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Polar codes are introduced for discrete memoryless broadcast channels. For $m$-user deterministic broadcast channels, polarization is applied to map uniformly random message bits from $m$ independent messages to one codeword while…

Information Theory · Computer Science 2015-04-15 Naveen Goela , Emmanuel Abbe , Michael Gastpar

A minimal model for gene expression, consisting of a switchable promoter together with the resulting messenger RNA, is equivalent to a Poisson channel with a binary Markovian input process. Determining its capacity is an optimization…

Molecular Networks · Quantitative Biology 2021-01-06 Mark Sinzger , Maximilian Gehri , Heinz Koeppl

We develop a systematic approach, based on convex programming and real analysis, for obtaining upper bounds on the capacity of the binary deletion channel and, more generally, channels with i.i.d. insertions and deletions. Other than the…

Information Theory · Computer Science 2018-06-12 Mahdi Cheraghchi

Motivated by the application of point-to-point communication networks and biological storage, we investigate new achievability bounds for noisy permutation channels with strictly positive and full-rank square matrices. Our new bounds use…

Information Theory · Computer Science 2025-01-24 Lugaoze Feng , Xunan Li , Guocheng Lv , Ye jin

In this paper we consider the two-user broadcast channel and we characterize its stable throughout region. We start the analysis by providing the stability region for the general case without any specific considerations on transmission and…

Information Theory · Computer Science 2016-04-29 Nikolaos Pappas , Marios Kountouris , Anthony Ephremides , Vangelis Angelakis

Previous work on the classical information capacities of bosonic channels has established the capacity of the single-user pure-loss channel, bounded the capacity of the single-user thermal-noise channel, and bounded the capacity region of…

Quantum Physics · Physics 2009-11-13 Saikat Guha , Jeffrey H. Shapiro , Baris I. Erkmen

The goal of this paper is two-fold. First, to establish a tractable model for the underwater acoustic channel useful for network optimization in terms of convexity. Second, to propose a network coding based lower bound for transmission…

Information Theory · Computer Science 2008-09-02 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

We develop a new method for showing the optimality of the Gaussian distribution in multiterminal information theory problems. As an application of this method we show that Marton's inner bound achieves the capacity of the vector Gaussian…

Information Theory · Computer Science 2012-02-02 Yanlin Geng , Chandra Nair

This paper investigates the capacity region of the optical intensity broadcast channels (OI-BCs), where the input is subject to a peak-intensity constraint, an average-intensity constraint, or both. By leveraging the decomposition results…

Information Theory · Computer Science 2023-03-02 Sufang Yang , Longguang Li , Jintao Wang

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages to two receivers, while a wire-tapper also receives the transmitted signal. This model is motivated by wireless communications, where…

Information Theory · Computer Science 2009-10-20 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

This paper introduces a quantitative generalization of the ``more capable'' comparison of broadcast channels, which is termed ``more capable with advantage''. Some basic properties are demonstrated (including tensorization on product…

Information Theory · Computer Science 2024-01-26 Donald Kougang-Yombi , Jan Hązła

Deterministic identification (DI) for the discrete-time Poisson channel, subject to an average and a peak power constraint, is considered. It is established that the code size scales as $2^{(n\log n)R}$, where $n$ and $R$ are the block…

Information Theory · Computer Science 2021-09-29 Mohammad J. Salariseddigh , Uzi Pereg , Holger Boche , Christian Deppe , Robert Schober

We propose an iterative method for approximately computing the capacity of discrete memoryless channels, possibly under additional constraints on the input distribution. Based on duality of convex programming, we derive explicit upper and…

Information Theory · Computer Science 2015-04-06 Tobias Sutter , David Sutter , Peyman Mohajerin Esfahani , John Lygeros

Random coding arguments are the backbone of most channel capacity achievability proofs. In this paper, we show that in their standard form, such arguments are insufficient for proving some network capacity theorems: structured coding…

Information Theory · Computer Science 2008-02-05 Bobak Nazer , Michael Gastpar

We present a family of additive quantum error-correcting codes whose capacities exceeds that of quantum random coding (hashing) for very noisy channels. These codes provide non-zero capacity in a depolarizing channel for fidelity parameters…

Quantum Physics · Physics 2009-10-30 David P. DiVincenzo , Peter W. Shor , John A. Smolin

Identification capacity has been established as a relevant performance metric for various goal-/task-oriented applications, where the receiver may be interested in only a particular message that represents an event or a task. For example,…

Information Theory · Computer Science 2025-08-27 Mohammad Javad Salariseddigh , Heinz Koeppl , Holger Boche , Vahid Jamali

Superposition codes are efficient for the Additive White Gaussian Noise channel. We provide here a replica analysis of the performances of these codes for large signals. We also consider a Bayesian Approximate Message Passing decoder based…

Information Theory · Computer Science 2014-10-03 Jean Barbier , Florent Krzakala

We address the problem of coding for classical broadcast channels, which entails maximizing the success probability that can be achieved by sending a fixed number of messages over a broadcast channel. For point-to-point channels, Barman and…

Information Theory · Computer Science 2024-12-10 Omar Fawzi , Paul Fermé

This paper considers the transmission of an infinite sequence of messages (a streaming source) over a packet erasure channel, where every source message must be recovered perfectly at the destination subject to a fixed decoding delay. While…

Information Theory · Computer Science 2020-05-14 Elad Domanovitz , Silas L. Fong , Ashish Khisti

In this paper, we characterize the stability region of the two-user broadcast channel. First, we obtain the stability region in the general case. Second, we consider the particular case where each receiver treats the interfering signal as…

Information Theory · Computer Science 2016-02-24 Nikolaos Pappas , Marios Kountouris