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The Optimal Distributed Kalman Filtering Fusion With Linear Equality Constraint

open access: yesIEEE Access, 2021
In this paper, the optimal distributed Kalman filtering fusion with linear equality constraint (LEC) is proposed. When the Kalman filter subject to LEC is applied in state estimation of distributed linear dynamic system, all local error covariance ...
Hua Li, Shengli Zhao
doaj   +1 more source

Two-Stage Cubature Kalman Filtering Based on T-Transform and Its Application

open access: yesComplexity, 2021
According to the actual application system model which has bias, this paper analyzes the shortage of the conventional augmented algorithm, the two-stage cubature Kalman filtering algorithm, which is presented on the basis of a two-stage nonlinear ...
Lu Zhang   +3 more
doaj   +1 more source

Lattice Kalman Filters [PDF]

open access: yesIEEE Signal Processing Letters, 2021
In this paper, a new filter in the nonlinear Kalman filtering framework is proposed. The new filter is referred to as the lattice Kalman filter (LKF) and is based on a class of quasi-Monte Carlo (QMC) methods known as lattice rules. The proposed LKF method uses the Korobov type lattice rule to deterministically generate sample points that are randomly ...
Abolfazl Rahimnejad   +2 more
openaire   +2 more sources

The Salted Kalman Filter: Kalman filtering on hybrid dynamical systems

open access: yesAutomatica, 2021
Many state estimation and control algorithms require knowledge of how probability distributions propagate through dynamical systems. However, despite hybrid dynamical systems becoming increasingly important in many fields, there has been little work on utilizing the knowledge of how probability distributions map through hybrid transitions.
Nathan J. Kong   +3 more
openaire   +3 more sources

The Kalman–Lévy filter [PDF]

open access: yesPhysica D: Nonlinear Phenomena, 2001
The Kalman filter combines forecasts and new observations to obtain an estimation which is optimal in the sense of a minimum average quadratic error. The Kalman filter has two main restrictions: (i) the dynamical system is assumed linear and (ii) forecasting errors and observational noises are taken Gaussian.
Sornette, Didier, Ide, Kayo
openaire   +3 more sources

Inverse problem of incomplete boundaries and unknown parameters in two-dimensional Poisson equation

open access: yesNantong Daxue xuebao. Ziran kexue ban, 2022
The inverse problem of Poisson equation with incomplete boundary or unknown parameters have been solved by using the method of fundamental solutions (MFS) and Kalman filtering technique.
WANG Yue; JIANG Quan
doaj   +1 more source

Multimodal Kalman filtering [PDF]

open access: yes2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2016
A difficult aspect of multimodal estimation is the possible discrepancy between the sampling rates and/or the noise levels of the considered data. Many algorithms cope with these dissimilarities empirically. In this paper, we propose a conceptual analysis of multimodality where we try to find the "optimal" way of combining modalities. More specifically,
Bourrier, Anthony   +3 more
openaire   +3 more sources

Double hybrid Kalman filtering for state estimation of dynamical systems [PDF]

open access: yesITM Web of Conferences, 2019
In this paper authors present a new approaches to the hybrid Kalman filtering and modified hybrid Kalman filtering, with the changed order of methods inside (Unscented Kalman Filter and Extended Kalman Filter).
Michalski Jacek   +2 more
doaj   +1 more source

Graph Kalman Filters

open access: yesCoRR, 2023
Added empirical ...
Cesare Alippi, Daniele Zambon
openaire   +2 more sources

A GENERIC PROBABILISTIC MODEL AND A HIERARCHICAL SOLUTION FOR SENSOR LOCALIZATION IN NOISY AND RESTRICTED CONDITIONS [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2016
A generic probabilistic model, under fundamental Bayes’ rule and Markov assumption, is introduced to integrate the process of mobile platform localization with optical sensors.
S. Ji, S. Ji, X. Yuan
doaj   +1 more source

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