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Accurate state estimation using low-cost MEMS (Micro Electro- Mechanical Systems) sensors present on Commercial-off-the-shelf (COTS) drones is a challenging problem. Most UAV systems use a combination of a gyroscope, an accelerometer, and a…

Systems and Control · Electrical Eng. & Systems 2020-09-09 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

A stochastic filter uses a series of measurements over time to produce estimates of unknown variables based on a dynamic model. For a quantum system, such an algorithm is provided by a quantum filter, which is also known as a stochastic…

Quantum Physics · Physics 2017-07-25 Muhammad F. Emzir , Matthew J. Woolley , Ian R. Petersen

The main contribution of this paper is an invariant extended Kalman filter (EKF) for visual inertial navigation systems (VINS). It is demonstrated that the conventional EKF based VINS is not invariant under the stochastic unobservable…

Robotics · Computer Science 2017-03-02 Teng Zhang , Kanzhi Wu , Daobilige Su , Shoudong Huang , Gamini Dissanayake

Switching Kalman Filters (SKF) are well known for their ability to solve the piecewise linear dynamic system estimation problem using the standard Kalman Filter (KF). Practical SKFs are heuristic, approximate filters that are not guaranteed…

Signal Processing · Electrical Eng. & Systems 2022-01-31 Parisa Karimi , Zhizhen Zhao , Mark Butala , Farzad Kamalabadi

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

We present the Koopman-Inspired Learned Observations Extended Kalman Filter (KILO-EKF), which combines a standard EKF prediction step with a correction step based on a Koopman-inspired measurement model learned from data. By lifting…

Robotics · Computer Science 2026-03-04 Zi Cong Guo , James R. Forbes , Timothy D. Barfoot

This paper presents a novel methodology to auto-tune an Unscented Kalman Filter (UKF). It involves using a Two-Stage Bayesian Optimisation (TSBO), based on a t-Student Process to optimise the process noise parameters of a UKF for vehicle…

Systems and Control · Electrical Eng. & Systems 2022-07-28 A. Bertipaglia , B. Shyrokau , M. Alirezaei , R. Happee

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…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Marios Impraimakis , Andrew W. Smyth

Satellite dynamics and tracking remain important challenges in the context of space exploration and communication systems. Accurate state estimation is essential to maintain reliable orbital motion and system performance. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Moh Kamalul Wafi

We describe an application of the Invariant Extended Kalman Filter (IEKF) design methodology to the scan matching SLAM problem. We review the theoretical foundations of the IEKF and its practical interest of guaranteeing robustness to poor…

Systems and Control · Computer Science 2014-10-17 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

Ultra-wideband (UWB) indoor localization provides centimeter-level accuracy and low latency, but its measurement reliability degrades severely under Non-Line-of-Sight (NLOS) conditions, leading to meter-scale ranging errors and inconsistent…

Signal Processing · Electrical Eng. & Systems 2026-03-20 Kyeonghyun Yoo , Wooyong Jung , Namkyung Yoon , Sangmin Lee , Sanghong Kim , Hwangnam Kim

Ensemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction (NWP). There is a growing interest for physical models…

Applications · Statistics 2018-08-01 Sylvain Robert , Hans R. Künsch

In communication networks, channel estimation and user localization are challenging problems in harsh environments or signal-blocked areas. This paper introduces a novel approach to minimize the Mean Squared Error (MSE) in channel…

Signal Processing · Electrical Eng. & Systems 2026-02-23 Ju Zhuoxuan , Doroslovacki Milos

We study the ensemble Kalman filter (EnKF) algorithm for sequential data assimilation in a general situation, that is, for nonlinear forecast and measurement models with non-additive and non-Gaussian noises. Such applications traditionally…

Methodology · Statistics 2018-08-17 Weixuan Li , W. Steven Rosenthal , Guang Lin

This technical note addresses the UD factorization based Kalman filtering (KF) algorithms. Using this important class of numerically stable KF schemes, we extend its functionality and develop an elegant and simple method for computation of…

Systems and Control · Computer Science 2016-11-28 Julia V. Tsyganova , Maria V. Kulikova

Driven by technological breakthroughs, indoor tracking and localization have gained importance in various applications including the Internet of Things (IoT), robotics, and unmanned aerial vehicles (UAVs). To tackle some of the challenges…

Signal Processing · Electrical Eng. & Systems 2025-01-06 Hammam Salem , Mohanad Ahmed , Mohammed AlSharif , Ali Muqaibel , Tareq Al-Naffouri

This paper presents an estimation and control framework that enables the targeted reentry of a drag-modulated spacecraft in the presence of atmospheric density uncertainty. In particular, an extended Kalman filter (EKF) is used to estimate…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Alex D. Hayes , Ryan J. Caverly

The Kalman Filter is a widely used approach for the linear estimation of dynamical systems and is frequently employed within nuclear and particle physics experiments for the reconstruction of charged particle trajectories, known as tracks.…

Instrumentation and Detectors · Physics 2025-03-04 Xiaocong Ai , Heather M. Gray , Andreas Salzburger , Nicholas Styles

This study presents an innovative hybrid Visual-Inertial Odometry (VIO) method for Unmanned Aerial Vehicles (UAVs) that is resilient to environmental challenges and capable of dynamically assessing sensor reliability. Built upon a loosely…

Robotics · Computer Science 2025-12-22 Ufuk Asil , Efendi Nasibov

Ensemble data assimilation methods such as the Ensemble Kalman Filter (EnKF) are a key component of probabilistic weather forecasting. They represent the uncertainty in the initial conditions by an ensemble which incorporates information…

Applications · Statistics 2018-10-17 Sylvain Robert , Daniel Leuenberger , Hans R. Künsch