Publication

Polarization Theorems for Arbitrary DMCs

Emre Telatar, Rajai Nasser
2013
Conference Papers

Abstract

A polarization phenomenon in a special sense is shown for an arbitrary discrete memoryless channel (DMC) by imposing a quasigroup structure on the input alphabet. The same technique is used to derive a polarization theorem for an arbitrary multiple access channel (MAC) by using an appropriate Abelian group structure. These results can be used to construct capacity-achieving polar codes for arbitrary DMCs with a block error probability of o(2 -N1/2-ε), and an encoding/decoding complexity of O(N log N), where N is the block length. © 2013 IEEE.

Official source

https://infoscience.epfl.ch/entities/publication/1766b8c9-b2b9-432d-96d2-556fc535f321

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Emre Telatar, Rajai Nasser
2013
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/1766b8c9-b2b9-432d-96d2-556fc535f321

About this result

Related concepts (24)

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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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.

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