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A coding theorem is proved for a class of stationary channels with feedback in which the output Y_n = f(X_{n-m}^n, Z_{n-m}^n) is the function of the current and past m symbols from the channel input X_n and the stationary ergodic channel…

Information Theory · Computer Science 2007-07-13 Young-Han Kim

We consider a communication scenario over a discrete memoryless interference channel or multiple access channel without feedback, where transmitters exploit classical, quantum, or no-signaling cooperation. In this scenario, several previous…

Quantum Physics · Physics 2026-01-05 Seung-Hyun Nam , Hyun-Young Park , Jiyoung Yun , Ashutosh Rai , Si-Hyeon Lee , Joonwoo Bae

We investigate how to exploit intermittent feedback for interference management. Focusing on the two-user linear deterministic interference channel, we completely characterize the capacity region. We find that the characterization only…

Information Theory · Computer Science 2016-11-17 Can Karakus , I-Hsiang Wang , Suhas Diggavi

We study non-asymptotic fundamental limits for transmitting classical information over memoryless quantum channels, i.e. we investigate the amount of classical information that can be transmitted when a quantum channel is used a finite…

Quantum Physics · Physics 2015-05-20 Marco Tomamichel , Vincent Y. F. Tan

We consider the discrete, time-varying broadcast channel with memory under the assumption that the channel states belong to a set of finite cardinality. We first define the physically degraded finite-state broadcast channel for which we…

Information Theory · Computer Science 2008-03-12 Ron Dabora , Andrea Goldsmith

Feedback control actively dissipates uncertainty from a dynamical system by means of actuation. We develop a notion of "control capacity" that gives a fundamental limit (in bits) on the rate at which a controller can dissipate the…

Information Theory · Computer Science 2017-01-17 Gireeja Ranade , Anant Sahai

The capability of a given channel to communicate information is, a priori, distinct from its capability to distribute shared randomness. In this article we define randomness distribution capacities of quantum channels assisted by forward,…

Quantum Physics · Physics 2018-05-22 Raul Garcia-Patron , William Matthews , Andreas Winter

This paper deals with the multiplicative finite-field matrix channel, a discrete memoryless channel whose input and output are matrices (over a finite field) related by a multiplicative transfer matrix. The model considered here assumes…

Information Theory · Computer Science 2013-04-19 Roberto W. Nóbrega , Danilo Silva , Bartolomeu F. Uchôa-Filho

For a stationary additive Gaussian-noise channel with a rational noise power spectrum of a finite-order $L$, we derive two new results for the feedback capacity under an average channel input power constraint. First, we show that a very…

Information Theory · Computer Science 2007-07-13 Shaohua Yang , Aleksandar Kavcic , Sekhar Tatikonda

Evaluating the channel capacity is one of many key problems in information theory. In this work we derive rather-mild sufficient conditions under which the capacity is finite and achievable. These conditions are derived for generic,…

Information Theory · Computer Science 2015-12-18 Jihad Fahs , Ibrahim Abou-Faycal

Motivated by on-chip communication, a channel model is proposed where the variance of the additive noise depends on the weighted sum of the past channel input powers. For this channel, an expression for the capacity per unit cost is…

Information Theory · Computer Science 2007-07-13 Tobias Koch , Amos Lapidoth , Paul P. Sotiriadis

We propose two coding schemes for discrete memoryless broadcast channels (DMBCs) with rate-limited feedback from only one receiver. For any positive feedback rate and for the class of strictly less-noisy DMBCs, our schemes strictly improve…

Information Theory · Computer Science 2013-07-23 Youlong Wu , Michèle Wigger

We study finite alphabet channels with Unit Memory on the previous Channel Outputs called UMCO channels. We identify necessary and sufficient conditions, to test whether the capacity achieving channel input distributions with feedback are…

Information Theory · Computer Science 2017-01-05 Christos K. Kourtellaris , Charalambos D. Charalambous , Ioannis Tzortzis

We investigate state estimation of linear systems over channels having a finite state not known by the transmitter or receiver. We show that similar to memoryless channels, zero-error capacity is the right figure of merit for achieving…

Systems and Control · Electrical Eng. & Systems 2021-10-06 Amir Saberi , Farhad Farokhi , Girish N. Nair

In the binary online (or "causal") channel coding model, a sender wishes to communicate a message to a receiver by transmitting a codeword $\mathbf{x} =(x_1,\ldots,x_n) \in \{0,1\}^n$ bit by bit via a channel limited to at most $pn$…

Information Theory · Computer Science 2014-12-22 Zitan Chen , Sidharth Jaggi , Michael Langberg

We model biochemical signal transduction, based on a ligand-receptor binding mechanism, as a discrete-time finite-state Markov channel, which we call the BIND channel. We show how to obtain the capacity of this channel, for the case of…

Molecular Networks · Quantitative Biology 2016-11-15 Peter J. Thomas , Andrew W. Eckford

The upper bound on the capacity of a 3-node discrete memoryless relay channel is considered, where a source X wants to send information to destination Y with the help of a relay Z. Y and Z are independent given X, and the link from Z to Y…

Information Theory · Computer Science 2012-10-26 Feng Xue

Every channel can be expressed as a convex combination of deterministic channels with each deterministic channel corresponding to one particular intrinsic state. Such convex combinations are in general not unique, each giving rise to a…

Information Theory · Computer Science 2020-04-28 Shengtian Yang , Rui Xu , Jun Chen , Jian-Kang Zhang

We address the problem of correcting a single error in an arbitrary discrete memoryless channel with error-free instantaneous feedback. For the case of a one-time feedback, we propose a method for constructing optimal transmission…

Information Theory · Computer Science 2023-01-06 Ilya Vorobyev , Alexey Lebedev , Vladimir Lebedev , Christian Deppe

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
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