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The Kalman filter computes the optimal variable-gain using prior knowledge of the initial state and random (process and measurement) noise distributions, which are assumed to be Gaussian with known variance. However, when these…

Systems and Control · Electrical Eng. & Systems 2022-01-31 Hugh Lachlan Kennedy

We propose a nonlinear filtering framework for approaching the problems of channel state tracking and spatiotemporal channel gain prediction in mobile wireless sensor networks, in a Bayesian setting. We assume that the wireless channel…

Applications · Statistics 2015-02-09 Dionysios S. Kalogerias , Athina P. Petropulu

State estimation refers to determining the states of a dynamical system that starts from a noisy initial condition and evolves under process noise, based on noisy measurements and a known system model. For linear dynamical systems with…

Optimization and Control · Mathematics 2025-07-11 Avneet Kaur , Ruikun Zhou , Jun Liu , Kirsten Morris

Recent years have bore witness to the proliferation of distributed filtering techniques, where a collection of agents communicating over an ad-hoc network aim to collaboratively estimate and track the state of a system. These techniques…

Signal Processing · Electrical Eng. & Systems 2021-02-23 Sayed Pouria Talebi , Stefan Werner , Vijay Gupta , Yih-Fang Huang

Today's power generation and distribution networks are quickly moving toward automated control and integration of renewable resources - a complex, integrated system termed the Smart Grid. A key component in planning and managing of Smart…

Signal Processing · Electrical Eng. & Systems 2020-01-01 Shervin Mehryar , Moe Z. Win

This paper addresses the synthesis of an optimal fixed-gain distributed observer for discrete-time linear systems over wireless sensor networks. The proposed approach targets the steady-state estimation regime and computes fixed observer…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Francisco Rego

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

Machine Learning · Statistics 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

This paper presents a design methodology for optimal transmission energy allocation at a sensor equipped with energy harvesting technology for remote state estimation of linear stochastic dynamical systems. In this framework, the sensor…

Optimization and Control · Mathematics 2016-11-18 Mojtaba Nourian , Alex S. Leong , Subhrakanti Dey

Finite-state Markov models are widely used for modeling wireless channels affected by a variety of non-idealities, ranging from shadowing to interference. In an industrial environment, the derivation of a Markov model based on the wireless…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Luis Felipe Florenzan Reyes , Francesco Smarra , Yuriy Zacchia Lun , Alessandro D'Innocenzo

We consider a fundamental remote state estimation problem of discrete-time linear time-invariant (LTI) systems. A smart sensor forwards its local state estimate to a remote estimator over a time-correlated $M$-state Markov fading channel,…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Wanchun Liu , Daniel E. Quevedo , Yonghui Li , Karl Henrik Johansson , Branka Vucetic

This paper presents a novel design methodology for optimal transmission policies at a smart sensor to remotely estimate the state of a stable linear stochastic dynamical system. The sensor makes measurements of the process and forms…

Optimization and Control · Mathematics 2016-11-18 Mojtaba Nourian , Alex S. Leong , Subhrakanti Dey , Daniel E. Quevedo

Measurements of a scalar linear Gauss-Markov process are sent over a fading channel. The fading channel is modeled as independent and identically distributed random variables with known realization at the receiver. The optimal estimator at…

Information Theory · Computer Science 2014-10-20 Reza Parseh , Kimmo Kansanen

To obtain the accurate transient states of the big scale natural gas pipeline networks under the bad data and non-zero mean noises conditions, a robust Kalman filter-based dynamic state estimation method is proposed using the linearized gas…

Signal Processing · Electrical Eng. & Systems 2021-03-10 Liang Chen , Peng Jin , Jing Yang , Yang Li , Yi Song

This article explores the estimation of parameters and states for linear stochastic systems with deterministic control inputs. It introduces a novel Kalman filtering approach called Kalman Filtering with Correlated Noises Recursive…

Systems and Control · Electrical Eng. & Systems 2025-07-11 Abd El Mageed Hag Elamin Khalid

This paper considers the distributed filtering problem for a class of stochastic uncertain systems under quantized data flowing over switching sensor networks. Employing the biased noisy observations of the local sensor and…

Signal Processing · Electrical Eng. & Systems 2019-10-08 Xingkang He , Wenchao Xue , Xiaocheng Zhang , Haitao Fang

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

We study causal waveform estimation (tracking) of time-varying signals in a paradigmatic atomic sensor, an alkali vapor monitored by Faraday rotation probing. We use Kalman filtering, which optimally tracks known linear Gaussian stochastic…

In this work, we consider a sensor selection drawn at random by a sampling with replacement policy for a linear time-invariant dynamical system subject to process and measurement noise. We employ the Kalman filter to estimate the state of…

Systems and Control · Electrical Eng. & Systems 2023-03-15 Christopher I. Calle , Shaunak D. Bopardikar

Kalman filtering is a classic state estimation technique used in application areas such as signal processing and autonomous control of vehicles. It is now being used to solve problems in computer systems such as controlling the voltage and…

Systems and Control · Electrical Eng. & Systems 2019-07-01 Yan Pei , Swarnendu Biswas , Donald S. Fussell , Keshav Pingali

State estimation of dynamical systems in real-time is a fundamental task in signal processing. For systems that are well-represented by a fully known linear Gaussian state space (SS) model, the celebrated Kalman filter (KF) is a low…

Signal Processing · Electrical Eng. & Systems 2022-04-13 Guy Revach , Nir Shlezinger , Xiaoyong Ni , Adria Lopez Escoriza , Ruud J. G. van Sloun , Yonina C. Eldar