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Robust Kalman-filter×Kalman-filteret×
FagfeltBayesianskBayesiansk
FamilieBayesian methodsBayesian methods
Opprinnelsesår19771960
OpphavspersonDerived from Kalman (1960); robust extensions developed by Masreliez, Martin, and others from the 1970s onwardRudolf E. Kalman
TypeSequential Bayesian state estimator with robustified update steprecursive Bayesian filter
Opprinnelig kildeKalman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82(1), 35-45. DOI ↗Kalman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82(1), 35-45. DOI ↗
AliasRKF, heavy-tailed Kalman filter, outlier-robust Kalman filter, robust state estimationlinear quadratic estimator, LQE, Kalman-Bucy filter, optimal recursive filter
Relaterte55
SammendragThe Robust Kalman Filter is an extension of the classical Kalman filter designed to maintain reliable state estimation when observations or process noise depart from the Gaussian assumption — particularly when data contain outliers, heavy-tailed distributions, or gross errors. By replacing or downweighting the standard least-squares update with influence-limited or M-estimation-based corrections, it prevents a single anomalous measurement from distorting the entire state estimate.The Kalman filter is an optimal recursive algorithm for estimating the hidden state of a linear dynamical system from noisy measurements. At each time step it alternates between a prediction step — projecting the state forward using the system model — and an update step that corrects the prediction with the new observation, producing minimum-variance state estimates and their uncertainty in real time.
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ScholarGateSammenlign metoder: Robust Kalman Filter · Kalman Filter. Hentet 2026-06-18 fra https://scholargate.app/no/compare