Type-A Worst-Case Uncertainty for Gaussian noise instruments

An analytical type-A approach is proposed for predicting the Worst-Case Uncertainty of a measurement system. In a set of independent observations of the same measurand, modelled as independentand identically-distributed random variables, the upcoming extreme values (e.g. peaks) can be forecast by only characterizing the measurement system noise level, assumed to be white and Gaussian. Simulation and experimental results are presented to validate the model for a case study on the worst-case repeatability of a pulsed power supply for the klystron modulators of the Compact LInear Collider at CERN. The experimental validation highlights satisfying results for an acquisition system repeatable in the order of _25 ppm over a bandwidth of 5 MHz. Presented at: Journal of Instrumentation, July 2015 Geneva, Switzerland October 2015 2 0 1 5 J I N S T 1 0 P 0 7 0 0 7 PUBLISHED BY IOP PUBLISHING FOR SISSA MEDIALAB RECEIVED: January 31, 2015 REVISED: May 7, 2015 ACCEPTED: June 10, 2015 PUBLISHED: July 13, 2015 Type-A Worst-Case Uncertainty for Gaussian noise instruments P. Arpaia,a,b,1 C. Baccigalupib,c and M. Martinob aElectrical Engineering and Information Technology Department, University of Naples Federico II, 80125 Naples, Italy bTechnology Department, CERN, Geneva, 23 Switzerland cPhysics Department, University of Calabria, 87036 Rende (CS), Italy E-mail: [email protected] ABSTRACT: An analytical type-A approach is proposed for predicting the Worst-Case Uncertainty of a measurement system. In a set of independent observations of the same measurand, modelled as independentand identically-distributed random variables, the upcoming extreme values (e.g. peaks) can be forecast by only characterizing the measurement system noise level, assumed to be white and Gaussian. Simulation and experimental results are presented to validate the model for a case study on the worst-case repeatability of a pulsed power supply for the klystron modulators of the Compact LInear Collider at CERN. The experimental validation highlights satisfying results for an acquisition system repeatable in the order of ±25 ppm over a bandwidth of 5 MHz. An analytical type-A approach is proposed for predicting the Worst-Case Uncertainty of a measurement system. In a set of independent observations of the same measurand, modelled as independentand identically-distributed random variables, the upcoming extreme values (e.g. peaks) can be forecast by only characterizing the measurement system noise level, assumed to be white and Gaussian. Simulation and experimental results are presented to validate the model for a case study on the worst-case repeatability of a pulsed power supply for the klystron modulators of the Compact LInear Collider at CERN. The experimental validation highlights satisfying results for an acquisition system repeatable in the order of ±25 ppm over a bandwidth of 5 MHz.