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In this paper, we investigate the capacity of finite-state channels (FSCs) in presence of delayed feedback. We show that the capacity of a FSC with delayed feedback can be computed as that of a new FSC with instantaneous feedback and an…

Information Theory · Computer Science 2024-06-25 Bashar Huleihel , Oron Sabag , Haim H. Permuter , Victoria Kostina

In this work we find the capacity of a compound finite-state channel with time-invariant deterministic feedback. The model we consider involves the use of fixed length block codes. Our achievability result includes a proof of the existence…

Information Theory · Computer Science 2016-11-15 Brooke Shrader , Haim Permuter

We consider the continuous-time ARMA(1,1) Gaussian channel and derive its feedback capacity in closed form. More specifically, the channel is given by $\boldsymbol{y}(t) =\boldsymbol{x}(t) +\boldsymbol{z}(t)$, where the channel input…

Information Theory · Computer Science 2024-04-11 Jun Su , Guangyue Han , Shlomo Shamai

We consider the arbitrarily varying Gaussian relay channel with sender frequency division. We determine the random code capacity, and establish lower and upper bounds on the deterministic code capacity. It is observed that when the channel…

Information Theory · Computer Science 2018-06-01 Uzi Pereg , Yossef Steinberg

A formula is derived for the capacity of the Gaussian channel with a benevolent message-cognizant rate-limited helper that provides a noncausal description of the noise to the encoder and decoder. This capacity is strictly larger than when…

Information Theory · Computer Science 2023-10-25 Amos Lapidoth , Ligong Wang , Yiming Yan

Deterministic identification (DI) has emerged as a promising paradigm for large-scale and goal-oriented communication systems. Despite significant progress, a fundamental open problem has remained unresolved: a persistent gap between the…

Information Theory · Computer Science 2026-04-14 Pau Colomer , Christian Deppe , Holger Boche , Andreas Winter

Feedback communication is studied from a control-theoretic perspective, mapping the communication problem to a control problem in which the control signal is received through the same noisy channel as in the communication problem, and the…

Information Theory · Computer Science 2010-06-29 Ehsan Ardestanizadeh , Massimo Franceschetti

The input-constrained binary erasure channel (BEC) with strictly causal feedback is studied. The channel input sequence must satisfy the $(0,k)$-runlength limited (RLL) constraint, i.e., no more than $k$ consecutive `$0$'s are allowed. The…

Information Theory · Computer Science 2017-12-08 Ori Peled , Oron Sabag , Haim H. Permuter

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

It is well known that, in general, feedback may enlarge the capacity region of Gaussian broadcast channels. This has been demonstrated even when the feedback is noisy (or partial-but-perfect) and only from one of the receivers. The only…

Information Theory · Computer Science 2015-02-18 Sibi Raj B. Pillai , Vinod M. Prabhakaran

This paper studies implicit communication in linear quadratic Gaussian control systems. We show that the control system itself can serve as an implicit communication channel, enabling the controller to transmit messages through its inputs…

Information Theory · Computer Science 2025-11-19 Gongpu Chen , Deniz Gunduz

We study communication over control systems, where a controller-encoder selects inputs to a dynamical system in order to simultaneously regulate the system and convey a message to an observer that has access to the system's output…

Information Theory · Computer Science 2025-09-23 Aharon Rips , Oron Sabag

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 characterize the capacity region to within log{2(M-1)} bits/s/Hz for the M-transmitter K-receiver Gaussian multicast channel with feedback where each receiver wishes to decode every message from the M transmitters. Extending…

Information Theory · Computer Science 2012-05-21 Changho Suh , Naveen Goela , Michael Gastpar

The capacity region of the N-sender Gaussian multiple access channel with feedback is not known in general. This paper studies the class of linear-feedback codes that includes (nonlinear) nonfeedback codes at one extreme and the…

Information Theory · Computer Science 2011-06-06 Ehsan Ardestanizadeh , Michele A. Wigger , Young-Han Kim , Tara Javidi

This paper adds to the understanding of the capacity region of the Gaussian interference channel. To this end, the capacity region of the one-sided Gaussian interference channel is first fully characterized. This is accomplished by…

Information Theory · Computer Science 2015-09-22 Mojtaba Vaezi , H. Vincent Poor

We consider a three-terminal state-dependent relay channel with the channel state available non-causally at only the source. Such a model may be of interest for node cooperation in the framework of cognition, i.e., collaborative signal…

Information Theory · Computer Science 2016-11-17 Abdellatif Zaidi , Shlomo Shamai , Pablo Piantanida , Luc Vandendorpe

Consider a Gaussian relay network where a number of sources communicate to a destination with the help of several layers of relays. Recent work has shown that a compress-and-forward based strategy at the relays can achieve the capacity of…

Information Theory · Computer Science 2013-04-30 Ritesh Kolte , Ayfer Özgür

Optimal coding over the additive white Gaussian noise channel under the peak energy constraint is studied when there is noisy feedback over an orthogonal additive white Gaussian noise channel. As shown by Pinsker, under the peak energy…

Information Theory · Computer Science 2011-08-19 Yu Xiang , Young-Han Kim

In this paper, we propose capacity-achieving communication schemes for Gaussian finite-state Markov channels (FSMCs) subject to an average channel input power constraint, under the assumption that the transmitters can have access to delayed…

Information Theory · Computer Science 2016-11-18 Jialing Liu , Nicola Elia , Sekhar Tatikonda