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Related papers: On the Non-Adaptive Zero-Error Capacity of the Dis…

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The Shannon upper bound places a limit on the error-free information transmission rate (capacity) of a noisy channel. It has stood for over sixty years, and underlies both theoretical and practical work in the telecommunications industry.…

Information Theory · Computer Science 2017-05-08 Jon Montalban , Jon Barrueco , Pablo Angueira , Jerrold D. Prothero

We consider a multiple-input, multiple-output (MIMO) wideband Rayleigh block fading channel where the channel state is unknown to both the transmitter and the receiver and there is only an average power constraint on the input. We compute…

Information Theory · Computer Science 2007-07-13 Siddharth Ray , Muriel Medard , Lizhong Zheng

We investigate the performance of parallel and adaptive quantum channel discrimination strategies for a finite number of channel uses. It has recently been shown that, in the asymmetric setting with asymptotically vanishing type I error…

Quantum Physics · Physics 2024-03-28 Bjarne Bergh , Nilanjana Datta , Robert Salzmann , Mark M. Wilde

We begin a systematic study of the problem of the zero--error capacity of noisy binary channels with memory and solve some of the non--trivial cases.

Combinatorics · Mathematics 2016-02-22 Gérard Cohen , Emanuela Fachini , János Körner

This paper studies the capacity of single-source single-sink noiseless networks under adversarial or arbitrary errors on no more than z edges. Unlike prior papers, which assume equal capacities on all links, arbitrary link capacities are…

Information Theory · Computer Science 2010-11-18 Sukwon Kim , Tracey Ho , Michelle Effros , Amir Salman Avestimehr

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

Motivated by the problem of zero-error broadcasting, we introduce a new notion of graph capacity, termed $\rho$-capacity, that generalizes the Shannon capacity of a graph. We derive upper and lower bounds on the $\rho$-capacity of arbitrary…

Information Theory · Computer Science 2017-03-21 Sihuang Hu , Ofer Shayevitz

This paper examines the maximum code rate achievable by a data-driven communication system over some unknown discrete memoryless channel in the finite blocklength regime. A class of channel codes, called learning-based channel codes, is…

Information Theory · Computer Science 2023-07-18 Neil Irwin Bernardo , Jingge Zhu , Jamie Evans

An outer bound to the two-receiver discrete memoryless broadcast channel is presented. We compare it to the known outer bounds and show that the outer bound presented is at least as tight as the existing bounds.

Information Theory · Computer Science 2008-07-24 Chandra Nair

In a three-node network a half-duplex relay node enables bidirectional communication between two nodes with a spectral efficient two phase protocol. In the first phase, two nodes transmit their message to the relay node, which decodes the…

Information Theory · Computer Science 2016-11-17 Tobias J. Oechtering , Igor Bjelakovic , Clemens Schnurr , Holger Boche

We introduce a new analysis technique to derive a single-letter upper bound on the mismatch capacity of a stationary, single-user, memoryless channel with a decoding metric $q$. Our bound is obtained by considering a multicast transmission…

Information Theory · Computer Science 2021-03-29 Anelia Somekh-Baruch

We investigate the classical communication over quantum channels when assisted by no-signaling (NS) and positive-partial-transpose-preserving (PPT) codes, for which both the optimal success probability of a given transmission rate and the…

Quantum Physics · Physics 2018-07-16 Xin Wang , Wei Xie , Runyao Duan

We consider the problem of determining asymptotic bounds on the capacity of a random ad hoc network. Previous approaches assumed a link layer model in which if a transmitter-receiver pair can communicate with each other, i.e., the Signal to…

Information Theory · Computer Science 2008-11-24 Vivek P. Mhatre , Catherine P. Rosenberg , Ravi R. Mazumdar

In this work, a new upper bound for average error probability of a two-user discrete memoryless (DM) multiple-access channel (MAC) is derived. This bound can be universally obtained for all discrete memoryless MACs with given input and…

Information Theory · Computer Science 2009-01-09 Ali Nazari , Achilleas Anastasopoulos , S. Sandeep Pradhan

This paper considers delay-limited communication over quasi-static fading channels under a long-term power constraint. A sequence of length-$n$ delay-limited codes for a quasi-static fading channel is said to be capacity-achieving if the…

Information Theory · Computer Science 2016-11-15 Silas L. Fong , Vincent Y. F. Tan

We study error exponents for the problem of low-rate communication over a directed graph, where each edge in the graph represents a noisy communication channel, and there is a single source and destination. We derive maxflow-based…

Information Theory · Computer Science 2023-04-06 Yan Hao Ling , Jonathan Scarlett

This paper concerns the capacity of the discrete noiseless channel introduced by Shannon. A sufficient condition is given for the capacity to be well-defined. For a general discrete noiseless channel allowing non-integer valued symbol…

Information Theory · Computer Science 2010-06-11 Georg Bocherer , Valdemar Cardoso da Rocha Junior , Cecilio Pimentel

A new inner bound on the capacity region of a general index coding problem is established. Unlike most existing bounds that are based on graph theoretic or algebraic tools, the bound is built on a random coding scheme and optimal decoding,…

Information Theory · Computer Science 2016-11-15 Fatemeh Arbabjolfaei , Bernd Bandemer , Young-Han Kim , Eren Sasoglu , Lele Wang

The Shannon capacity of a graph G is the maximum asymptotic rate at which messages can be sent with zero probability of error through a noisy channel with confusability graph G. This extensively studied graph parameter disregards the fact…

Quantum Physics · Physics 2014-03-05 Jop Briet , Harry Buhrman , Dion Gijswijt

This paper studies the problem of secure communication over the broadcast channel with receiver side information under the lens of individual secrecy constraints. That is, the transmitter wants to send two independent messages to two…

Information Theory · Computer Science 2015-02-26 Yanling Chen , O. Ozan Koyluoglu , Aydin Sezgin