V Alvarez-Valado et al 2009 Metrologia 46 637 doi:10.1088/0026-1394/46/6/005
V Alvarez-Valado1, H González-Jorge1, B V Dorrío2, M Miranda2, F Rodríguez1, J L Valencia1, F J Yebra1 and J Rodriguez1
Show affiliationsThis 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.
Issue 6 (December 2009)
Received 19 June 2009
Published 7 October 2009
V Alvarez-Valado et al 2009 Metrologia 46 637
J Boehm et al 1986 J. Phys. D: Appl. Phys. 19 L97
R Sato 1996 J. Phys.: Condens. Matter 8 8363
M Geddes 1984 Phys. Educ. 19 268
Pran Nath and Raza M. Syed JHEP02(2006)022
M. Brambilla and A. Cardinali 1992 Nucl. Fusion 32 465
Paulo Crespo et al 2006 Phys. Med. Biol. 51 2143
Cristiano Germani and Alex Kehagias JCAP11(2009)005
Jesenko Vukadinovic 2004 Nonlinearity 17 953
C W Gardiner et al 2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555