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We derive three fundamental decompositions on relevant information quantities in feedback systems. The feedback systems considered in this paper are only restricted to be causal in time domain and the channels are allowed to be subject to…

Information Theory · Computer Science 2014-05-02 Bertrand Wechsler , Dan Eilat , Nicolas Limal

In this technical note, we investigate information quantities of state-dependent communication channels with corrupted information fed back from the receiver. We derive an information identity which can be interpreted as a law of…

Information Theory · Computer Science 2014-02-06 Nicolas Limal

This paper considers the problem of closed-loop identification of linear scalar systems with Gaussian process noise, where the system input is determined by a deterministic state feedback policy. The regularized least-square estimate (LSE)…

Systems and Control · Electrical Eng. & Systems 2020-03-30 Ali Reza Pedram , Takashi Tanaka

The performance of a noisy linear time-invariant (LTI) plant, controlled over a noiseless digital channel with transmission delay, is investigated in this paper. The rate-limited channel connects the single measurement output of the plant…

Systems and Control · Computer Science 2017-02-22 Mohsen Barforooshan , Jan Østergaard , Milan S. Derpich

The most natural way to describe an information-carrying system containing a specific noise is an additive white Gaussian-noise (AWGN) channel. In bosonic quantum systems (especially the Gaussian case), although the classical information…

Quantum Physics · Physics 2019-05-14 Kabgyun Jeong , Hun Hee Lee , Youngrong Lim

We derive lower and upper bounds on the identification capacity of inverse Gaussian channels, a fundamental model for molecular communications in fluid environments. The analysis considers deterministic encoding schemes under a peak time…

Information Theory · Computer Science 2026-05-08 Mohammad Javad Salariseddigh

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also another channel with independent additive Gaussian noise (the feedback channel), and the transmitter observes without delay…

Information Theory · Computer Science 2015-01-21 Marat V. Burnashev , Hirosuke Yamamoto

Information transmission over channels with transceiver distortion is investigated via generalized mutual information (GMI) under Gaussian input distribution and nearest-neighbor decoding. A canonical transceiver structure in which the…

Information Theory · Computer Science 2016-02-11 Wenyi Zhang

We consider molecular communication, with information conveyed in the time of release of molecules. The main contribution of this paper is the development of a theoretical foundation for such a communication system. Specifically, we develop…

Information Theory · Computer Science 2016-11-17 K. V. Srinivas , Raviraj S. Adve , Andrew W. Eckford

This work investigates the information loss in a decimation system, i.e., in a downsampler preceded by an anti-aliasing filter. It is shown that, without a specific signal model in mind, the anti-aliasing filter cannot reduce information…

Information Theory · Computer Science 2014-07-08 Bernhard C. Geiger , Gernot Kubin

Preserving information stored in a physical system subjected to noise can be modeled in a communication-theoretic paradigm, in which storage and retrieval correspond to an input encoding and output decoding, respectively. The encoding and…

Quantum Physics · Physics 2014-12-30 Stefano Mancini , Roberto Pierini , Mark M. Wilde

Exploiting the theory of state space models, we derive the exact expressions of the information transfer, as well as redundant and synergistic transfer, for coupled Gaussian processes observed at multiple temporal scales. All of the terms,…

Methodology · Statistics 2017-08-21 Luca Faes , Daniele Marinazzo , Sebastiano Stramaglia

Nonlinear interference is modeled by a time-varying conditionally Gaussian channel. It is shown that approximating this channel with a time-invariant channel imposes considerable loss in the performance of channel decoding. An adaptive…

Information Theory · Computer Science 2021-02-02 Reza Rafie Borujeny , Frank R. Kschischang

Linear time-translation-invariant (LTI) models offer simple, yet powerful, abstractions of complex classical dynamical systems. Quantum versions of such models have so far relied on assumptions of Markovianity or an internal state-space…

Quantum Physics · Physics 2024-10-16 Jacques Ding , Hudson A. Loughlin , Vivishek Sudhir

This technical note considers the problem of resource allocation in linear feedback control system with output disturbance. By decomposing the information rate in the feedback communication channel, the channel resource allocation is…

Information Theory · Computer Science 2015-11-12 Xue Dong , Kun Wang , Chong Xu , Weimin Wang

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also feedback channel with independent additive Gaussian noise, and the transmitter observes without delay all outputs of the…

Information Theory · Computer Science 2012-08-15 M. V. Burnashev , H. Yamamoto

We focus our attention on the most common scenario in networked control systems where the measured output from the observer is transmitted via a communication channel to the controller. Using information theoretic results, we studied the…

Systems and Control · Computer Science 2019-06-24 Ayush Pandey

For a continuous-time additive white Gaussian noise (AWGN) channel with possible feedback, it has been shown that as sampling gets infinitesimally fine, the mutual information of the associative discrete-time channels converges to that of…

Information Theory · Computer Science 2020-08-26 Guangyue Han , Shlomo Shamai

Biochemical signal transduction, a form of molecular communication, can be modeled using graphical Markov channels with input-modulated transition rates. Such channel models are strongly non-Gaussian. In this paper we use a linear noise…

Quantitative Methods · Quantitative Biology 2019-08-30 Gregory R. Hessler , Andrew W. Eckford , Peter J. Thomas

This paper revisits the definition of linear time-invariant (LTI) stochastic process within a behavioral systems framework. Building on [Willems, 2013], we derive a canonical representation of an LTI stochastic process and a physically…

Systems and Control · Computer Science 2017-04-10 Giacomo Baggio , Rodolphe Sepulchre
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