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Публікація The Use of Factorization and Multimode Parametric Spectra in Estimating Frequency and Spectral Parameters of Signal(IEEE, 2020) Semenets, V.; Kartashov, V.; Sergiyenko, O.; Tikhonov, V.; Mercorelli, P.; Sheiko, S.; Chmelarova Kudriavtseva, N.; Rodríguez-Quiñonez Julio C.; Flores-Fuentes WendyA multiplicative autoregressive model is constructed based on the linear prediction model. The expressions describing such a model are derived. A formula for the parametric spectral estimation of a random signal multiplicative model is given. Relations are obtained for the decomposition of the multimode power spectral density into simple spectral components. Examples of the decomposition of multimode spectra of random signals into simpler components are considered. Keywords - power spectral density, multiplicative autoregressive model, parametric spectral analysis, characteristic equation.Публікація Theoretical Methods of Images Processing in Optoelectronic Systems(IGI Global, 2017) Strelkova, T.; Kartashov, V.; Lytyuga, A.; Strelkov, A.The chapter covers development of mathematical model of signals in output plane of optoelectronic system with registration of optical signals from objects. Analytical forms for mean values and dispersion of signal and interference components of photo receiver response are given. The mathematical model can be used as a base with detection algorithm development for optical signal from objects. An algorithm of signals' detection in output plane of optoelectronic system for the control is offered. The algorithm is synthesized taking into account corpuscular and statistical properties of optical signals. Analytical expressions for mean values and signal and noise components dispersion are cited. These expressions can be used for estimating efficiency of the offered algorithm by the criterion of detection probabilistic characteristics and criterion of signal/noise relation value. The possibility of signal detection characteristics improvement with low signal-to-noise ratio is shown.