Iterated Filters for Nonlinear Transition Models

A Kullberg, I Skog, G Hendeby - 2023 26th International …, 2023 - ieeexplore.ieee.org
A new class of iterated linearization-based nonlinear filters, dubbed dynamically iterated
filters, is presented. Contrary to regular iterated filters such as the iterated extended Kalman …

Dynamically Iterated Filters: A unified framework for improved iterated filtering and smoothing

A Kullberg, MA Skoglund, I Skog… - arXiv preprint arXiv …, 2024 - arxiv.org
Typical iterated filters, such as the iterated extended Kalman filter (IEKF), iterated unscented
Kalman filter (IUKF), and iterated posterior linearization filter (IPLF), have been developed to …

New nonlinear iterated filter with applications to target tracking

RL Bellaire, EW Kamen… - Signal and Data …, 1995 - spiedigitallibrary.org
The two most popular solutions to the nonlinear filtering problem are the Extended Kalman
filter (EKF) and the Iterated Extended Kalman filter (IKF). Both are sub-optimal algorithms …

Iterative filtering and smoothing in nonlinear and non-Gaussian systems using conditional moments

F Tronarp, AF Garcia-Fernandez… - IEEE Signal Processing …, 2018 - ieeexplore.ieee.org
This letter presents the development of novel iterated filters and smoothers that only require
specification of the conditional moments of the dynamic and measurement models. This …

On iterative unscented Kalman filter using optimization

MA Skoglund, F Gustafsson… - 2019 22th International …, 2019 - ieeexplore.ieee.org
The unscented Kalman filter (UKF) is a very popular solution for estimation of the state in
nonlinear systems. Similar to the extended Kalman filter (EKF) and contrary to the Kalman …

Observation-centered Kalman filters

JT Kent, S Bhattacharjee, WR Faber… - arXiv preprint arXiv …, 2019 - arxiv.org
Various methods have been proposed for the nonlinear filtering problem, including the
extended Kalman filter (EKF), iterated extended Kalman filter (IEKF), unscented Kalman filter …

Increasing the convergence rate of the Extended Kalman Filter

MB Rhudy - AIAA Infotech@ Aerospace, 2015 - arc.aiaa.org
Efforts to improve the convergence of the Extended Kalman Filter (EKF) are presented.
Three different scaling parameters are introduced which change the convergence properties …

Posterior linearisation filter for non-linear state transformation noises

M Raitoharju, R Hostettler… - 2022 25th International …, 2022 - ieeexplore.ieee.org
This paper is concerned with discrete time Kalman-type filtering with state transition and
measurement noises that may be non-additive or non-linearly transformed. More …

Ensemble Kalman Filter with Bayesian Recursive Update

K Michaelson, AA Popov… - 2023 26th International …, 2023 - ieeexplore.ieee.org
Nonlinear measurement models pose a challenge to linear filters. The ensemble Kalman
filter (EnKF) is a popular choice despite its tendency to diverge in systems with highly …

On the Relationship Between Iterated Statistical Linearization and Quasi–Newton Methods

A Kullberg, MA Skoglund, I Skog… - IEEE Signal Processing …, 2023 - ieeexplore.ieee.org
This letter investigates relationships between iterated filtering algorithms based on statistical
linearization, such as the iterated unscented Kalman filter (iukf), and filtering algorithms …