Abstract
The present work proposes a robust method of analyzing sets of data series shifted in time in respect to each other utilizing the process of dynamic calibration by comparison. Usually the Pearson’s correlation analysis coefficient is applied for this purpose. However, in some cases the method does not bring satisfactory results, as it can be seen in the results of the research conducted for the purpose of this paper. The Dynamic Time Warping method may be the solution to this problem, as it appears to be more efficient while comparing the shapes of calibration characteristics done with the use of the Pearson’s method. The presented method may also be applied to eliminate dynamic outliers collected in the process of recurrence examination or the analysis of strain gauge weight sensors hysteresis. This fact also makes the method a good tool for eliminating improper data series which might appear in the calibration process due to, e.g., malfunctioning devices installed in the calibration stand. The article presents an example of using the proposed method in eliminating improper dynamic characteristics obtained in a simulated calibration stand. Moreover, a comparative analysis performed on the simulation data is also presented in the article, as well as the result of the laboratory experiment.
Highlights
Constructing an electronic measurement device, equipped with signal conditioners, usually finishes with the calibration process
This deflection was applied for characteristics No 3 and No 8, AsCoefficient the last experiment, theCalibration-by-Comparison characteristics obtained during tests made for a weighing transducer
The Calibration-by-Comparison Dynamic Time Warping algorithm, presented in this paper, is an effective tool for comparing dynamic data series recorded during sensors calibration
Summary
Constructing an electronic measurement device, equipped with signal conditioners, usually finishes with the calibration process. This is related to the fact that the end-user would like to conduct measurements with a device of a known accuracy, calibrated in a particular measurement unit and fulfilling the requirements of the standards determining parameters for devices, valued in the areas where they are exploited. The relevant provisions regulating the methods of calibrating weighing devices, which will be discussed further, are included in recommendations of the following organizations: EURAMET—The European Association of National Metrology Institutes Calibration. It must be mentioned that, the process of calibrating weighing devices is mainly based on research conducted as a static process by placing appropriate loads on force transducers [2,3,5,6]
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