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The Kalman filter is extensively used for state estimation for linear systems under Gaussian noise. When non-Gaussian L\'evy noise is present, the conventional Kalman filter may fail to be effective due to the fact that the non-Gaussian…

动力系统 · 数学 2013-03-12 Xu Sun , Jinqiao Duan , Xiaofan Li , Xiangjun Wang

Many filters have been proposed in recent decades for the nonlinear state estimation problem. The linearization-based extended Kalman filter (EKF) is widely applied to nonlinear industrial systems. As EKF is limited in accuracy and…

系统与控制 · 电气工程与系统科学 2020-09-29 Chengling Fang , Jiang Liu , Songqing Ye , Ju Zhang

Recently, a partitioned-block-based frequency-domain Kalman filter (PFKF) has been proposed for acoustic echo cancellation. Compared with the normal frequency-domain Kalman filter, the PFKF utilizes the partitioned-block structure,…

音频与语音处理 · 电气工程与系统科学 2025-08-04 Wenzhi Fan , Jing Lu

This paper investigates waveform estimation (tracking) of the time-varying force in a two-level optomechanical system with backaction noise by Kalman filtering. It is assumed that the backaction and measurement noises are Gaussian and…

量子物理 · 物理学 2019-03-05 Beili Gong , Daoyi Dong , Weizhou Su , Wei Cui

Many estimation problems in aerospace navigation and robotics involve measurements that depend on prior states. A prominent example is odometry, which measures the relative change between states over time. Accurately handling these…

机器人学 · 计算机科学 2026-05-13 Tara Mina , Lindsey Marinello , John Christian

We present the collaborative Kalman filter (CKF), a dynamic model for collaborative filtering and related factorization models. Using the matrix factorization approach to collaborative filtering, the CKF accounts for time evolution by…

机器学习 · 统计学 2015-01-23 San Gultekin , John Paisley

Tracking with bistatic radar measurements is challenging due to the fact that the measurements are nonlinear functions of the Cartesian state. The converted measurement Kalman filter (CMKF) converts the raw measurement into Cartesian…

信号处理 · 电气工程与系统科学 2020-04-03 Wang Sen , Bao Qinglong

The extraction of weak signals plays a crucial role in quantum precision measurement, where the estimation results are often limited by low signal-to-noise ratios. Here, we demonstrate a parameter-estimation framework based on the adaptive…

量子物理 · 物理学 2026-05-19 Yihan Wang , Xiaofeng Jin , Yuchuan Ming , Jianxiang Miao , Xiao-Ming Lu , M. W. Mitchell , Jia Kong

In this paper, we study the discrete time filtering problems for linear systems driven by fractional noises. The main difficulty comes from the non-Markovian of the noises. We construct the difference equation of the covariance process…

最优化与控制 · 数学 2024-12-24 Yuecai Han , Yuhang Li

Unscented Kalman Filters (UKFs) have become popular in the research community. Most UKFs work only with Euclidean systems, but in many scenarios it is advantageous to consider systems with state-variables taking values on Riemannian…

最优化与控制 · 数学 2018-06-29 Henrique M. T. Menegaz , João Y. Ishihara , Hugo T. M. Kussaba

Systems equipped with modern sensing modalities such as vision and lidar gain access to increasingly high-dimensional measurements with which to enact estimation and control schemes. In this article, we examine the continuum limit of…

系统与控制 · 电气工程与系统科学 2024-09-20 Maxwell Varley , Timothy L. Molloy , Girish N. Nair

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…

系统与控制 · 电气工程与系统科学 2025-08-05 Krishan Kumar Gola , Shaunak Sen

This paper presents a neural network-based Unscented Kalman Filter (UKF) to estimate and track the pose (i.e., position and orientation) of a known, noncooperative, tumbling target spacecraft in a close-proximity rendezvous scenario. The…

机器人学 · 计算机科学 2023-08-16 Tae Ha Park , Simone D'Amico

Internet of Things (IoT) applications have opened up numerous possibilities to improve our lives. Most of the remote devices, part of the IoT network, such as smartphones, data loggers and wireless sensors are battery powered. It is vital…

信号处理 · 电气工程与系统科学 2021-10-08 Chalukya Bhat , Aniruddh Herle , Janamejaya Channegowda , Kali Naraharisetti

Noise is an important factor that influences the reliability of information acquisition, transmission, processing, and storage. In order to suppress the inevitable noise effects, a fault-tolerant information processing approach via quantum…

量子物理 · 物理学 2026-03-27 Qi Song , Hongjing Li , Chengxi Yu , Jingzheng Huang , Ding Wang , Peng Huang , Guihua Zeng

The single-photon quantum filtering problems have been investigated recently with applications in quantum computing. In practice, the detector responds with a quantum efficiency of less than unity since there exists some mode mismatch…

量子物理 · 物理学 2018-01-11 Zhiyuan Dong , Guofeng Zhang , Nina H. Amini

Cyber-physical systems are found in many applications such as power networks, manufacturing processes, and air and ground transportation systems. Maintaining security of these systems under cyber attacks is an important and challenging…

系统与控制 · 计算机科学 2016-06-13 Young Hwan Chang , Qie Hu , Claire J. Tomlin

Both constrained and unconstrained optimization problems regularly appear in recursive tracking problems engineers currently address -- however, constraints are rarely exploited for these applications. We define the Kalman Filter and…

最优化与控制 · 数学 2007-09-19 Nachi Gupta , Raphael Hauser

This work extends a previous study that introduced an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its objective is to address the limitations of the earlier approach. The reversible Kalman filter…

系统与控制 · 电气工程与系统科学 2026-01-21 Svyatoslav Covanov , Cedric Pradalier

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…

机器人学 · 计算机科学 2026-03-04 Zi Cong Guo , James R. Forbes , Timothy D. Barfoot