Unobservable Systems: No Problem for Noise Identification

Fuente: arXiv
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Autori principali: Kost, Oliver, Dunik, Jindrich, Puncochar, Ivo, Straka, Ondrej
Natura: Preprint
Pubblicazione: 2025
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author Kost, Oliver
Dunik, Jindrich
Puncochar, Ivo
Straka, Ondrej
author_facet Kost, Oliver
Dunik, Jindrich
Puncochar, Ivo
Straka, Ondrej
contents This paper deals with the noise identification of a linear time-varying stochastic dynamic system described by the state-space model. In particular, the stress is laid on the design of the correlation measurement difference method for estimation of the state and measurement noise covariance matrices for both observable and \textit{unobservable} systems with possibly unknown input sequence. The method provides unbiased and consistent estimates and is implemented in a publicly available MATLAB toolbox and numerically evaluated.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23983
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unobservable Systems: No Problem for Noise Identification
Kost, Oliver
Dunik, Jindrich
Puncochar, Ivo
Straka, Ondrej
Signal Processing
This paper deals with the noise identification of a linear time-varying stochastic dynamic system described by the state-space model. In particular, the stress is laid on the design of the correlation measurement difference method for estimation of the state and measurement noise covariance matrices for both observable and \textit{unobservable} systems with possibly unknown input sequence. The method provides unbiased and consistent estimates and is implemented in a publicly available MATLAB toolbox and numerically evaluated.
title Unobservable Systems: No Problem for Noise Identification
topic Signal Processing
url https://arxiv.org/abs/2505.23983