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Accurate estimation of noise parameters is critical for optimal filter performance, especially in systems where true noise parameter values are unknown or time-varying. This article presents a quaternion left-invariant extended Kalman…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

Legged robots carry an IMU, but the inertial solution drifts because consumer-grade IMUs are noisy. However, the feet create intermittent contacts with the environment that can be used to mitigate that drift. This report develops a sequence…

Robotics · Computer Science 2026-05-25 Frank Dellaert , Chiyun Noh , Varun Agrawal , Ayoung Kim

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 introduces a novel proprioceptive state estimator for legged robots based on a learned displacement measurement from IMU data. Recent research in pedestrian tracking has shown that motion can be inferred from inertial data using…

Robotics · Computer Science 2021-11-02 Russell Buchanan , Marco Camurri , Frank Dellaert , Maurice Fallon

Pose estimation is a crucial problem in simultaneous localization and mapping (SLAM). However, developing a robust and consistent state estimator remains a significant challenge, as the traditional extended Kalman filter (EKF) struggles to…

Robotics · Computer Science 2025-03-05 Anbo Tao , Yarong Luo , Chunxi Xia , Chi Guo , Xingxing Li

Humanoid robots have great potential for a wide range of applications, including industrial and domestic use, healthcare, and search and rescue missions. However, bipedal locomotion in different environments is still a challenge when it…

Robotics · Computer Science 2025-11-21 Lasse Hohmeyer , Mihaela Popescu , Ivan Bergonzani , Dennis Mronga , Frank Kirchner

In many applications of biotechnology, measurements are available at different sampling rates, e.g., due to online sensors and offline lab analysis. Offline measurements typically involve time delays that may be unknown a priori due to the…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Simon Hellmann , Terrance Wilms , Stefan Streif , Soeren Weinrich

This paper presents the design and implementation of a perceptual system for the mobile robot using modern sensors and multi-point communication channels. The data extracted from the perceptual system is processed by a sensor fusion model…

Robotics · Computer Science 2016-11-30 T. T. Hoang , P. M. Duong , N. T. T. Van , D. A. Viet , T. Q. Vinh

Accurate and continuous pedestrian positioning across outdoor-indoor environments remains challenging because GNSS, UWB, and inertial PDR are complementary yet individually fragile under signal blockage, multipath, and drift. This paper…

This paper presents a dual stage EKF (Extended Kalman Filter)-based algorithm for the real-time and robust stereo VIO (visual inertial odometry). The first stage of this EKF-based algorithm performs the fusion of accelerometer and gyroscope…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Xiaogang Xiong , Wenqing Chen , Zhichao Liu , Qiang Shen

Visual Inertial Odometry (VIO) is of great interest due the ubiquity of devices equipped with both a monocular camera and Inertial Measurement Unit (IMU). Methods based on the extended Kalman Filter remain popular in VIO due to their low…

Robotics · Computer Science 2021-04-09 Pieter van Goor , Robert Mahony

This paper proposes a real-time approach for long-term inertial navigation based only on an Inertial Measurement Unit (IMU) for self-localizing wheeled robots. The approach builds upon two components: 1) a robust detector that uses…

Robotics · Computer Science 2020-03-02 Martin Brossard , Axel Barrau , Silvere Bonnabel

Accurate localization is crucial for effectively operating mobile robots in indoor environments. This paper presents a comprehensive approach to mobile robot localization by integrating an ultrasound-based indoor positioning system (IPS)…

This paper presents a computationally efficient and robust LiDAR-inertial odometry framework. We fuse LiDAR feature points with IMU data using a tightly-coupled iterated extended Kalman filter to allow robust navigation in fast-motion,…

Robotics · Computer Science 2021-04-15 Wei Xu , Fu Zhang

Robust and accurate proprioceptive state estimation of the main body is crucial for legged robots to execute tasks in extreme environments where exteroceptive sensors, such as LiDARs and cameras, may become unreliable. In this paper, we…

Robotics · Computer Science 2025-07-29 Yibin Wu , Jian Kuang , Shahram Khorshidi , Xiaoji Niu , Lasse Klingbeil , Maren Bennewitz , Heiner Kuhlmann

This paper describes a novel method for the estimation of the trajectory curve and orientation of a rigid body moving along a railway track. Compared to other recent developments in the literature, the presented approach has the significant…

Computational Engineering, Finance, and Science · Computer Science 2022-03-15 J. González-Carbajal , Pedro Urda , Sergio Muñoz , José L. Escalona

Extended Kalman Filter (EKF) has been a popular approach to localization a mobile robot. However, the performance of the EKF and the quality of the estimation depends on the correct a priori knowledge of process and measurement noise…

Other Computer Science · Computer Science 2010-04-20 Ramazan Havangi , Mohammad Ali Nekoui , Mohammad Teshnehlab

Building upon the theory of Kalman Filtering on Lie Groups, this paper describes an Extended Kalman Filter and Smoother for Loosely Coupled Integration of GNSS/INS tailored for post-processing applications. The approach employs a dynamic…

Robotics · Computer Science 2022-10-07 Marcos R. Fernandes , Giorgio M. Magalhães , Yusef Cáceres , João B. R. do Val

This paper addresses the localization problem. The extended Kalman filter (EKF) is employed to localize a unicycle-like mobile robot equipped with a laser range finder (LRF) sensor and an omni-directional camera. The LRF is used to scan the…

Robotics · Computer Science 2016-11-30 Tran Hiep Dinh , Manh Duong Phung , Thuan Hoang Tran , Quang Vinh Tran

The miniaturization of inertial measurement units (IMUs) facilitates their widespread use in a growing number of application domains. Orientation estimation is a prerequisite for most further data processing steps in inertial motion…

Systems and Control · Electrical Eng. & Systems 2022-10-28 Daniel Laidig , Thomas Seel