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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/13/e3sconf_ersme2023_01060.pdf |
| _version_ | 1797850774340894720 |
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| author | Shalin Georgiy Pokamestov Dmitriy Kryukov Yakov Shinkevich Artem Brovkin Andrey Rogozhnikov Eugeniy |
| author_facet | Shalin Georgiy Pokamestov Dmitriy Kryukov Yakov Shinkevich Artem Brovkin Andrey Rogozhnikov Eugeniy |
| author_sort | Shalin Georgiy |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T19:06:55Z |
| format | Article |
| id | doaj.art-5ea4fa730c9e436899171af728b2b696 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-04-09T19:06:55Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-5ea4fa730c9e436899171af728b2b6962023-04-07T08:58:19ZengEDP SciencesE3S Web of Conferences2267-12422023-01-013760106010.1051/e3sconf/202337601060e3sconf_ersme2023_01060Differential properties of polar codesShalin Georgiy0Pokamestov Dmitriy1Kryukov Yakov2Shinkevich Artem3Brovkin Andrey4Rogozhnikov Eugeniy5Tomsk State University of Control and RadioelectronicsTomsk State University of Control and RadioelectronicsTomsk State University of Control and RadioelectronicsTomsk State University of Control and RadioelectronicsTomsk State University of Control and RadioelectronicsTomsk State University of Control and RadioelectronicsThis 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/13/e3sconf_ersme2023_01060.pdfpolar codesblock codesdifferential encodergenerator matrix |
| spellingShingle | Shalin Georgiy Pokamestov Dmitriy Kryukov Yakov Shinkevich Artem Brovkin Andrey Rogozhnikov Eugeniy Differential properties of polar codes E3S Web of Conferences polar codes block codes differential encoder generator matrix |
| title | Differential properties of polar codes |
| title_full | Differential properties of polar codes |
| title_fullStr | Differential properties of polar codes |
| title_full_unstemmed | Differential properties of polar codes |
| title_short | Differential properties of polar codes |
| title_sort | differential properties of polar codes |
| topic | polar codes block codes differential encoder generator matrix |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/13/e3sconf_ersme2023_01060.pdf |
| work_keys_str_mv | AT shalingeorgiy differentialpropertiesofpolarcodes AT pokamestovdmitriy differentialpropertiesofpolarcodes AT kryukovyakov differentialpropertiesofpolarcodes AT shinkevichartem differentialpropertiesofpolarcodes AT brovkinandrey differentialpropertiesofpolarcodes AT rogozhnikoveugeniy differentialpropertiesofpolarcodes |