Devising a numerical method for estimating the positioning accuracy of aircraft by an information- communication network of optoelectronic stations

Authors

DOI:

https://doi.org/10.15587/1729-4061.2025.330922

Keywords:

optoelectronic station, infocommunication network, aircraft, convex polyhedron, scattering ellipsoid

Abstract

The object of this study is the accuracy of aircraft positioning for open and covert video surveillance by an infocommunication network of optical-electronic stations along the trajectories of their movement. The task addressed is numerical assessment of the accuracy of aircraft positioning in airspace. It is proposed to use a convex polyhedron as a universal assessment of the accuracy of aircraft positioning, in which, with a given probability, the aircraft is located. It is shown that the lower estimate of this probability depends on the a priori information on the statistical properties of the errors in the estimates of the coordinates of the aircraft location, and the scattering ellipsoid, which is currently the main form of assessing the accuracy of aircraft positioning in airspace, is a special case and is always located inside a convex polyhedron.

The results reported here include the following:

– simulation models of open and covert video surveillance by an infocommunication network of optoelectronic stations along the trajectories of aircraft movement;

– a numerical method for estimating the uncertainty region in the form of a convex polyhedron, in which, with a given probability, the aircraft is located;

– dependence of change in the shapes and boundaries of the convex polyhedron on the errors of video surveillance and the mutual spatial location of the aircraft and the network of optoelectronic stations;

– software implementation of methods for constructing and visualizing the shapes and boundaries of uncertainty regions in the form of convex polyhedrons and scattering ellipsoids.

It is shown that the aircraft is inside the convex polyhedron with the probability P ≥ 0.8889 for any distribution, P ≥ 0.9506 for a symmetric one and P ≥ 0.9973 for a normal distribution

Author Biographies

Andriy Tevyashev, Kharkiv National University of Radio Electronics

Doctor of Technical Sciences, Professor

Department of Applied Mathematics

Oleksii Haluza, National Technical University «Kharkiv Polytechnic Institute»; Kharkiv National University of Radio Electronics

Doctor of Physical and Mathematical Sciences, Professor

Department of Computer Mathematics and Data Analysis

Department of Software Engineering

Dmytro Kostaryev, Kharkiv National University of Radio Electronics

Doctor of Technical Sciences

Department of Applied Mathematics

Anton Paramonov, Kharkiv National University of Radio Electronics

PhD Student

Department of Information Technology Security

Nataliia Sizova, O.M. Beketov National University of Urban Economy in Kharkiv

Doctor of Physical and Mathematical Sciences, Professor

Department of Applied Mathematics and Information Technology

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Devising a numerical method for estimating the positioning accuracy of aircraft by an information- communication network of optoelectronic stations

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Published

2025-06-25

How to Cite

Tevyashev, A., Haluza, O., Kostaryev, D., Paramonov, A., & Sizova, N. (2025). Devising a numerical method for estimating the positioning accuracy of aircraft by an information- communication network of optoelectronic stations. Eastern-European Journal of Enterprise Technologies, 3(9 (135), 101–120. https://doi.org/10.15587/1729-4061.2025.330922

Issue

Vol. 3 No. 9 (135) (2025): Information and controlling system

Section

Information and controlling system

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Copyright (c) 2025 Andriy Tevyashev, Oleksii Haluza, Dmytro Kostaryev, Anton Paramonov, Nataliia Sizova

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