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In many applications of state estimation, the process noise is colored; this case is addressed by applying the standard Kalman filter (KF) to dynamics that are augmented with the coloring dynamics. The present paper considers the case where…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Mohammad Almuhaihi , Dennis Bernstein

This work proposes a resilient and adaptive state estimation framework for robots operating in perceptually-degraded environments. The approach, called Adaptive Maximum Correntropy Criterion Kalman Filtering (AMCCKF), is inherently robust…

Unmanned Aerial Vehicles in dynamic environments face telemetry outages, structural vibrations, and regime-dependent noise that invalidate the stationary covariance assumptions of classical Kalman filters. The Sage-Husa Kalman Filter (SHKF)…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Kenan Majewski , Marcin Żugaj

The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences,…

Numerical Analysis · Mathematics 2016-09-21 Claudia Schillings , Andrew M. Stuart

The optimal fusion of estimates in a Distributed Kalman Filter (DKF) requires tracking of the complete network error covariance, problematic in terms of memory and communication. A scalable alternative is to fuse estimates under unknown…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Eduardo Sebastián , Eduardo Montijano , Carlos Sagüés

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

Performing noise characterizations of lasers and optical frequency combs on sampled data offers numerous advantages compared to analog measurement techniques. One of the main advantages is that the measurement setup is greatly simplified.…

In many signal processing applications of Kalman filter (KF) and its variants and extensions, accurate estimation of extreme states is often of great importance. When the observations used are uncertain, however, KF suffers from conditional…

Signal Processing · Electrical Eng. & Systems 2019-08-02 Haojing Shen , Haksu Lee , Dong-Jun Seo

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

The Derivative-free nonlinear Kalman Filter is proposed for state estimation and fault diagnosis in distributed parameter systems and particularly in dynamical systems described by partial differential equations of the nonlinear wave type.…

Systems and Control · Computer Science 2013-11-05 Gerasimos G. Rigatos

The Kalman Filter (KF) is a powerful mathematical tool widely used for state estimation in various domains, including Simultaneous Localization and Mapping (SLAM). This paper presents an in-depth introduction to the Kalman Filter and…

Robotics · Computer Science 2024-07-01 Gyubeom Im

Facial landmark tracking plays a vital role in applications such as facial recognition, expression analysis, and medical diagnostics. In this paper, we consider the performance of the Extended Kalman Filter (EKF) and Unscented Kalman Filter…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Thoa Thieu , Roderick Melnik

This paper investigates the distributed Kalman filter (DKF) for linear systems, with specific attention on measurement fusion, which is a typical way of information sharing and is vital for enhancing stability and improving estimation…

Signal Processing · Electrical Eng. & Systems 2025-04-14 Tuo Yang , Jiachen Qian , Zhisheng Duan , Zhiyong Sun

As a burgeoning medical imaging method based on hybrid fusion of light and ultrasound, photoacoustic imaging (PAI) has demonstrated high potential in various biomedical applications recently, especially in revealing the functional and…

Signal Processing · Electrical Eng. & Systems 2022-11-21 Tianqu Hu , Zihao Huang , Peng Ge , Feng Gao , Fei Gao

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,…

Information Theory · Computer Science 2025-12-19 Yutao Chen , Wei Chen

We propose a nonlinear acoustic echo cancellation system, which aims to model the echo path from the far-end signal to the near-end microphone in two parts. Inspired by the physical behavior of modern hands-free devices, we first introduce…

Sound · Computer Science 2021-06-28 Amir Ivry , Israel Cohen , Baruch Berdugo

One of the main difficulties in echo cancellation is the fact that the learning rate needs to vary according to conditions such as double-talk and echo path change. In this paper we propose a new method of varying the learning rate of a…

Sound · Computer Science 2016-02-26 Jean-Marc Valin

This article examines state estimation in discrete-time nonlinear stochastic systems with finite-dimensional states and infinite-dimensional measurements, motivated by real-world applications such as vision-based localization and tracking.…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Maxwell M. Varley , Timothy L. Molloy , Girish N. Nair

We introduce a novel method for controlling the functionality of a hands-free speech communication device which comprises a model-based acoustic echo canceller (AEC), minimum variance distortionless response (MVDR) beamformer (BF) and…

Audio and Speech Processing · Electrical Eng. & Systems 2022-08-11 Thomas Haubner , Walter Kellermann

In this paper we adapt KalmanNet, which is a recently pro-posed deep neural network (DNN)-aided system whose architecture follows the operation of the model-based Kalman filter (KF), to learn its mapping in an unsupervised manner, i.e.,…

Signal Processing · Electrical Eng. & Systems 2021-10-19 Guy Revach , Nir Shlezinger , Timur Locher , Xiaoyong Ni , Ruud J. G. van Sloun , Yonina C. Eldar
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