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We present novel data-processing inequalities relating the mutual information and the directed information in systems with feedback. The internal blocks within such systems are restricted only to be causal mappings, but are allowed to be…

Information Theory · Computer Science 2021-05-12 Milan S. Derpich , Jan Østergaard

The error exponent of Markov channels with feedback is studied in the variable-length block-coding setting. Burnashev's classic result is extended and a single letter characterization for the reliability function of finite-state Markov…

Information Theory · Computer Science 2016-09-08 Giacomo Como , Serdar Yuksel , Sekhar Tatikonda

BATS codes were proposed for communication through networks with packet loss. A BATS code consists of an outer code and an inner code. The outer code is a matrix generation of a fountain code, which works with the inner code that comprises…

Information Theory · Computer Science 2016-02-15 Shenghao Yang , Tsz-Ching Ng , Raymond W. Yeung

In this paper, we investigate problems of communication over physically degraded, state-dependent broadcast channels (BCs) with cooperating decoders. Two different setups are considered and their capacity regions are characterized. First,…

Information Theory · Computer Science 2014-05-21 Lior Dikstein , Haim H. Permuter , Yossef Steinberg

In this letter, we evaluate the finite-length performance of network coding when using either random or structured encoding matrices. First, we present our novel construction of structured network codes over Fq (q = 2^m) using Pascal…

Networking and Internet Architecture · Computer Science 2019-11-28 Tan Do-Duy , M. Angeles Vazquez-Castro

A sender holds a word x consisting of n blocks x_i, each of t bits, and wishes to broadcast a codeword to m receivers, R_1,...,R_m. Each receiver R_i is interested in one block, and has prior side information consisting of some subset of…

Information Theory · Computer Science 2008-06-20 Noga Alon , Avinatan Hasidim , Eyal Lubetzky , Uri Stav , Amit Weinstein

Quantum communications promises reliable transmission of quantum information, efficient distribution of entanglement and generation of completely secure keys. For all these tasks, we need to determine the optimal point-to-point rates that…

Quantum Physics · Physics 2017-04-27 Stefano Pirandola , Riccardo Laurenza , Carlo Ottaviani , Leonardo Banchi

This paper studies a special class of multicast index coding problems where a sender transmits messages to multiple receivers, each with some side information. Here, each receiver knows a unique message a priori, and there is no restriction…

Information Theory · Computer Science 2012-12-04 Lawrence Ong , Chin Keong Ho

A bound on the maximum information transmission rate through a cascade of Gaussian links is presented. The network model consists of a source node attempting to send a message drawn from a finite alphabet to a sink, through a cascade of…

Information Theory · Computer Science 2013-01-29 Ramanan Subramanian , Badri Vellambi , Ingmar Land

We consider a distributed source coding system in which several observations are communicated to the decoder using limited transmission rate. The observations must be separately coded. We introduce a robust distributed coding scheme which…

Information Theory · Computer Science 2007-07-13 Jun Chen , Toby Berger

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2019-06-25 Mohammad Vahid Jamali , Mahdi Soleymani , Hessam Mahdavifar

In theory coordinated multi-point transmission (CoMP) promises vast gains in spectral efficiency. But industrial field trials show rather disappointing throughput gains, whereby the major limiting factor is proper sharing of channel state…

Information Theory · Computer Science 2016-11-18 Jan Schreck , Gerhard Wunder , Peter Jung

We propose an approach where each user independently seeks to minimize the amount of time that they occupy the channel. Essentially, we seek to minimize the number of transmitted symbols required to communicate a packet assuming…

Information Theory · Computer Science 2014-10-14 Chung-Yu Lou , Babak Daneshrad , Richard D. Wesel

In applications such as remote estimation and monitoring, update packets are transmitted by power-constrained devices using short-packet codes over wireless networks. Therefore, networks need to be end-to-end optimized using information…

Information Theory · Computer Science 2023-12-05 Sudarsanan A. K. , Vineeth B. S. , Chandra R. Murthy

Low-capacity scenarios have become increasingly important in the technology of the Internet of Things (IoT) and the next generation of wireless networks. Such scenarios require efficient and reliable transmission over channels with an…

Information Theory · Computer Science 2023-02-07 Mohammad Fereydounian , Hamed Hassani , Mohammad Vahid Jamali , Hessam Mahdavifar

We consider data transmission across discrete memoryless channels (DMCs) using variable-length codes with feedback. We consider the family of such codes whose rates are $\rho_N$ below the channel capacity $C$, where $\rho_N$ is a positive…

Information Theory · Computer Science 2018-05-17 Lan V. Truong , Vincent Y. F. Tan

The problem of distributed testing against independence with variable-length coding is considered when the \emph{average} and not the \emph{maximum} communication load is constrained as in previous works. The paper characterizes the optimum…

Information Theory · Computer Science 2020-05-19 Sadaf Salehkalaibar , Michele Wigger

We study channel simulation under common randomness assistance in the finite-blocklength regime and identify the smooth channel max-information as a linear program one-shot converse on the minimal simulation cost for fixed error tolerance.…

Information Theory · Computer Science 2024-10-10 Michael X. Cao , Navneeth Ramakrishnan , Mario Berta , Marco Tomamichel

This paper presents generalized channel coding theorems for a time-slotted distributed communication system where a transmitter-receiver pair is communicating in parallel with other transmitters. Assume that the channel code of each…

Information Theory · Computer Science 2016-11-15 Jie Luo

We consider the \emph{functional index coding problem} over an error-free broadcast network in which a source generates a set of messages and there are multiple receivers, each holding a set of functions of source messages in its cache,…

Information Theory · Computer Science 2015-11-10 Anindya Gupta , B. Sundar Rajan