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In this paper, we use entropy functions to characterise the set of rate-capacity tuples achievable with either zero decoding error, or vanishing decoding error, for general network coding problems. We show that when sources are colocated,…

Information Theory · Computer Science 2015-03-19 Terence H. Chan , Alex Grant

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

In this work, we introduce convolutional codes for network-error correction in the context of coherent network coding. We give a construction of convolutional codes that correct a given set of error patterns, as long as consecutive errors…

Information Theory · Computer Science 2009-08-06 K. Prasad , B. Sundar Rajan

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

Error correction code is a major part of the communication physical layer, ensuring the reliable transfer of data over noisy channels. Recently, neural decoders were shown to outperform classical decoding techniques. However, the existing…

Machine Learning · Computer Science 2022-03-30 Yoni Choukroun , Lior Wolf

The problem of error control in random linear network coding is addressed from a matrix perspective that is closely related to the subspace perspective of K\"otter and Kschischang. A large class of constant-dimension subspace codes is…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang , Ralf Kötter

In this paper, for the purposes of information transmission and network error correction simultaneously, three classes of important linear network codes in network coding, linear multicast/broadcast/dispersion codes are generalized to…

Information Theory · Computer Science 2013-02-19 Xuan Guang , Fang-Wei Fu

The capacity of line networks with buffer size constraints is an open, but practically important problem. In this paper, the upper bound on the achievable rate of a class of codes, called batched codes, is studied for line networks. Batched…

Information Theory · Computer Science 2022-05-06 Shenghao Yang , Jie Wang

This work identifies the fundamental limits of cache-aided coded multicasting in the presence of the well-known `worst-user' bottleneck. This stems from the presence of receiving users with uneven channel capacities, which often forces the…

Information Theory · Computer Science 2020-01-07 Eleftherios Lampiris , Jingjing Zhang , Osvaldo Simeone , Petros Elia

The problem of stabilizing an unstable plant over a noisy communication link is an increasingly important one that arises in applications of networked control systems. Although the work of Schulman and Sahai over the past two decades, and…

Information Theory · Computer Science 2012-02-28 Ravi Teja Sukhavasi , Babak Hassibi

In this paper, we study the coding delay and the average coding delay of random linear network codes (dense codes) over line networks with deterministic regular and Poisson transmission schedules. We consider both lossless networks and…

Information Theory · Computer Science 2012-02-03 Anoosheh Heidarzadeh , Amir H. Banihashemi

This paper characterizes the secret message capacity of three networks where two unicast sessions share some of the communication resources. Each network consists of erasure channels with state feedback. A passive eavesdropper is assumed to…

Information Theory · Computer Science 2018-10-16 Gaurav Kumar Agarwal , Martina Cardone , Christina Fragouli

As the mobile application landscape expands, wireless networks are tasked with supporting various connection profiles, including real-time communications and delay-sensitive traffic. Among many ensuing engineering challenges is the need to…

Information Theory · Computer Science 2012-02-13 Fatemeh Hamidi-Sepehr , Jean-Francois Chamberland , Henry Pfister

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

Information Theory · Computer Science 2021-11-17 Nir Weinberger

We address the problem of optimizing the throughput of network coded traffic in mobile networks operating in challenging environments where connectivity is intermittent and locally available memory space is limited. Random linear network…

Information Theory · Computer Science 2011-04-19 Gabriel Popa

In order to communicate a message over a noisy channel, a sender (Alice) uses an error-correcting code to encode her message $x$ into a codeword. The receiver (Bob) decodes it correctly whenever there is at most a small constant fraction of…

Information Theory · Computer Science 2024-07-10 Meghal Gupta , Venkatesan Guruswami , Mihir Singhal

We consider the problem of solving a distributed optimization problem using a distributed computing platform, where the communication in the network is limited: each node can only communicate with its neighbours and the channel has a…

Systems and Control · Computer Science 2015-04-10 Ye Pu , Melanie N. Zeilinger , Colin N. Jones

Efficient communication in wireless networks is typically challenged by the possibility of interference among several transmitting nodes. Much important research has been invested in decreasing the number of collisions in order to obtain…

Networking and Internet Architecture · Computer Science 2012-08-31 Keren Censor-Hillel , Bernhard Haeupler , Nancy Lynch , Muriel Médard

The capacity of a class of multi-way relay channels, where L users communicate via a relay (at possibly different rates), is derived for the case where the channel outputs are modular sums of the channel inputs and the receiver noise. The…

Information Theory · Computer Science 2011-11-16 Lawrence Ong , Sarah J. Johnson , Christopher M. Kellett

Real-time applications require latencies on the order of a millisecond with very high reliabilities, paralleling the requirements for high-performance industrial control. Current wireless technologies like WiFi, Bluetooth, LTE, etc. are…

Information Theory · Computer Science 2018-03-15 Vasuki Narasimha Swamy , Paul Rigge , Gireeja Ranade , Anant Sahai , Borivoje Nikolic
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