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We continue the study of rateless codes for transmission of information across channels whose rate of erasure is unknown. In such a code, an infinite stream of encoding symbols can be generated from the message and sent across the erasure…

Information Theory · Computer Science 2021-01-28 Shashwat Silas

We consider a simple network, where a source and destination node are connected with a line of erasure channels. It is well known that in order to achieve the min-cut capacity, the intermediate nodes are required to process the information.…

Information Theory · Computer Science 2016-11-17 Payam Pakzad , Christina Fragouli , Amin Shokrollahi

We consider the source-channel separation architecture for lossy source coding in communication networks. It is shown that the separation approach is optimal in two general scenarios, and is approximately optimal in a third scenario. The…

Information Theory · Computer Science 2013-12-04 Chao Tian , Jun Chen , Suhas Diggavi , Shlomo Shamai

Streaming codes are a class of packet-level erasure codes that ensure packet recovery over a sliding window channel which allows either a burst erasure of size $b$ or $a$ random erasures within any window of size $(\tau+1)$ time units,…

Information Theory · Computer Science 2021-05-11 Myna Vajha , Vinayak Ramkumar , M. Nikhil Krishnan , P. Vijay Kumar

This paper provides simple lower bounds on the number of iterations which is required for successful message-passing decoding of some important families of graph-based code ensembles (including low-density parity-check codes and variations…

Information Theory · Computer Science 2007-11-08 Igal Sason , Gil Wiechman

Physical-layer Network Coding (PNC) can significantly improve the throughput of wireless two way relay channel (TWRC) by allowing the two end nodes to transmit messages to the relay simultaneously. To achieve reliable communication, channel…

Networking and Internet Architecture · Computer Science 2016-11-15 Shengli Zhang , Soung-Chang Liew

Random linear network coding (RLNC) has been shown to efficiently improve the network performance in terms of reducing transmission delays and increasing the throughput in broadcast and multicast communications. However, it can result in…

Systems and Control · Computer Science 2016-10-25 Emmanouil Skevakis , Ioannis Lambadaris

We study low-delay error correction codes for streaming recovery over a class of packet-erasure channels that introduce both burst-erasures and isolated erasures. We propose a simple, yet effective class of codes whose parameters can be…

Information Theory · Computer Science 2012-08-02 Ahmed Badr , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

This paper studies the three-user finite-field multi-way relay channel, where the users exchange messages via a relay. The messages are arbitrarily correlated, and the finite-field channel is linear and is subject to additive noise of…

Information Theory · Computer Science 2013-09-18 Lawrence Ong , Gottfried Lechner , Sarah J. Johnson , Christopher M. Kellett

For several years, the completion time and the decoding delay problems in Instantly Decodable Network Coding (IDNC) were considered separately and were thought to completely act against each other. Recently, some works aimed to balance the…

Information Theory · Computer Science 2014-04-15 Ahmed Douik , Sameh Sorour , Mohamed-Slim Alouini , Tareq Y. Al-Naffouri

We derive the optimum second-order coding rates, known as second-order capacities, for erasure and list decoding. For erasure decoding for discrete memoryless channels, we show that second-order capacity is $\sqrt{V}\Phi^{-1}(\epsilon_t)$…

Information Theory · Computer Science 2014-04-22 Vincent Y. F. Tan , Pierre Moulin

We consider the problem of constructing an erasure code for storage over a network when the data sources are distributed. Specifically, we assume that there are n storage nodes with limited memory and k<n sources generating the data. We…

Information Theory · Computer Science 2016-11-15 Alexandros G. Dimakis , Vinod Prabhakaran , Kannan Ramchandran

In this paper, the problem of distributed opportunistic channel access in wireless relaying is investigated. A relay network with multiple source-destination pairs and multiple relays is considered. All the source nodes contend through a…

Information Theory · Computer Science 2015-03-19 Zhou Zhang , Hai Jiang

This paper investigates the additive white Gaussian noise two-way relay channel, where two users exchange messages through a relay. Asymmetrical channels are considered where the users can transmit data at different rates and at different…

Information Theory · Computer Science 2011-10-26 Lawrence Ong , Christopher M. Kellett , Sarah J. Johnson

We present the optimal relay-subset selection and transmission-time for a decode-and-forward, half-duplex cooperative network of arbitrary size. The resource allocation is obtained by maximizing over the rates obtained for each possible…

Information Theory · Computer Science 2008-12-22 Elzbieta Beres , Raviraj Adve

Point-to-multipoint communications are expected to play a pivotal role in next-generation networks. This paper refers to a cellular system transmitting layered multicast services to a multicast group of users. Reliability of communications…

Information Theory · Computer Science 2016-11-17 Andrea Tassi , Ioannis Chatzigeorgiou , Daniel E. Lucani

Error and erasure exponents for the broadcast channel with degraded message sets are analyzed. The focus of our error probability analysis is on the main receiver where, nominally, both messages are to be decoded. A two-step decoding…

Information Theory · Computer Science 2015-01-28 Vincent Y. F. Tan

We present a closed-form expression for the minimal delay that is achievable in a setting that combines a buffer and an erasure code, used to mitigate the packet delay variance. The erasure code is modeled according to the recent…

Information Theory · Computer Science 2016-10-17 Jesper H. Sørensen , Petar Popovski , Jan Østergaard

A restricted two-way communication problem in a small fully-connected network is investigated. The network consists of three nodes, all having access to a common channel with half-duplex constraint. Two nodes want to establish a dialog…

Information Theory · Computer Science 2014-09-05 Manuel Stein

This paper considers packet scheduling over a broadcast channel with packet erasures to multiple receivers with different messages (multiple uni-cast) each with possibly different hard deadline constraints. A novel metric is proposed and…

Networking and Internet Architecture · Computer Science 2018-08-01 Zohreh Ovaisi , Natasha Devroye , Hulya Seferoglu , Besma Smida , Daniela Tuninetti