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A Kalman filter for calibration,evaluation of unknown samples and quality control in drifting systems : Part 1. Theory and Simulations
Authors:PC Thijssen  SM Wolfrum  G Kateman  HC Smit
Institution:University of Nijmegen, Faculty of Sciences, Department of Analytical Chemistry, Toernooiveld, 6525 ED Nijmegen The Netherlands;University of Amsterdam, Laboratory for Analytical Chemistry, Amsterdam The Netherlands
Abstract:The suitability of a Kalman filter for processing slowly varying parameters of a linear calibration graph is described. After calibration, the recursive algorithm predicts the changing parameters in time, which are used for the evaluation of unknown samples. With a preselected precision of the final results as a proper analytical goal, one may decide successively either to do another unknown sample or to calibrate again. The application of the proposed algorithm is demonstrated with a simulated example based on realistic data.
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