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In this paper, the standard Kalman filter was implemented to denoise the three dimensional signals affected by additive white Gaussian noise (AWGN), we used fast algorithm based on Laplacian operator to measure the noise variance and a fast…

Information Theory · Computer Science 2013-10-16 Y. Khmou , S. Safi

We address object tracking by radar and the robustness of the current state-of-the-art methods to process outliers. The standard tracking algorithms extract detections from radar image space to use it in the filtering stage. Filtering is…

Signal Processing · Electrical Eng. & Systems 2022-09-30 Alp Sarı , Tak Kaneko , Lense H. M. Swaenen , Wouter M. Kouw

Koopman spectral analysis plays a crucial role in understanding and modeling nonlinear dynamical systems as it reveals key system behaviors and long-term dynamics. However, the presence of measurement noise poses a significant challenge to…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Zhexuan Zeng , Jun Zhou , Yasen Wang , Zuowei Ping

Cubature Kalman Filter (CKF) has good performance when handling nonlinear dynamic state estimations. However, it cannot work well in non-Gaussian noise and bad data environment due to the lack of auto-adaptive ability to measure noise…

Systems and Control · Electrical Eng. & Systems 2019-10-08 Yang Li , Jing Li , Liang Chen , Junjian Qi , Guoqing Li

Studying the stability of the Kalman filter whose measurements are randomly lost has been an active research topic for over a decade. In this paper we extend the existing results to a far more general setting in which the measurement…

Systems and Control · Computer Science 2018-10-19 Damián Marelli , Tianju Sui , Eduardo Rohr , Minyue Fu

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…

Robotics · Computer Science 2024-10-28 Donghoon Youm , Hyunsik Oh , Suyoung Choi , Hyeongjun Kim , Jemin Hwangbo

A turbulent boundary layer is an essential flow case of fundamental and applied fluid mechanics. However, accurate measurements of turbulent boundary layer parameters (e.g., friction velocity $u_\tau$ and wall shear $\tau_w$), are…

Kalman filtering can provide an optimal estimation of the system state from noisy observation data. This algorithm's performance depends on the accuracy of system modeling and noise statistical characteristics, which are usually challenging…

Systems and Control · Electrical Eng. & Systems 2025-04-18 Xun Xiao , Junbo Tie , Jinyue Zhao , Ziqi Wang , Yuan Li , Qiang Dou , Lei Wang

This paper investigates the distributionally robust filtering of signals generated by state-space models driven by exogenous disturbances with noisy observations in finite and infinite horizon scenarios. The exact joint probability…

Optimization and Control · Mathematics 2024-07-29 Taylan Kargin , Joudi Hajar , Vikrant Malik , Babak Hassibi

In this paper is proposed a novel incremental iterative Gauss-Newton-Markov-Kalman filter method for state estimation of dynamic models given noisy measurements. The mathematical formulation of the proposed filter is based on the…

Optimization and Control · Mathematics 2019-09-17 Bojana Rosic

Many sensors, such as range, sonar, radar, GPS and visual devices, produce measurements which are contaminated by outliers. This problem can be addressed by using fat-tailed sensor models, which account for the possibility of outliers.…

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

A common situation in filtering where classical Kalman filtering does not perform particularly well is tracking in the presence of propagating outliers. This calls for robustness understood in a distributional sense, i.e.; we enlarge the…

Statistics Theory · Mathematics 2014-01-28 Peter Ruckdeschel , Bernhard Spangl , Daria Pupashenko

This study develops and analyzes linear and nonlinear state space models for estimating the elemental composition of scrap steel used in steelmaking, with applications to Electric Arc Furnace (EAF) and Basic Oxygen Furnace (BOF) processes.…

Systems and Control · Electrical Eng. & Systems 2025-07-14 Yiqing Zhou , Karsten Naert , Dirk Nuyens

This paper concerns Kalman filtering when the measurements of the process are censored. The censored measurements are addressed by the Tobit model of Type I and are one-dimensional with two censoring limits, while the (hidden) state vectors…

Signal Processing · Electrical Eng. & Systems 2020-02-21 Kostas Loumponias , George Tsaklidis

Kalman filtering is a widely used framework for Bayesian estimation. The partitioned update Kalman filter applies a Kalman filter update in parts so that the most linear parts of measurements are applied first. In this paper, we generalize…

Optimization and Control · Mathematics 2016-03-16 Matti Raitoharju , Ángel F. García-Fernández , Robert Piché

We take up optimality results for robust Kalman filtering from Ruckdeschel[2001,2010] where robustness is understood in a distributional sense, i.e.; we enlarge the distribution assumptions made in the ideal model by suitable neighborhoods,…

Computation · Statistics 2010-04-23 Peter Ruckdeschel

Climate change poses significant challenges for accurate climate modeling due to the complexity and variability of non-Gaussian climate systems. To address the complexities of non-Gaussian systems in climate modeling, this thesis proposes a…

Applications · Statistics 2024-06-28 Yunjin Tong

This paper introduces a new perspective on multi-class ensemble classification that considers training an ensemble as a state estimation problem. The new perspective considers the final ensemble classifier model as a static state, which can…

Machine Learning · Computer Science 2019-02-25 Arjun Pakrashi , Brian Mac Namee

In this paper, we present a UKF-PF based hybrid nonlinear filter for space object tracking. Estimating the state and its associated uncertainty, also known as filtering is paramount to the tracking process. The periodicity of the Keplerian…

Dynamical Systems · Mathematics 2014-09-30 Dilshad Raihan A. V. , Suman Chakravorty