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A New Coding Paradigm for the Primitive Relay Channel

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Lossless Source Coding with Polar Codes

Satish Babu Korada, Harm Cronie

In this paper lossless compression with polar codes is considered. A polar encoding algorithm is developed and a method to design the code and compute the average compression rate for finite lengths is given. It is shown that the scheme achieves the optima ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Universal Source Polarization and Spare Recovery

Emmanuel Abbé

Polar codes allow to perform lossless compression of i.i.d. sources at the lowest rate with low encoding and decoding complexity. In this paper, it is shown that for binary sources, there exist “universal polar codes” which can compress any source of low e ...

2010

Transmission of Correlated Information Sources with Network Coding

Pascal Frossard, Nikolaos Thomos, Hyung Gon Park

This paper addresses the problem of the distributed delivery of correlated data sources with help of network coding. Network coding provides an alternative to routing algorithms and offers improved system performance, robustness and throughput, with no nee ...

2010

Asymmetric Multilevel Diversity Coding and Asymmetric Gaussian Multiple Descriptions

Suhas Diggavi

We consider the asymmetric multilevel diversity (A-MLD) coding problem, where a set of 2(K) - 1 information sources, ordered in a decreasing level of importance, is encoded into K messages (or descriptions). There are 2(K) - 1 decoders, each of which has a ...

2010

Polar Codes are Optimal for Lossy Source Coding

Rüdiger Urbanke, Satish Babu Korada

We consider lossy source compression of a binary symmetric source with Hamming distortion function. We show that polar codes combined with a low-complexity successive cancellation encoding algorithm achieve the rate-distortion bound. The complexity of both ...

2009

Polar codes for channel and source coding

Satish Babu Korada

The two central topics of information theory are the compression and the transmission of data. Shannon, in his seminal work, formalized both these problems and determined their fundamental limits. Since then the main goal of coding theory has been to find ...

EPFL2009

Error-resilient Scalable Compression based on Distributed Video Coding

Touradj Ebrahimi, Frédéric Dufaux, Mourad Ouaret

Distributed Video Coding (DVC) is a new paradigm for video compression based on the information theoretical results of Slepian-Wolf (SW) and Wyner-Ziv (WZ). In this work, a performance analysis of image and video coding schemes based on DVC are presented, ...

2009

Source and channel coding using Fountain codes

Bertrand Ndzana Ndzana

The invention of Fountain codes is a major advance in the field of error correcting codes. The goal of this work is to study and develop algorithms for source and channel coding using a family of Fountain codes known as Raptor codes. From an asymptotic poi ...

EPFL2009

Linear Universal Decoder for Compound Discrete Memoryless Channels

Rethnakaran Pulikkoonattu

Shannon in his seminal work \cite{paper:shannon} formalized the framework on the problem of digital communication of information and storage. He quantified the fundamental limits of compression and transmission rates. The quantity \textit{channel capacity} ...

2009

Delay with network coding and feedback

Christina Fragouli, Lorenzo Keller

We consider the problem of minimizing delay when broadcasting over erasure channels with feedback. A sender wishes to communicate the same set of μ messages to several receivers over separate erasure channels. The sender can broad- cast a single message or ...

2009