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Polar Codes are Optimal for Lossy Source Coding

Publications associées (47)

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On the Information Rates of the Plenoptic Function

Martin Vetterli, Minh Do

The plenoptic function describes the visual information available to an observer at any point in space and time. Samples of the plenoptic function (POF) are seen in video and in general visual content (images, mosaics, panoramic scenes, etc.), and rep- res ...

Institute of Electrical and Electronics Engineers2010

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 ...

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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

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

Lossy Source Coding with Gaussian or Erased Side-Information

Emre Telatar, Suhas Diggavi, Etienne Perron

In this paper we find properties that are shared between two seemingly unrelated lossy source coding setups with side information. The first setup is when the source and side information are jointly Gaussian and the distortion measure is quadratic. The sec ...

2009

Lossy Source Coding with Gaussian or Erased Side-Information

Emre Telatar, Suhas Diggavi, Etienne Perron

In this paper we find properties that are shared between two seemingly unrelated lossy source coding setups with side-information. The first setup is when the source and side-information are jointly Gaussian and the distortion measure is quadratic. The sec ...

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On Fidelity Per Unit Cost

Bixio Rimoldi, Marius Kleiner

We consider source coding with a ﬁdelity criterion, channel coding with a channel input constraint, and the combined problem of reproducing a source across a noisy channel. All three cases face a similar tradeoff between resource and performance, and the o ...

2009

Lower Bounds on the Rate-Distortion Function of Individual LDGM Codes

Rüdiger Urbanke, Shrinivas Kudekar

We consider lossy compression of a binary symmetric source by means of a low-density generator-matrix code. We derive two lower bounds on the rate distortion function which are valid for any low-density generator-matrix code with a given node degree distri ...

2008

Selected topics on distributed video coding

Mourad Ouaret

Distributed Video Coding (DVC) is a new paradigm for video compression based on the information theoretical results of Slepian and Wolf (SW), and Wyner and Ziv (WZ). While conventional coding has a rigid complexity allocation as most of the complex tasks a ...

EPFL2008