Title: Sensitivity Evaluation of Measurement Uncertainty Contributions of Spectral Data for Calculated Integral Quantities
Authors: Krüger, Udo, TechnoTeam Bildverarbeitung GmbH, Ilmenau,
Ferrero, Alejandro, Instituto de Óptica, Consejo Superior de Investigaciones Científicas, Madrid, SPAIN
Thorseth, Anders, Technical University of Denmark, Roskilde, DENMARK
Pellegrino, Olivier, Instituto Português da Qualidade, Caparica, PORTUGAL
Dubard, Jimmy, Laboratoire National de métrologie et d’Essai (LNE), Paris, FRANCE

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Contributors: HostingInstitution: Physikalisch-Technische Bundesanstalt (PTB), ISNI: 0000 0001 2186 1887
Resource Type: Text / Conference Proceedings
Publisher: Physikalisch-Technische Bundesanstalt (PTB)
Relationships: IsIdenticalTo: DOI 10.25039/x50.2023.OP061
Dates: Available: 2024-02-23
File: Download File (application/pdf) 8.36 MB (8764724 Bytes)
MD5 Checksum: d81827bbd7e3ee11c6246952d896544d
SHA256 Checksum: 3ebcf1e9fed3ffdd178af451f2664747f075e33f71b10b22fda798f78f19e9ee
Keywords Photometry ; Colorimetry ; Measurement Uncertainty ; Monte Carlo Simulation ; Correlation
Abstract: Integrating spectral data (spectral responsivities of photometers or spectral distributions of light sources) to calculate quantities such as tristimulus values is straightforward at first sight. However, estimating the measurement uncertainty of these integrated quantities is challenging. When calculating integral photometric quantities, some uncertainty contributions from the spectral data transfer to the final results, some "cancel out", some "average out" and others increase or decrease their weight by correlation. The spectral quantities are usually assumed to be uncorrelated when deriving other quantities by integration, which is typically not justified. Using Monte Carlo simulations (MCS) and orthogonal functions, this paper shows that the neglection of partial spectral correlations may lead to a significant underestimation of the measurement uncertainty of these integral quantities, and how to use this information for better estimation.
Funding: European Commission (EC), ISNI: 0000 0001 2162 673X, Grant Title: Revision and extension of standards for test methods for LED lamps, luminaires and modules, Grant Number: EMPIR 19NRM02