The model of the measuring unit with consideration for the influence of external factors on the change in the total error of the measurement channel

A necessary task for metrological synthesis is to develop mathematical and algorithmic software that will allow creating models of measuring channels and automating the calculation of the total error, which will accelerate the process of developing measuring devices. The article proposes a model of a measuring unit that takes into account the change in the transformation characteristic due to the influence of environmental parameters, the type of functional dependence of the transformation characteristic on the influencing argument, the number of influencing parameters and the pattern of the influence. It is important to describe each measuring unit according to this model; concurrently, the measuring channel consists of sequentially connected units. The mathematical model is based on the method of nonlinear transformation, the inverse of the distribution function, as well as on the methods of describing signals, the theory of mathematical statistics and the theory of probability. Following on from the analytical calculations, the authors conducted a metrological analysis and compared the parameters of a random value at the output of the measuring channel accounting for the influence of external factors on the characteristics of the measuring unit conversion with the results obtained without regard for the influence of external factors. Examples of calculations confirm the need to minimize the total error of the measuring channel as a whole and not separately for each measuring unit.

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