TY - JOUR
AU - Levin, V. I.
PY - 2019/10/01
Y2 - 2022/08/13
TI - INTERVAL APPROACH TO DETERMINATION OF CALIBRATION CHARACTERISTICS OF INFORMATION TRANSFORMERS
JF - Radio Electronics, Computer Science, Control
JA - RIC
VL - 0
IS - 3
SE - Mathematical and computer modelling
DO - 10.15588/1607-3274-2019-3-6
UR - http://ric.zntu.edu.ua/article/view/184502
SP - 47 - 54
AB - Context. When designing various measuring instruments, the problem arises of constructing the so-called calibration characteristic<br />of a measuring device, i.e. the quantitative dependence of the measurement result on the measured value. This characteristic is<br />inverse to the direct characteristic – the dependence of the measured value on the measurement result. This problem is solved on the<br />basis of approximate data obtained during the experiment with the measuring instrument. A new method for solving this problem is<br />proposed, based on the apparatus of interval mathematics.<br />Objective. The aim of the work is to develop a completely formalized method for constructing the calibration characteristic<br />of a measuring instrument from approximate data obtained in the experiment with this instrument.<br />Method. The method proposed in this article consists in presenting the function of direct con-version of a measuring device in the<br />form of a linear interval function, determining its interval parameters (coefficients) from experimental data and solving the resulting<br />interval dependence between the measurement result and the measured quantity with respect to the measured value. The method of<br />solving interval equations is used.<br />Result. General formulas are obtained that determine interval calibration characteristic of the measuring instrument on the basis of<br />data obtained in the experiment with the instrument. A detailed analysis of formulas is performed. General laws are established that<br />obey direct and inverse (calibration) characteristics of measuring instrument, as well as the relationship between direct and inverse<br />characteristics (if the instrument is linear transformer).<br />Conclusions. The article proposes a new approach to the construction of calibration characteristics of measuring instruments,<br />based on use of interval mathematics, for processing data from experiments with instruments. This approach, unlike existing ones,<br />makes it possible to build calibration characteristics of measuring devices and analyze them purely analytically.
ER -