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Kalman Filter requires the true parameters of the model and solves optimal state estimation recursively. Expectation Maximization (EM) algorithm is applicable for estimating the parameters of the model that are not available before Kalman…

机器学习 · 计算机科学 2021-05-26 Zhuangwei Shi

The possible methodologies to handle the uncertain parameter are reviewed. The core idea of the desensitized Kalman filter is introduced. A new cost function consisting of a posterior covariance trace and trace of a weighted norm of the…

信息论 · 计算机科学 2015-04-21 Taishan Lou

In multi-sensor data fusion (or sensor fusion), sensor biases (or offsets) often affect the accuracy of the correlation and integration results of the tracking targets. Therefore, to estimate and compensate the bias, several methods are…

系统与控制 · 计算机科学 2017-08-01 Hidetoshi Furukawa

The input-parameter-state estimation capabilities of a novel unscented Kalman filter is examined herein on both linear and nonlinear systems. The unknown input is estimated in two stages within each time step. Firstly, the predicted dynamic…

信号处理 · 电气工程与系统科学 2025-11-05 Marios Impraimakis , Andrew W. Smyth

This paper presents a novel adaptive fading cubature Kalman filter (AFCKF) based on double transitive factors. The developed adaptive algorithm is explained in two stages; stage (i) a single transitive factor is used to update the predicted…

系统与控制 · 电气工程与系统科学 2021-08-26 Mundla Narasimhappa

This paper considers the distributed filtering problem for a class of stochastic uncertain systems under quantized data flowing over switching sensor networks. Employing the biased noisy observations of the local sensor and…

信号处理 · 电气工程与系统科学 2019-10-08 Xingkang He , Wenchao Xue , Xiaocheng Zhang , Haitao Fang

The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

神经与进化计算 · 计算机科学 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

This work introduces an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its primary objective is to provide a methodology enabling the evaluation of the precision of existing Kalman filter variants…

系统与控制 · 电气工程与系统科学 2025-09-24 Svyatoslav Covanov , Cedric Pradalier

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

最优化与控制 · 数学 2018-10-11 Wei Kang , Liang Xu

The traditional Kalman filter (KF) is widely applied in control systems, but it relies heavily on the accuracy of the system model and noise parameters, leading to potential performance degradation when facing inaccuracies. To address this…

系统与控制 · 电气工程与系统科学 2024-04-08 Jiaming Wang , Xinyu Geng , Jun Xu

The ensemble Kalman filter (EnKF) is a Monte Carlo based implementation of the Kalman filter (KF) for extremely high-dimensional, possibly nonlinear and non-Gaussian state estimation problems. Its ability to handle state dimensions in the…

统计方法学 · 统计学 2018-02-12 Michael Roth , Gustaf Hendeby , Carsten Fritsche , Fredrik Gustafsson

This paper considers the simultaneous state and unknown input estimation for continuous-discrete stochastic systems. Two types of approaches (with and without modeling of unknown inputs) which can address this issue are investigated. A…

系统与控制 · 电气工程与系统科学 2020-05-12 Peng Lu

This paper presents an approach for simultaneous estimation of the state and unknown parameters in a sequential data assimilation framework. The state augmentation technique, in which the state vector is augmented by the model parameters,…

混沌动力学 · 物理学 2023-07-19 Naratip Santitissadeekorn , Chris Jones

Kalman filtering has been traditionally applied in three application areas of estimation, state estimation, parameter estimation (a.k.a. model updating), and dual estimation. However, Kalman filter is often not sufficient when experimenting…

系统与控制 · 电气工程与系统科学 2019-11-11 Johnny Condori , Amin Maghareh , Shirley Dyke

This article investigates the problem of data-driven state estimation for linear systems with both unknown system dynamics and noise covariances. We propose an Autocovariance Least-squares-based Data-driven Kalman Filter (ADKF), which…

系统与控制 · 电气工程与系统科学 2025-05-27 Suyang Hu , Xiaoxu Lyu , Peihu Duan , Dawei Shi , Ling Shi

Kalman Filters (KF) are fundamental to real-time state estimation applications, including radar-based tracking systems used in modern driver assistance and safety technologies. In a linear dynamical system with Gaussian noise distributions…

机器人学 · 计算机科学 2024-11-27 Arian Mehrfard , Bharanidhar Duraisamy , Stefan Haag , Florian Geiss

This paper presents an adaptive Kalman filter for a linear dynamic system perturbed by an additive disturbance. The objective is to estimate both of the state and the unknown disturbance concurrently, while learning the disturbance as a…

最优化与控制 · 数学 2019-10-23 Taeyoung Lee

Kalman filtering is a powerful approach to adaptive filtering for various problems in signal processing. The frequency-domain adaptive Kalman filter (FDKF), based on the concept of the acoustic state space, provides a unifying solution to…

音频与语音处理 · 电气工程与系统科学 2025-01-29 Ernst Seidel , Gerald Enzner , Pejman Mowlaee , Tim Fingscheidt

The extended Kalman filter (EKF) is a common state estimation method for discrete nonlinear systems. It recursively executes the propagation step as time goes by and the update step when a set of measurements arrives. In the update step,…

系统与控制 · 电气工程与系统科学 2023-10-05 Jianzhu Huai , Xiang Gao

Large-scale distributed systems such as sensor networks, often need to achieve filtering and consensus on an estimated parameter from high-dimensional measurements. Running a Kalman filter on every node in such a network is computationally…

最优化与控制 · 数学 2017-04-12 Mathias Hudoba de Badyn , Mehran Mesbahi