| Issue |
E3S Web Conf.
Volume 376, 2023
International Scientific and Practical Conference “Environmental Risks and Safety in Mechanical Engineering” (ERSME-2023)
|
|
|---|---|---|
| Article Number | 01060 | |
| Number of page(s) | 12 | |
| Section | I Environmental Risks and Safety in Mechanical Engineering | |
| DOI | https://doi.org/10.1051/e3sconf/202337601060 | |
| Published online | 31 March 2023 | |
Differential properties of polar codes
Tomsk State University of Control and Radioelectronics, 47, Vershinina str., 634034 Tomsk, Russia
* Corresponding author: shalingn1120@gmail.com
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.
Key words: polar codes / block codes / differential encoder / generator matrix
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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