scholarly journals Reconstruction of Observation from Distorted Data for the Optimal Dynamic Measurement Problem

2019 ◽  
Vol 12 (2) ◽  
pp. 82-96 ◽  
Author(s):  
M.A. Sagadeeva ◽  
Keyword(s):  
Measurement Problem ◽  
Dynamic Measurement ◽  
Optimal Dynamic ◽  
Distorted Data

scholarly journals CONSTRUCTION AN OBSERVATION IN THE SHESTAKOV–SVIRIDYUK MODEL IN TERMS OF MULTIDIMENSIONAL “WHITE NOISE” DISTORTION

2020 ◽  
Vol 12 (4) ◽  
pp. 41-50
Author(s):  
M.A. Sagadeeva ◽  
Keyword(s):  
Experimental Data ◽  
White Noise ◽  
Measurement Problem ◽  
A Priori ◽  
Dynamic Measurement ◽  
Observation Data ◽  
Virtual Observation ◽  
Optimal Dynamic ◽  
The Difference ◽  
Priori Information

The Shestakov–Sviridyuk model is a mathematical model of a measuring unit used to reconstruct a dynamically distorted signal with the help of experimental data. This model is also called the optimal dynamic measurement problem. The theory of optimal dynamic measurement is based on the problem of minimizing the difference between the values of a virtual observation obtained using a computational model and experimental data, usually distorted by some disturbances. The article describes the Shestakov–Sviridyuk model of optimal dynamic measurement in terms of various types of disturbances. It focuses on the preliminary stage of the study of the optimal dynamic measurement problem, namely, the Pyt’ev–Chulichkov method for constructing observation data, i. e. converting experimental data to clean them from disturbances in the form of “white noise”, which is understood as the Nelson–Glicklich derivative of the multidimensional Wiener process. To use this method, a priori information on the properties of the functions describing the observation, is used.

scholarly journals A new method for studying the problem of optimal dynamic measurement in the presence of observation interference

2021 ◽  
Vol 18 ◽  
pp. 100266
Author(s):  
Shestakov Alexandr ◽  
Zagrebina Sophiya ◽  
Sagadeeva Minzilya ◽  
Bychkov Evgeniy ◽  
Solovyova Natalya ◽  
...  
Keyword(s):  
Dynamic Measurement ◽  
New Method ◽  
Optimal Dynamic
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