AN ALGORITHM FOR SPECTROMETRIC DATA CORRECTION WITH BUILT-IN ESTIMATION OF UNCERTAINTY

T. Szafranski, P. Sprzeczak, R.Z. Morawski

Abstract

Practical usefulness of the result of spectrometric data correction depends considerably on how precise its uncertainty is assessed. If the algorithm used for correction is linear with respect to the data and all intermediate results of computation, and if it does not use the data or intermediate results of computation more than once, then the linear propagation of uncertainties represented by intervals, executed step by step for each operation, yields a satisfactory estimate of the measurement uncertainty. Otherwise, a tendency to overestimate the uncertainty appears. An effective interval-based method for dealing with this problem in weakly non-linear algorithms has been recently proposed by the authors. In this paper, it is implemented in a new algorithm for spectrometric data correction. Computational efficiency of this algorithm is demonstrated using synthetic spectrometric data.

Keywords

spectrometry, spectrometric data correction, measurement uncertainty, uncertainty evaluation

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IMEKO-WC-2000-UNC-P521.pdf

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