Publication

Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization

Rüdiger Urbanke, Seyed Hamed Hassani
2013
Journal Articles

Résumé

We consider the asymptotic behavior of the polarization process in the large block-length regime when transmission takes place over a binary-input memoryless symmetric channel W. In particular, we study the asymptotics of the cumulative distribution, P(Z(n) 2.

Source officielle

https://infoscience.epfl.ch/entities/publication/cf23fc5e-e1b3-4132-8bc5-bbe43c9b7544

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Rüdiger Urbanke, Seyed Hamed Hassani
2013
Journal Articles

Résumé

Source officielle

https://infoscience.epfl.ch/entities/publication/cf23fc5e-e1b3-4132-8bc5-bbe43c9b7544

À propos de ce résultat

Concepts associés (25)

Error correction code

In computing, telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors in data transmission over unreliable or noisy communication channels. The central idea is that the sender encodes the message in a redundant way, most often by using an error correction code or error correcting code (ECC). The redundancy allows the receiver not only to detect errors that may occur anywhere in the message, but often to correct a limited number of errors.

Codes de parité à faible densité

Dans la théorie de l'information, un contrôle de parité de faible densité LDPC est un code linéaire correcteur d'erreur, permettant la transmission d'information sur un canal de transmission bruité. LDPC est construit en utilisant un graphe biparti clairsemé. Les codes LDPC ont une capacité approchant la limite théorique. À l'aide de techniques itératives de propagation d'information sur la donnée transmise et à décoder, les codes LDPC peuvent être décodés en un temps proportionnel à leur longueur de bloc.

Block code

In coding theory, block codes are a large and important family of error-correcting codes that encode data in blocks. There is a vast number of examples for block codes, many of which have a wide range of practical applications. The abstract definition of block codes is conceptually useful because it allows coding theorists, mathematicians, and computer scientists to study the limitations of all block codes in a unified way.

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