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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2021 Volume 8, Issue 4, Pages 9–16 (Mi jcem200)

This article is cited in 1 paper

Engineering Mathematics

Construction of observations based on data distorted by interference of various types

M. A. Sagadeeva, O. V. Mitin

South Ural State University, Chelyabinsk, Russian Federation

Abstract: The article describes the preliminary stage of the optimal dynamic measurement problem. Namely, an algorithm for constructing observation values based on the values obtained during the experiment is given. We assume that the experimental data can be affected by various types of interference, including white noise, which is understood as a derivative of Nelson – Gliklikh from the Wiener process. To construct the observation values, a priori information about the form of the function describing the observation values is used. The article consists of two parts. The first part contains an algorithm for constructing the observations values. And in the second part, the results of computational experiments are presented.

Keywords: useful part of the signal, convex up function, statistical hypothesis.

UDC: 519.254

Received: 10.10.2021

Language: English

DOI: 10.14529/jcem210402



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