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Guaranteed RMS Estimates of Spectral Functions and Radiation Sources from Observations with Random Disturbances
Volume 2026, Issue 1 (2026), pp. 549–558
Oleksandr Nakonechnyi   Petro Zinko   Taras Zinko   Mariia Losieva  

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https://doi.org/10.47459/cndcgs.2026.63
Pub. online: 9 July 2026      Type: Article      Open accessOpen Access

Published
9 July 2026

Abstract

In this article, we investigate the problem of estimating the spectral characteristics of the intensity of moving objects under stochastic uncertainty based on the results of measuring the magnitudes of wave fields at separate points. We assume that the unknown spectral functions belong to known sets from the functional space, and certain restrictions are given for the unknown correlation matrices. For linear guaranteed estimates of the set of linear functionals from spectral functions, we prove that the guaranteed mean square estimates are expressed in terms of solutions of a certain system of linear algebraic equations.

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Keywords
linear estimate of the vector guaranteed estimate of the vector vector estimation error spectral function moving radiation source stochastic uncertainty observation

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Generolo Jono Žemaičio Lietuvos karo akademija Šilo g. 5A., LT-10322 Vilnius, el.p: lka@mil.lt

General Jonas Žemaitis Military Academy of Lithuania  Šilo Str. 5A, LT-10322 Vilnius, Lithuania, e-mail: lka@mil.lt

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