A novel adaptive Kalman filter with inaccurate process and measurement noise covariance matrices

Y Huang, Y Zhang, Z Wu, N Li… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
In this paper, a novel variational Bayesian (VB)-based adaptive Kalman filter (VBAKF) for
linear Gaussian state-space models with inaccurate process and measurement noise …

[HTML][HTML] Approximate Gaussian conjugacy: parametric recursive filtering under nonlinearity, multimodality, uncertainty, and constraint, and beyond

T Li, J Su, W Liu, JM Corchado - Frontiers of Information Technology & …, 2017 - Springer
Since the landmark work of RE Kalman in the 1960s, considerable efforts have been
devoted to time series state space models for a large variety of dynamic estimation …

State estimation methods in navigation: Overview and application

J Duník, SK Biswas, AG Dempster… - IEEE Aerospace and …, 2020 - ieeexplore.ieee.org
This article deals with state estimation of nonlinear stochastic dynamic systems. The stress is
laid on general introduction of the selected estimation methods, description of their …

A Novel Robust Student's t-Based Kalman Filter

Y Huang, Y Zhang, N Li, Z Wu… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
A novel robust Student's t-based Kalman filter is proposed by using the variational Bayesian
approach, which provides a Gaussian approximation to the posterior distribution. Simulation …

A Novel Robust Gaussian–Student's t Mixture Distribution Based Kalman Filter

Y Huang, Y Zhang, Y Zhao… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, a novel Gaussian-Student's t mixture (GSTM) distribution is proposed to model
non-stationary heavy-tailed noises. The proposed GSTM distribution can be formulated as a …

A novel outlier-robust Kalman filtering framework based on statistical similarity measure

Y Huang, Y Zhang, Y Zhao, P Shi… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this article, a statistical similarity measure is introduced to quantify the similarity between
two random vectors. The measure is, then, employed to develop a novel outlier-robust …

Bayesian Inference for State-Space Models With Student-t Mixture Distributions

T Zhang, S Zhao, X Luan, F Liu - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This article proposes a robust Bayesian inference approach for linear state-space models
with nonstationary and heavy-tailed noise for robust state estimation. The predicted …

Robust Kalman filters based on Gaussian scale mixture distributions with application to target tracking

Y Huang, Y Zhang, P Shi, Z Wu, J Qian… - … on Systems, Man …, 2017 - ieeexplore.ieee.org
In this paper, a new robust Kalman filtering framework for a linear system with non-Gaussian
heavy-tailed and/or skewed state and measurement noises is proposed through modeling …

Robust student'st based nonlinear filter and smoother

Y Huang, Y Zhang, N Li… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Novel Student's t based approaches for formulating a filter and smoother, which utilize heavy
tailed process and measurement noise models, are found through approximations of the …

A novel Kullback–Leibler divergence minimization-based adaptive student's t-filter

Y Huang, Y Zhang, JA Chambers - IEEE Transactions on signal …, 2019 - ieeexplore.ieee.org
In this paper, in order to improve the Student's t-matching accuracy, a novel Kullback-Leibler
divergence (KLD) minimization-based matching method is firstly proposed by minimizing the …