Computer simulation of multiple measurements of logarithmic transformation function by two approaches

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.218517

Keywords:

redundant methods, multiple measurements, measurement equation, function parameters, accuracy increase

Abstract

The studies of the capabilities of redundant measurement methods revealed the high efficiency of the presented methods in increasing the accuracy of multiple measurements. It was proved that redundant measurement equations ensure the independence of the measurement result from the parameters of the transformation function and their deviations from the nominal values. Experimental studies have confirmed that the accuracy of multiple measurements is increased by processing the results of intermediate measurements using equations of redundant measurements by two approaches. In particular, it was found that processing the results of multiple measurements with the logarithmic transformation function with the first approach provides the value of the relative error of 0.75×10 %, and the second – 0.02×10.

This suggests that the increase in accuracy is due to the total effect of the elimination of the systematic error component due to changes in the parameters of the transformation function and reduction of the random error component. The latter, in particular, concerns the algorithms for processing multiple measurements by two approaches. A comparative analysis was made, the advantages and disadvantages of each of the two approaches were determined. It was found that the second approach is less sensitive to an increase in the difference between the values of the controlled and normalized quantities. This allows us to state the possibility of measuring the controlled parameter of a large value without imposing high requirements on the power of the calibrated radiation source.

There is reason to assert about the promising development of redundant measurement methods in the processing of the results of multiple measurements in the field of increasing accuracy with the nonlinear transformation function

Author Biographies

Volodymyr Shcherban’, Kyiv National University of Technologies and Design Nemyrovycha-Danchenka str., 2, Kyiv, Ukraine, 01011

Doctor of Technical Sciences, Professor, Head of Department

Department of Computer Science and Technologies

Ganna Korogod, Kyiv National University of Technologies and Design Nemyrovycha-Danchenka str., 2, Kyiv, Ukraine, 01011

PhD, Associate Professor

Department of Computer Science and Technologies

Oksana Kolysko, Kyiv National University of Technologies and Design Nemyrovycha-Danchenka str., 2, Kyiv, Ukraine, 01011

PhD, Associate Professor

Department of Computer Science and Technologies

Mariana Kolysko, Kyiv National University of Technologies and Design Nemyrovycha-Danchenka str., 2, Kyiv, Ukraine, 01011

PhD, Associate Professor

Department of Computer Science and Technologies

Yury Shcherban’, State Higher Educational Establishment "Kyiv College of Light Industry" Dzhona Makkeina str., 29, Kyiv, Ukraine, 01601

Doctor of Technical Sciences, Professor, Head of Department

Department of Light Industry Technologies

Ganna Shchutska, State Higher Educational Establishment "Kyiv College of Light Industry" Dzhona Makkeina str., 29, Kyiv, Ukraine, 01601

Doctor of Technical Sciences, Associate Professor, Director

Department of Light Industry Technologies

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Published

2020-12-31

How to Cite

Shcherban’, V., Korogod, G., Kolysko, O., Kolysko, M., Shcherban’, Y., & Shchutska, G. (2020). Computer simulation of multiple measurements of logarithmic transformation function by two approaches. Eastern-European Journal of Enterprise Technologies, 6(4 (108), 6–13. https://doi.org/10.15587/1729-4061.2020.218517

Issue

Vol. 6 No. 4 (108) (2020): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2020 Volodymyr Shcherban, Ganna Korogod, Oksana Kolysko, Mariana Kolysko, Yury Shcherban’, Ganna Shchutska

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