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We consider finite state channels (FSCs) with feedback and state information known causally at the encoder. This setting is quite general and includes: a memoryless channel with i.i.d. state (the Shannon strategy), Markovian states that…

Information Theory · Computer Science 2022-12-27 Eli Shemuel , Oron Sabag , Haim H. Permuter

This paper investigates the capacity of finite-state channels (FSCs) with feedback. We derive an upper bound on the feedback capacity of FSCs by extending the duality upper bound method from mutual information to the case of directed…

Information Theory · Computer Science 2024-01-12 Bashar Huleihel , Oron Sabag , Ziv Aharoni , Haim H. Permuter

We study the communication over Finite State Channels (FSCs), where the encoder and the decoder can control the availability or the quality of the noise-free feedback. Specifically, the instantaneous feedback is a function of an action…

Information Theory · Computer Science 2016-11-18 Himanshu Asnani , Haim Permuter , Tsachy Weissman

Noncontrollable finite-state channels (FSCs) are FSCs in which the channel inputs have no influence on the channel states, i.e., the channel states evolve freely. Since single-letter formulae for the channel capacities are rarely available…

Information Theory · Computer Science 2016-11-18 Xiujie Huang , Aleksandar Kavcic , Xiao Ma

We consider finite state channels where the state of the channel is its previous output. We refer to these as POST (Previous Output is the STate) channels. We first focus on POST($\alpha$) channels. These channels have binary inputs and…

Information Theory · Computer Science 2013-09-24 Haim H. Permuter , Himanshu Asnani , Tsachy Weissman

We consider capacity of discrete-time channels with feedback for the general case where the feedback is a time-invariant deterministic function of the output samples. Under the assumption that the channel states take values in a finite…

Information Theory · Computer Science 2009-09-29 Haim Permuter , Tsachy Weissman , Andrea Goldsmith

The capacity of finite state channels (FSCs) with feedback has been shown to be a limit of a sequence of multi-letter expressions. Despite many efforts, a closed-form single-letter capacity characterization is unknown to date. In this…

Information Theory · Computer Science 2022-02-07 Andrea Grigorescu , Holger Boche , Rafael F. Schaefer , H. Vincent Poor

An upper bound on the feedback capacity of unifilar finite-state channels (FSCs) is derived. A new technique, called the $Q$-contexts, is based on a construction of a directed graph that is used to quantize recursively the receiver's output…

Information Theory · Computer Science 2016-04-08 Oron Sabag , Haim H. Permuter , Henry D. Pfister

In this technical report, the capacity region of the two-user linear deterministic (LD) interference channel with noisy output feedback (IC-NOF) is fully characterized. This result allows the identification of several asymmetric scenarios…

Information Theory · Computer Science 2016-11-16 Victor Quintero , Samir M. Perlaza , Jean-Marie Gorce

In this paper, the capacity region of the two-user linear deterministic (LD) interference channel with noisy output feedback (IC-NOF) is fully characterized. This result allows the identification of several asymmetric scenarios in which…

Information Theory · Computer Science 2016-11-18 Victor Quintero , Samir M. Perlaza , Jean-Marie Gorce

Computing channel capacity is in general intractable because it is given by the limit of a sequence of optimization problems whose dimensionality grows to infinity. As a result, constant-sized characterizations of feedback or non-feedback…

Information Theory · Computer Science 2025-07-15 Eray Unsal Atay , Eitan Levin , Venkat Chandrasekaran , Victoria Kostina

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

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

The capacity region of the Finite-State Multiple Access Channel (FS-MAC) with feedback that may be an arbitrary time-invariant function of the channel output samples is considered. We characterize both an inner and an outer bound for this…

Information Theory · Computer Science 2009-11-23 Haim Permuter , Tsachy Weissman

This paper considers the derivative of the entropy rate of a hidden Markov process with respect to the observation probabilities. The main result is a compact formula for the derivative that can be evaluated easily using Monte Carlo…

Information Theory · Computer Science 2010-01-11 Henry D. Pfister

The non-signaling (NS) assisted capacity of a classical channel with causal channel state information at the transmitter (CSIT) is shown to be $C^{NS,ca}=\max_{P_{X|S}}I(X;Y\mid S)$, where $X, Y, S$ correspond to the input, output and state…

Information Theory · Computer Science 2026-02-13 Yuhang Yao , Syed A. Jafar

A class of burst noise-erasure channels which incorporate both errors and erasures during transmission is studied. The channel, whose output is explicitly expressed in terms of its input and a stationary ergodic noise-erasure process, is…

Information Theory · Computer Science 2017-05-05 Lin Song , Fady Alajaji , Tamás Linder

The capacity of a time-varying block-memoryless channel in which the transmitter and the receiver have access to (possibly different) noisy causal channel side information (CSI) is obtained. It is shown that the capacity formula obtained in…

Information Theory · Computer Science 2008-06-09 Hamid Farmanbar , Amir K. Khandani

It is known that for a discrete channel with correlated additive noise, the ordinary capacity with or without feedback both equal $ \log q-\mathcal{H} (Z) $, where $ \mathcal{H}(Z) $ is the entropy rate of the noise process $ Z $ and $ q $…

Information Theory · Computer Science 2020-06-02 Amir Saberi , Farhad Farokhi , Girish N. Nair

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
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