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We consider a multi-process remote estimation system observing $K$ independent Ornstein-Uhlenbeck processes. In this system, a shared sensor samples the $K$ processes in such a way that the long-term average sum mean square error (MSE) is…

Information Theory · Computer Science 2022-09-23 Karim Banawan , Ahmed Arafa , Karim G. Seddik

In this paper, we consider sampling an Ornstein-Uhlenbeck (OU) process through a channel for remote estimation. The goal is to minimize the mean square error (MSE) at the estimator under a sampling frequency constraint when the channel…

Information Theory · Computer Science 2023-08-30 Yuchao Chen , Haoyue Tang , Jintao Wang , Pengkun Yang , Leandros Tassiulas

In this study, we generalize a problem of sampling a scalar Gauss Markov Process, namely, the Ornstein-Uhlenbeck (OU) process, where the samples are sent to a remote estimator and the estimator makes a causal estimate of the observed…

Information Theory · Computer Science 2022-02-14 Tasmeen Zaman Ornee , Yin Sun

The age of information, as a metric for evaluating information freshness, has received a lot of attention. Recently, an interesting connection between the age of information and remote estimation error was found in a sampling problem of…

Information Theory · Computer Science 2021-05-13 Tasmeen Zaman Ornee , Yin Sun

In this paper, we consider a problem of sampling a Wiener process, with samples forwarded to a remote estimator over a channel that is modeled as a queue. The estimator reconstructs an estimate of the real-time signal value from causally…

Information Theory · Computer Science 2019-08-20 Yin Sun , Yury Polyanskiy , Elif Uysal

In this paper, we consider a problem of sampling a Wiener process, with samples forwarded to a remote estimator via a channel that consists of a queue with random delay. The estimator reconstructs a real-time estimate of the signal from…

Information Theory · Computer Science 2017-05-26 Yin Sun , Yury Polyanskiy , Elif Uysal-Biyikoglu

The effects of quantization and coding on the estimation quality of Gauss-Markov processes are considered, with a special attention to the Ornstein-Uhlenbeck process. Samples are acquired from the process, quantized, and then encoded for…

Information Theory · Computer Science 2021-06-23 Ahmed Arafa , Karim Banawan , Karim G. Seddik , H. Vincent Poor

We address the optimal sampling of a Wiener process under sampling and transmission costs, with the samples being forwarded to a remote estimator over a channel with IID delay. The goal of the estimator is to reconstruct the real-time…

Networking and Internet Architecture · Computer Science 2025-02-20 Süleyman Çıtır , Orhan T. Yavaşcan , Elif Uysal

In this paper, we study a sampling problem where a source takes samples from a Wiener process and transmits them through a wireless channel to a remote estimator. Due to channel fading, interference, and potential collisions, the packet…

Information Theory · Computer Science 2023-10-19 Jiayu Pan , Yin Sun , Ness B. Shroff

We study a remote estimation setup with an autoregressive (AR) Markov process, a sensor, and a remote estimator. The sensor observes the process and sends encoded observations to the estimator as packets over an unreliable communication…

Optimization and Control · Mathematics 2025-12-29 Manali Dutta , Rahul Singh , Shalabh Bhatnagar

The effects of quantization and coding on the estimation quality of a Gauss-Markov, namely Ornstein-Uhlenbeck, process are considered. Samples are acquired from the process, quantized, and then encoded for transmission using either infinite…

Information Theory · Computer Science 2020-04-28 Ahmed Arafa , Karim Banawan , Karim G. Seddik , H. Vincent Poor

Efficient sampling and remote estimation are critical for a plethora of wireless-empowered applications in the Internet of Things and cyber-physical systems. Motivated by such applications, this work proposes decentralized policies for the…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Xingran Chen , Xinyu Liao , Shirin Saeedi Bidokhti

This paper considers the problem of sensory data scheduling of multiple processes. There are $n$ independent linear time-invariant processes and a remote estimator monitoring all the processes. Each process is measured by a sensor, which…

Systems and Control · Computer Science 2017-03-28 Shuang Wu , Xiaoqiang Ren , Subhrakanti Dey , Ling Shi

We consider the problem of multiple sensor scheduling for remote state estimation of multiple process over a shared link. In this problem, a set of sensors monitor mutually independent dynamical systems in parallel but only one sensor can…

Systems and Control · Computer Science 2016-12-30 Duo Han , Junfeng Wu , Yilin Mo , Lihua Xie

We consider the problem of transmission scheduling for the remote estimation of a discrete-time autoregressive Markov process that is driven by white Gaussian noise. A sensor observes this process, and then decides to either encode the…

Optimization and Control · Mathematics 2023-03-30 Manali Dutta , Rahul Singh

Stochastic processes are random variables with values in some space of paths. However, reducing a stochastic process to a path-valued random variable ignores its filtration, i.e. the flow of information carried by the process through time.…

Machine Learning · Statistics 2021-11-05 Cristopher Salvi , Maud Lemercier , Chong Liu , Blanka Hovarth , Theodoros Damoulas , Terry Lyons

In this paper, we study an online sampling problem of the Wiener process. The goal is to minimize the mean squared error (MSE) of the remote estimator under a sampling frequency constraint when the transmission delay distribution is…

Information Theory · Computer Science 2022-12-27 Haoyue Tang , Yin Sun , Leandros Tassiulas

Consider a discrete-time remote estimation system formed by an encoder, a transmission policy, a channel, and a remote estimator. The encoder assesses a random process that the remote estimator seeks to estimate based on information sent to…

Systems and Control · Computer Science 2016-05-04 David Ward , Nuno C. Martins

In this article, we establish a comprehensive theoretical framework for remote estimation in a networked system composed of a source that is observed by a sensor, a remote monitor that needs to estimate the state of the source in real time,…

Information Theory · Computer Science 2026-02-24 Touraj Soleymani , Mohamad Assaad , John S. Baras

We consider the problem of tracking the state of Gauss-Markov processes over rate-limited erasure-prone links. We concentrate first on the scenario in which several independent processes are seen by a single observer. The observer maps the…

Information Theory · Computer Science 2018-05-24 Anatoly Khina , Victoria Kostina , Ashish Khisti , Babak Hassibi
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