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A single source network is said to be memory-free if all of the internal nodes (those except the source and the sinks) do not employ memory but merely send linear combinations of the symbols received at their incoming edges on their…

Information Theory · Computer Science 2009-09-09 K. Prasad , B. Sundar Rajan

Problems related to network coding for acyclic, instantaneous networks (where the edges of the acyclic graph representing the network are assumed to have zero-delay) have been extensively dealt with in the recent past. The most prominent of…

Information Theory · Computer Science 2013-07-09 K. Prasad , B. Sundar Rajan

The algebraic formulation for linear network coding in acyclic networks with the links having integer delay is well known. Based on this formulation, for a given set of connections over an arbitrary acyclic network with integer delay…

Information Theory · Computer Science 2013-10-11 Teja Damodaram Bavirisetti , Abhinav Ganesan , K. Prasad , B. Sundar Rajan

We consider zero-delay single-user and multi-user source coding with average distortion constraint and decoder side information. The zero-delay constraint translates into causal (sequential) encoder and decoder pairs as well as the use of…

Information Theory · Computer Science 2013-01-03 Yonatan Kaspi , Neri Merhav

Random linear network coding (RLNC) in theory achieves the max-flow capacity of multicast networks, at the cost of high decoding complexity. To improve the performance-complexity tradeoff, we consider the design of sparse network codes. A…

Information Theory · Computer Science 2016-04-20 Ye Li , Wai-Yip Chan , Steven D. Blostein

We give an algorithm for finding network encoding and decoding equations for error-free multicasting networks with multiple sources and sinks. The algorithm given is efficient (polynomial complexity) and works on any kind of network…

Information Theory · Computer Science 2007-07-13 Angela I. Barbero Diez , Oyvind Ytrehus

Intra-session network coding has been shown to offer significant gains in terms of achievable throughput and delay in settings where one source multicasts data to several clients. In this paper, we consider a more general scenario where…

Information Theory · Computer Science 2016-11-17 Eirina Bourtsoulatze , Nikolaos Thomos , Pascal Frossard

While feasibility and obtaining a solution of a given network coding problem are well studied, the decoding procedure and complexity have not garnered much attention. We consider the decoding problem in a network wherein the sources…

Information Theory · Computer Science 2015-10-14 Anindya Gupta , B. Sundar Rajan

Network coding is a highly efficient data dissemination mechanism for wireless networks. Since network coded information can only be recovered after delivering a sufficient number of coded packets, the resulting decoding delay can become…

Information Theory · Computer Science 2016-11-17 Rui A. Costa , Daniele Munaretto , Joerg Widmer , Joao Barros

In a network, a node is said to incur a delay if its encoding of each transmitted symbol involves only its received symbols obtained before the time slot in which the transmitted symbol is sent (hence the transmitted symbol sent in a time…

Information Theory · Computer Science 2016-10-19 Silas L. Fong , Raymond W. Yeung

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

Network coding is a novel solution that significantly improve the throughput and energy consumed of wireless networks by mixing traffic flows through algebraic operations. In conventional network coding scheme, a packet has to wait for…

Information Theory · Computer Science 2014-01-27 Hongyi Zeng , Wei Chen

Current approaches to the practical implementation of network coding are batch-based, and often do not use feedback, except possibly to signal completion of a file download. In this paper, the various benefits of using feedback in a network…

Networking and Internet Architecture · Computer Science 2009-04-13 Jay Kumar Sundararajan , Devavrat Shah , Muriel Medard

Increasing network utilization is often considered as the holy grail of communications. In this article, the concept of sub-rate coding and decoding in the framework of linear network coding (LNC) is discussed for single-source…

Information Theory · Computer Science 2022-05-27 Ben Grinboim , Itay Shrem , Ofer Amrani

The conventional theory of linear network coding (LNC) is only over acyclic networks. Convolutional network coding (CNC) applies to all networks. It is also a form of LNC, but the linearity is w.r.t. the ring of rational power series rather…

Information Theory · Computer Science 2016-09-26 Qifu Tyler Sun , Shuo-Yen Robert Li

We propose a new coding scheme, called the delayed coding (DC) scheme, for channels with insertion, deletion, and substitution (IDS) errors. The proposed scheme employs delayed encoding and non-iterative detection and decoding strategies to…

Information Theory · Computer Science 2022-05-25 Ryo Shibata , Hiroyuki Yashima

For memoryless sources, delayed side information at the decoder does not improve the rate-distortion function. However, this is not the case for more general sources with memory, as demonstrated by a number of works focusing on the special…

Information Theory · Computer Science 2012-07-19 Osvaldo Simeone , Haim H. Permuter

While every network node only relays messages in a traditional communication system, the recent network coding (NC) paradigm proposes to implement simple in-network processing with packet combinations in the nodes. NC extends the concept of…

Multimedia · Computer Science 2016-11-15 Enrico Magli , Mea Wang , Pascal Frossard , Athina Markopoulou

This paper considers the multiple-access relay channel in a setting where two source nodes transmit packets to a destination node, both directly and via a relay node, over packet erasure channels. Intra-session network coding is used at the…

Information Theory · Computer Science 2022-03-08 Amjad Saeed Khan , Ioannis Chatzigeorgiou

To reduce computational complexity and delay in randomized network coded content distribution, and for some other practical reasons, coding is not performed simultaneously over all content blocks, but over much smaller, possibly overlapping…

Information Theory · Computer Science 2016-11-17 Yao Li , Emina Soljanin , Predrag Spasojevic
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