Guaranteed RMS Estimates of Spectral Functions and Radiation Sources from Observations with Random Disturbances
Volume 2026, Issue 1 (2026), pp. 549–558
Pub. online: 9 July 2026
Type: Article
Open Access
Published
9 July 2026
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.