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Kalman filter is a best linear unbiased state estimator. It is also comprehensible from the point view of the Bayesian estimation. However, this note gives a detailed derivation of Kalman filter from the mutual information perspective for…

信息论 · 计算机科学 2021-01-05 Yarong Luo , Jianlang Hu , Chi Guo

The robustness of the Kalman filter to double talk and its rapid convergence make it a popular approach for addressing acoustic echo cancellation (AEC) challenges. However, the inability to model nonlinearity and the need to tune control…

音频与语音处理 · 电气工程与系统科学 2023-12-27 Yixuan Zhang , Meng Yu , Hao Zhang , Dong Yu , DeLiang Wang

Precise frequency and phase synchronization are among the important aspects in a coherent distributed phased array antenna system, and are among the most challenging to achieve for microwave frequencies and above. We propose a high accuracy…

系统与控制 · 电气工程与系统科学 2023-06-09 Mohammed Rashid , Jeffrey A. Nanzer

Ensemble transform Kalman filtering (ETKF) data assimilation is often used to combine available observations with numerical simulations to obtain statistically accurate and reliable state representations in dynamical systems. However, it is…

数值分析 · 数学 2024-03-07 Tongtong Li , Anne Gelb , Yoonsang Lee

This article presents an up-to-date tutorial review of nonlinear Bayesian estimation. State estimation for nonlinear systems has been a challenge encountered in a wide range of engineering fields, attracting decades of research effort. To…

系统与控制 · 计算机科学 2017-12-15 Huazhen Fang , Ning Tian , Yebin Wang , MengChu Zhou , Mulugeta A. Haile

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…

信号处理 · 电气工程与系统科学 2026-04-07 Simon Hellmann , Terrance Wilms , Stefan Streif , Soeren Weinrich

The Kalman filter is the most powerful tool for estimation of the states of a linear Gaussian system. In addition, using this method, an expectation maximization algorithm can be used to estimate the parameters of the model. However, this…

统计计算 · 统计学 2020-06-01 Tsuyoshi Ishizone , Kazuyuki Nakamura

The success of the ensemble Kalman filter has triggered a strong interest in expanding its scope beyond classical state estimation problems. In this paper, we focus on continuous-time data assimilation where the model and measurement errors…

数值分析 · 数学 2019-06-26 Nikolas Nüsken , Sebastian Reich , Paul J. Rozdeba

This paper introduces a novel proprioceptive state estimator for legged robots that combines model-based filters and deep neural networks. Recent studies have shown that neural networks such as multi-layer perceptron or recurrent neural…

机器人学 · 计算机科学 2024-10-28 Donghoon Youm , Hyunsik Oh , Suyoung Choi , Hyeongjun Kim , Jemin Hwangbo

Motivated by the needs of online large-scale recommender systems, we specialize the decoupled extended Kalman filter (DEKF) to factorization models, including factorization machines, matrix and tensor factorization, and illustrate the…

机器学习 · 统计学 2021-02-25 Carlos Alberto Gomez-Uribe , Brian Karrer

Real-time control and estimation are pivotal for applications such as industrial automation and future healthcare. The realization of this vision relies heavily on efficient interactions with nonlinear systems. Therefore, Koopman learning,…

信息论 · 计算机科学 2025-12-19 Yutao Chen , Wei Chen

Kalman Filter (KF) is widely used in various domains to perform sequential learning or variable estimation. In the context of autonomous vehicles, KF constitutes the core component of many Advanced Driver Assistance Systems (ADAS), such as…

机器人学 · 计算机科学 2020-12-17 Yuzhe Ma , Jon Sharp , Ruizhe Wang , Earlence Fernandes , Xiaojin Zhu

We make modifications to the unscented Kalman filter (UKF) which bestow almost complete practical identifiability upon a lumped-parameter cardiovascular model with 10 parameters and 4 output observables - a highly non-linear, stiff problem…

信息论 · 计算机科学 2026-01-07 Alex Thornton , Ian Halliday , Harry Saxton , Xu Xu

Fifth-generation (5G) networks are expected to provide high-precision positioning estimation utilizing mmWave signals in urban and downtown areas. In such areas, 5G base stations (BSs) will be densely deployed, allowing for line-of-sight…

信号处理 · 电气工程与系统科学 2023-05-04 Sharief Saleh , Qamar Bader , Mohamed Elhabiby , Aboelmagd Noureldin

This paper considers the problem of distributed estimation in a sensor network, where multiple sensors are deployed to infer the state of a linear time-invariant (LTI) Gaussian system. By proposing a lossless decomposition of Kalman filter,…

系统与控制 · 电气工程与系统科学 2022-04-19 Jiaqi Yan , Yilin Mo , Hideaki Ishii

The unscented Kalman filter is an algorithm capable of handling nonlinear scenarios. Uncertainty in process noise covariance may decrease the filter estimation performance or even lead to its divergence. Therefore, it is important to adjust…

机器人学 · 计算机科学 2026-03-03 Amit Levy , Itzik Klein

Aiming to enhance the consistency and thus long-term accuracy of Extended Kalman Filters for terrestrial vehicle localization, this paper introduces the Manifold Error State Extended Kalman Filter (M-ESEKF). By representing the robot's pose…

机器人学 · 计算机科学 2026-01-29 Alexander Raab , Stephan Weiss , Alessandro Fornasier , Christian Brommer , Abdalrahman Ibrahim

We consider a general form of the sensor scheduling problem for state estimation of linear dynamical systems, which involves selecting sensors that minimize the trace of the Kalman filter error covariance (weighted by a positive…

最优化与控制 · 数学 2023-12-13 Shamak Dutta , Nils Wilde , Stephen L. Smith

In GNSS-denied underwater environments, individual unmanned underwater vehicles (UUVs) suffer from unbounded dead-reckoning drift, making collaborative navigation crucial for accurate state estimation. However, the severe communication…

机器人学 · 计算机科学 2026-04-06 Shuyue Li , Miguel López-Benítez , Eng Gee Lim , Fei Ma , Qian Dong , Mengze Cao , Limin Yu , Xiaohui Qin

Sequential Bayesian filters in non-linear dynamic systems require the recursive estimation of the predictive and posterior distributions. This paper introduces a Bayesian filter called the adaptive kernel Kalman filter (AKKF). With this…

信号处理 · 电气工程与系统科学 2023-04-12 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood