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The Kalman filter (KF) is a widely-used algorithm for tracking dynamic systems that are captured by state space (SS) models. The need to fully describe a SS model limits its applicability under complex settings, e.g., when tracking based on…

Signal Processing · Electrical Eng. & Systems 2023-04-21 Itay Buchnik , Damiano Steger , Guy Revach , Ruud J. G. van Sloun , Tirza Routtenberg , Nir Shlezinger

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

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

Combining the classical Kalman filter (KF) with a deep neural network (DNN) enables tracking in partially known state space (SS) models. A major limitation of current DNN-aided designs stems from the need to train them to filter data…

Signal Processing · Electrical Eng. & Systems 2024-01-10 Xiaoyong Ni , Guy Revach , Nir Shlezinger

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

Kalman filtering is a powerful approach to adaptive filtering for various problems in signal processing. The frequency-domain adaptive Kalman filter (FDKF), based on the concept of the acoustic state space, provides a unifying solution to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-29 Ernst Seidel , Gerald Enzner , Pejman Mowlaee , Tim Fingscheidt

Continuously tracking the movement of a fluid or a plume in the subsurface is a challenge that is often encountered in applications, such as tracking a plume of injected CO$_2$ or of a hazardous substance. Advances in monitoring techniques…

Numerical Analysis · Mathematics 2015-06-19 Judith Y. Li , Sivaram Ambikasaran , Eric F. Darve , Peter K. Kitanidis

Statistical signal processing based speech enhancement methods adopt expert knowledge to design the statistical models and linear filters, which is complementary to the deep neural network (DNN) based methods which are data-driven. In this…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-19 Wei Xue , Gang Quan , Chao Zhang , Guohong Ding , Xiaodong He , Bowen Zhou

The traditional Kalman filter (KF) is widely applied in control systems, but it relies heavily on the accuracy of the system model and noise parameters, leading to potential performance degradation when facing inaccuracies. To address this…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Jiaming Wang , Xinyu Geng , Jun Xu

Hilbert-Huang transform (HHT) has drawn great attention in power system analysis due to its capability to deal with dynamic signal and provide instantaneous characteristics such as frequency, damping, and amplitudes. However, its…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Zhe Yu , Di Shi , Haifeng Li , Yishen Wang , Zhehan Yi , Zhiwei Wang

The Kalman filter (KF) and its variants are among the most celebrated algorithms in signal processing. These methods are used for state estimation of dynamic systems by relying on mathematical representations in the form of simple…

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…

Audio and Speech Processing · Electrical Eng. & Systems 2023-12-27 Yixuan Zhang , Meng Yu , Hao Zhang , Dong Yu , DeLiang Wang

We introduce KFD-NeRF, a novel dynamic neural radiance field integrated with an efficient and high-quality motion reconstruction framework based on Kalman filtering. Our key idea is to model the dynamic radiance field as a dynamic system…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Yifan Zhan , Zhuoxiao Li , Muyao Niu , Zhihang Zhong , Shohei Nobuhara , Ko Nishino , Yinqiang Zheng

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

In non-linear filtering, it is traditional to compare non-linear architectures such as neural networks to the standard linear Kalman Filter (KF). We observe that this mixes the evaluation of two separate components: the non-linear…

Machine Learning · Computer Science 2023-10-03 Ido Greenberg , Netanel Yannay , Shie Mannor

Correlation filter (CF) based trackers are currently ranked top in terms of their performances. Nevertheless, only some of them, such as KCF~\cite{henriques15} and MKCF~\cite{tangm15}, are able to exploit the powerful discriminability of…

Computer Vision and Pattern Recognition · Computer Science 2018-06-19 Ming Tang , Bin Yu , Fan Zhang , Jinqiao Wang

Traditional tracking-by-detection systems typically employ Kalman filters (KF) for state estimation. However, the KF requires domain-specific design choices and it is ill-suited to handling non-linear motion patterns. To address these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Momir Adžemović , Predrag Tadić , Andrija Petrović , Mladen Nikolić

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…

Signal Processing · Electrical Eng. & Systems 2023-04-12 Mengwei Sun , Mike E. Davies , Ian K. Proudler , James R. Hopgood

Data-driven models of dynamical systems require extensive amounts of training data. For many practical applications, gathering sufficient data is not feasible due to cost or safety concerns. This work uses the Subset Extended Kalman Filter…

Machine Learning · Computer Science 2026-03-04 Joshua E. Hammond , Tyler A. Soderstrom , Brian A. Korgel , Michael Baldea

In this paper, we derive a new Kalman filter with probabilistic data association between measurements and states. We formulate a variational inference problem to approximate the posterior density of the state conditioned on the measurement…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Hanwen Cao , George J. Pappas , Nikolay Atanasov
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