show the behaviour of each PSA versus different types of error sources. Uncertainty evaluation fits well to a Gaussian distribution for all algorithms tested with more than 104 trials and the central limit theorem is satisfied. As expected, the Symmetric 5 + 1 PSA shows the best behaviour with the lower uncertainty contribution and appears among PSAs used as the best algorithm for this technical application. As the selected PSAs are representative for the main PSA families, the protocol employed can be used for any other specifically tailored algorithm.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d7b53e50da03557309231c543d490480 https://doi.org/10.1088/0026-1394/46/6/005 Zobrazit plný text záznamu