Differential properties of polar codes

This paper discusses the features of polar coding as a differential encoder for a binary erasure channel. One of the modern methods of error-correcting coding is polar codes, which has great prospects in the development of current and future wireless communication systems. At the moment, polar codin...

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Bibliographic Details
Main Authors: Shalin Georgiy, Pokamestov Dmitriy, Kryukov Yakov, Shinkevich Artem, Brovkin Andrey, Rogozhnikov Eugeniy
Format: Article
Language:English
Published: EDP Sciences 2023-01-01
Series:E3S Web of Conferences
Subjects:
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/13/e3sconf_ersme2023_01060.pdf
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Summary:This paper discusses the features of polar coding as a differential encoder for a binary erasure channel. One of the modern methods of error-correcting coding is polar codes, which has great prospects in the development of current and future wireless communication systems. At the moment, polar coding is used only in fifth-generation systems. In this paper, a description of polar coding is presented, a description of a polar decoding algorithm capable of restoring messages with an error probability close to 1 is presented, and a general model of a binary channel with erasures is described. The channel model represents a fixed number of introduced errors, depending on the size of the transmitted message. The result of the study is the dependence of the bit-error ratio (BER) on the error probability for low, medium and high code rates, which illustrate the possibility of the polar coding algorithm to restore a message with a partially or completely inverse data stream.
ISSN:2267-1242