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A Review of Nonlinear Filtering Algorithms in Integrated Navigation Systems [PDF]

open access: yesSensors
Nonlinear filtering algorithms have significant implications in the optimal estimation of navigation states and in improving the accuracy, reliability, and robustness of navigation systems.
Jiaqian Si, Yanxiong Niu, Botao Wang
doaj   +2 more sources

Gaussian filters for nonlinear filtering problems [PDF]

open access: yesIEEE Transactions on Automatic Control, 2000
The most widely used filter to estimate the state of a nonlinear stochastic system from noisy observation data is the extended Kalman filter. However, if the nonlinearities are significant, its performance can be considerably improved as recent works by Alspace and Sorenson (1967, 1972), C. P. Fang, Julier and Uhlmann (1994, 1995) have shown.
K Xiong
exaly   +3 more sources

Adaptive Smoothing for Visual Improvement of Image Quality via the p(x)-Laplacian Operator Effects of the p(x)-Laplacian Smoothing Operator on Digital Image Restoration: Contribution to an Adaptive Control Criterion

open access: yesApplied Sciences, 2023
This article concerns the improvement of digital image quality using mathematical tools such as nonlinear partial differential operators. In this paper, to perform smoothing on digital images, we propose to use the p(x)-Laplacian operator.
Jean-Luc Henry   +3 more
doaj   +1 more source

An Alignment Method Based on KF-ASMUKF Hybrid Filtering for Ship’s SINS under Mooring Conditions

open access: yesSensors, 2021
To solve the problem that the ship’s strapdown inertial navigation system (SINS) alignment accuracy decreases with the increase of the nonlinear filtering state dimension under mooring conditions, a method based on Kalman filter (KF) and Adaptive scale ...
Pengchao Yao, Gongliu Yang, Xiafu Peng
doaj   +1 more source

A new nonlinear filter [PDF]

open access: yesCommunications in Information and Systems, 2006
A discrete time filter is constructed where both the observation and signal process have non-linear dynamics with additive white Gaussian noise. Using the reference probably frame- work a convolution Zakai equation is obtained which updates the unnormalized conditional density.
Elliott, Robert J., Haykin, Simon
openaire   +2 more sources

A survey on distributed filtering, estimation and fusion for nonlinear systems with communication constraints: new advances and prospects

open access: yesSystems Science & Control Engineering, 2020
In this paper, some recent results on the distributed filtering, estimation and fusion algorithms for nonlinear systems with communication constraints are reviewed.
Zhibin Hu, Jun Hu, Guang Yang
doaj   +1 more source

Classification of digital non-linear filters by discrete convolutions

open access: yesИзвестия высших учебных заведений. Поволжский регион:Технические науки, 2022
Background. In the field of digital signal processing, there are many problems that can not be solved with traditional linear filtering methods. In particular, the use of linear filtering does not allow separating signal from the noise in the case when
M.A. Shcherbakov
doaj   +1 more source

Collaborative-prediction-based recursive filtering for nonlinear systems with sensor saturation under duty cycle scheduling

open access: yesSystems Science & Control Engineering, 2023
In this paper, a recursive filtering problem is analyzed for nonlinear systems with sensor saturation under duty cycle scheduling (DCS). The sensor saturation is taken into account to describe practical engineering better.
Hongyu Gao   +3 more
doaj   +1 more source

Nonlinear Non-Gaussian Estimation Using Maximum Correntropy Square Root Cubature Information Filtering

open access: yesIEEE Access, 2020
This paper concerns the nonlinear filter designing methods in the information space of the nonlinear systems with non-Gaussian noises. Firstly, the prediction information vector is obtained by the traditional square root cubature information filtering ...
Xiaoliang Feng   +4 more
doaj   +1 more source

Euclidean Quantum Mechanics and Universal Nonlinear Filtering

open access: yesEntropy, 2009
An important problem in applied science is the continuous nonlinear filtering problem, i.e., the estimation of a Langevin state that is observed indirectly.
Bhashyam Balaji
doaj   +1 more source

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