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We consider the task of remote state estimation and stabilization of disturbed linear plants via noisy communication channels. In 2007 Matveev and Savkin established a surprising link between this problem and Shannon's theory of zero-error…

Optimization and Control · Mathematics 2021-03-29 Holger Boche , Yannik Böck , Christian Deppe

It is known that state-dependent, multi-step Lyapunov bounds lead to greatly simplified verification theorems for stability for large classes of Markov chain models. This is one component of the "fluid model" approach to stability of…

Optimization and Control · Mathematics 2012-05-18 Serdar Yüksel , Sean P. Meyn

We revisit the task of quantum state redistribution in the one-shot setting, and design a protocol for this task with communication cost in terms of a measure of distance from quantum Markov chains. More precisely, the distance is defined…

Quantum Physics · Physics 2023-10-16 Anurag Anshu , Shima Bab Hadiashar , Rahul Jain , Ashwin Nayak , Dave Touchette

We study the maximum information gain that an adversary may obtain through hacking without being detected. Consider a dynamical process observed by a sensor that transmits a local estimate of the system state to a remote estimator according…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Jingyi Lu , Daniel Quevedo , Vijay Gupta , Subhrakanti Dey

This paper estimates free energy, average mutual information, and minimum mean square error (MMSE) of a linear model under two assumptions: (1) the source is generated by a Markov chain, (2) the source is generated via a hidden Markov…

Information Theory · Computer Science 2023-07-26 Lan V. Truong

We consider a sensor that samples an $N$-state continuous-time Markov chain (CTMC)-based information source process, and transmits the observed state of the source, to a remote monitor tasked with timely tracking of the source process. The…

Information Theory · Computer Science 2024-02-01 Ismail Cosandal , Nail Akar , Sennur Ulukus

Throughput and energy efficiency in fading channels are studied in the presence of randomly arriving data and statistical queueing constraints. In particular, Markovian arrival models including discrete-time Markov, Markov fluid, and…

Information Theory · Computer Science 2015-09-15 Mustafa Ozmen , M. Cenk Gursoy

As a class of state-dependent channels, Markov channels have been long studied in information theory for characterizing the feedback capacity and error exponent. This paper studies a more general variant of such channels where the state…

Information Theory · Computer Science 2022-02-22 Mohsen Heidari , Achilleas Anastasopoulos , S. Sandeep Pradhan

We study a multiple-input multiple-output (MIMO) multiple access channel (MAC) from several multi-antenna transmitters to a multi-antenna receiver. The fading channels between the transmitters and the receiver are modeled by random…

Information Theory · Computer Science 2011-05-04 Jakob Hoydis , Romain Couillet , Merouane Debbah

Channel estimation is of paramount importance in most communication systems in order to optimize the data rate/energy consumption tradeoff. In modern systems, the possibly large number of transmit/receive antennas and subcarriers makes this…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Luc Le Magoarou , Stéphane Paquelet

We consider linear systems subject to packet dropouts and obtain necessary and sufficient conditions for an arbitrary state transfer and state estimation over a finite time instance $T$. The data loss signal is modeled using the Bernoulli…

Optimization and Control · Mathematics 2019-06-07 A. Sanand Amita Dilip

The state estimation problem for nonlinear systems with stochastic uncertainties can be formulated in the Bayesian framework, where the objective is to replace the state completely by its probability density function. Without the…

Optimization and Control · Mathematics 2024-04-04 Lukas Ecker , Kurt Schlacher

We consider a time-slotted communication system with a machine, a cloud server, and a sampler. Job requests from the users are queued on the server to be completed by the machine. The machine has two states, namely, a busy state and a free…

Information Theory · Computer Science 2025-02-21 Subhankar Banerjee , Sennur Ulukus

Data-aided channel estimation is a promising solution to improve channel estimation accuracy by exploiting data symbols as pilot signals for updating an initial channel estimate. In this paper, we propose a semi-data-aided channel estimator…

Signal Processing · Electrical Eng. & Systems 2022-04-05 Tae-Kyoung Kim , Yo-Seb Jeon , Jun Li , Nima Tavangaran , H. Vincent Poor

In this paper, a stochastic dynamic control strategy is presented to prevent the spread of an infection over a homogeneous network. The infectious process is persistent, i.e., it continues to contaminate the network once it is established.…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Jalal Arabneydi , Amir G. Aghdam

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

We develop a predictive-first optimisation framework for streaming hidden Markov models. Unlike classical approaches that prioritise full posterior recovery under a fully specified generative model, we assume access to regime-specific…

Machine Learning · Statistics 2026-04-13 Gerardo Duran-Martin

In this paper, we consider the $H_{\infty}$ optimal control problem for a Markovian jump linear system (MJLS) over a lossy communication network. It is assumed that the controller communicates with each actuator through a different…

Systems and Control · Electrical Eng. & Systems 2019-11-05 Abhijit Mazumdar , Srinivasan Krishnaswamy , Somanath Majhi

We consider the channel sensing problem arising in opportunistic scheduling over fading channels, cognitive radio networks, and resource constrained jamming. The communication system consists of N channels. Each channel is modeled as a…

Systems and Control · Computer Science 2013-05-31 Yi Ouyang , Demosthenis Teneketzis

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

Methodology · Statistics 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick