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Mathematical Modelling and Data Analysis

Department 8.4

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Title: Dynamic uncertainty for compensated second-order systems
Author(s): S. Eichstädt, A. Link and C. Elster
Journal: Sensors
Year: 2010
Volume: 10
Issue: 8
Pages: 7621-31
Molecular Diversity Preservation International
DOI: 10.3390/s100807621
Web URL: http://www.mdpi.com/1424-8220/10/8/7621/htm
Keywords: dynamic model, digital filter, deconvolution, dynamic measurement
Tags: 8.42, Dynamik
Abstract: The compensation of LTI systems and the evaluation of the according uncertainty is of growing interest in metrology. Uncertainty evaluation in metrology ought to follow specific guidelines, and recently two corresponding uncertainty evaluation schemes have been proposed for FIR and IIR filtering. We employ these schemes to compare an FIR and an IIR approach for compensating a second-order LTI system which has relevance in metrology. Our results suggest that the FIR approach is superior in the sense that it yields significantly smaller uncertainties when real-time evaluation of uncertainties is desired.

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