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Robust Kalman-filter×Partikelfilter (sekventiel Monte Carlo)×
FagområdeBayesianskBayesiansk
FamilieBayesian methodsBayesian methods
Oprindelsesår19771993
OphavspersonDerived from Kalman (1960); robust extensions developed by Masreliez, Martin, and others from the 1970s onwardGordon, Salmond & Smith
TypeSequential Bayesian state estimator with robustified update stepSequential Monte Carlo estimator
Oprindelig kildeKalman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82(1), 35-45. DOI ↗Gordon, N. J., Salmond, D. J., & Smith, A. F. M. (1993). Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings F (Radar and Signal Processing), 140(2), 107–113. DOI ↗
AliasserRKF, heavy-tailed Kalman filter, outlier-robust Kalman filter, robust state estimationSMC, sequential Monte Carlo, bootstrap filter, condensation algorithm
Relaterede54
ResuméThe 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 particle filter, introduced by Gordon, Salmond, and Smith in 1993, is a sequential Monte Carlo algorithm that approximates the Bayesian filtering distribution for nonlinear and non-Gaussian state-space models. Rather than tracking a single best estimate, it maintains a cloud of N weighted random samples — particles — that collectively represent the full posterior distribution of a hidden state at each point in time as new observations arrive.
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ScholarGateSammenlign metoder: Robust Kalman Filter · Particle Filter. Hentet 2026-06-18 fra https://scholargate.app/da/compare