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This paper investigates the state estimation problem for unknown linear systems subject to both process and measurement noise. Based on a prior input-output trajectory sampled at a higher frequency and a prior state trajectory sampled at a…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Peihu Duan , Tao Liu , Yu Xing , Karl Henrik Johansson

Fueled by applications in sensor networks, these years have witnessed a surge of interest in distributed estimation and filtering. A new approach is hereby proposed for the Distributed Kalman Filter (DKF) by integrating a local covariance…

Systems and Control · Computer Science 2017-03-17 Ye Yuan , Ling Shi , Jun Liu , Zhiyong Chen , Hai-Tao Zhang , Jorge Goncalves

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He

We propose a Neural-Enhanced Distributed Kalman Filter (NDKF) for multi-sensor state estimation in nonlinear systems. Unlike traditional Kalman filters that rely on explicit analytical models and assume centralized fusion, NDKF leverages…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Siavash Farzan , Bennett Parisi

The Kalman filter (KF) is an optimal linear state estimator for linear systems, and numerous extensions, including the extended Kalman filter (EKF), unscented Kalman filter (UKF), and cubature Kalman filter (CKF), have been developed for…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Shida Jiang , Junzhe Shi , Scott Moura

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…

Systems and Control · Electrical Eng. & Systems 2021-08-26 Mundla Narasimhappa

Stochastic models in biomolecular contexts can have a state-dependent process noise covariance. The choice of the process noise covariance is an important parameter in the design of a Kalman Filter for state estimation and the theoretical…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Krishan Kumar Gola , Shaunak Sen

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…

Signal Processing · Electrical Eng. & Systems 2019-10-08 Xingkang He , Wenchao Xue , Xiaocheng Zhang , Haitao Fang

This paper investigates the distributed Kalman filter (DKF) for linear systems, with specific attention on measurement fusion, which is a typical way of information sharing and is vital for enhancing stability and improving estimation…

Signal Processing · Electrical Eng. & Systems 2025-04-14 Tuo Yang , Jiachen Qian , Zhisheng Duan , Zhiyong Sun

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

Applications · Statistics 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

The Kalman filter has been adopted in acoustic echo cancellation due to its robustness to double-talk, fast convergence, and good steady-state performance. The performance of Kalman filter is closely related to the estimation accuracy of…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-01 Dong Yang , Fei Jiang , Wei Wu , Xuefei Fang , Muyong Cao

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

Machine Learning · Statistics 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

This paper studies the distributed state estimation problem for a class of discrete time-varying systems over sensor networks. Firstly, it is shown that a networked Kalman filter with optimal gain parameter is actually a centralized filter,…

Systems and Control · Computer Science 2017-11-15 Xingkang He , Wenchao Xue , Haitao Fang

Providing a metric of uncertainty alongside a state estimate is often crucial when tracking a dynamical system. Classic state estimators, such as the Kalman filter (KF), provide a time-dependent uncertainty measure from knowledge of the…

Signal Processing · Electrical Eng. & Systems 2022-02-10 Itzik Klein , Guy Revach , Nir Shlezinger , Jonas E. Mehr , Ruud J. G. van Sloun , Yonina. C. Eldar

This article introduces a new algorithm for nonlinear state estimation based on deterministic sigma point and EKF linearized framework for priori mean and covariance respectively. This method reduces the computation cost of UKF about 50%…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Milad Behvandi , Mohammad Azam Khosravi , Amir Abolfazl Suratgar

Accurate state estimation of nonlinear dynamical systems is fundamental to modern aerospace operations across air, sea, and space domains. Online tracking of adversarial unmanned aerial vehicles (UAVs) is especially challenging due to agile…

Machine Learning · Computer Science 2026-05-01 Akhil Gupta , Erhan Guven

This paper examines learning the optimal filtering policy, known as the Kalman gain, for a linear system with unknown noise covariance matrices using noisy output data. The learning problem is formulated as a stochastic policy optimization…

Systems and Control · Electrical Eng. & Systems 2023-10-27 Shahriar Talebi , Amirhossein Taghvaei , Mehran Mesbahi

We study state estimation for discrete-time linear stochastic systems under distributional ambiguity in the initial state, process noise, and measurement noise. We propose a noise-centric distributionally robust Kalman filter (DRKF) based…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

Recent years have witnessed a growing interest in tracking algorithms that augment Kalman Filters (KFs) with Deep Neural Networks (DNNs). By transforming KFs into trainable deep learning models, one can learn from data to reliably track a…

Signal Processing · Electrical Eng. & Systems 2025-06-19 Yehonatan Dahan , Guy Revach , Jindrich Dunik , Nir Shlezinger

Accurate estimation of the dynamic states of a synchronous machine (e.g., rotor s angle and speed) is essential in monitoring and controlling transient stability of a power system. It is well known that the covariance matrixes of process…

Systems and Control · Computer Science 2017-02-06 Shahrokh Akhlaghi , Ning Zhou , Zhenyu Huang
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