title: ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð¸ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ°ÑÐºÐ°Ð´Ð½ÑÑ ÐºÐ¾Ð´Ð¾Ð², Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð½Ð° Ð¿Ð¾Ð»ÑÑÐ½ÑÑ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Design and decoding of concatenated codes based on polar codes
Creators: name: ÐÑÐ¸Ð¿Ð¾Ð²Ð°, ÐÐ½Ð¶ÐµÐ»Ð¸ÐºÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð´ÐµÐºÐ¾Ð´ÐµÑ Ð±ÐºÐµÑ
Ð´ÐµÐºÐ¾Ð´ÐµÑ Ñ Ð¼ÑÐ³ÐºÐ¸Ð¼ Ð²Ñ Ð¾Ð´Ð¾Ð¼ Ð¸ Ð¼ÑÐ³ÐºÐ¸Ð¼ Ð²ÑÑ Ð¾Ð´Ð¾Ð¼
Ð·Ð°Ð´ÐµÑÐ¶ÐºÐ° Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
Ð¸ÑÐµÑÐ°ÑÐ¸Ð²Ð½ÑÐ¹ Ð´ÐµÐºÐ¾Ð´ÐµÑ
ÐºÐ°ÑÐºÐ°Ð´Ð½ÑÐ¹ ÐºÐ¾Ð´
ÐºÐ¾Ð´ Ð±ÑÑ
ÐºÐ¾Ð´-Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ
Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¹ ÐºÐ¾Ð´
Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¹ Ð¿Ð¾Ð´ÐºÐ¾Ð´ Ñ ÑÐ¾Ð´Ð¸ÑÐµÐ»ÑÑÐºÐ¸Ð¼ ÐºÐ¾Ð´Ð¾Ð¼ Ð±ÑÑ
ÑÐ°Ð½Ð´Ð¾Ð¼Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¹ Ð¿Ð¾Ð´ÐºÐ¾Ð´
ÑÐ¿Ð¸ÑÐ¾ÑÐ½ÑÐ¹ Ð´ÐµÐºÐ¾Ð´ÐµÑ
bch code
bcjr decoder
concatenated code
iterative decoder
polar code
polar subcode with parent bch code
product code
randomized polar subcode
scl decoder
soft input soft output decoder

description: ÐÐ¸Ð¿Ð»Ð¾Ð¼Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ ÑÐµÐ¼Ðµ "ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð¸ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ°ÑÐºÐ°Ð´Ð½ÑÑ ÐºÐ¾Ð´Ð¾Ð², Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð½Ð° Ð¿Ð¾Ð»ÑÑÐ½ÑÑ".
Ð¦ÐµÐ»ÑÑ Ð´Ð¸Ð¿Ð»Ð¾Ð¼Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÐºÐ¾Ð´Ð¾Ð²Ð¾Ð¹ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ Ð¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°Ð» Ð±Ñ Ð¼ÐµÐ½ÑÑÑÑ Ð·Ð°Ð´ÐµÑÐ¶ÐºÑ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¼Ð¸ ÐºÐ¾Ð´Ð°Ð¼Ð¸.
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- Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° ÐºÐ¾Ð´Ð¾Ð²Ð°Ñ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ñ, Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÑÑÐ°Ñ ÑÐ¾Ð±Ð¾Ð¹ Ð¿ÑÑÐ¼Ð¾Ðµ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐ½ÑÑ Ð¿Ð¾Ð´ÐºÐ¾Ð´Ð¾Ð².
- Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð¸ÑÐµÑÐ°ÑÐ¸Ð²Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÑÐ¼Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐ½ÑÑ Ð¿Ð¾Ð´ÐºÐ¾Ð´Ð¾Ð², Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð½Ð° ÑÐ¿Ð¸ÑÐ¾ÑÐ½Ð¾Ð¼ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ðµ Ð¢Ð°Ð»Ð°-ÐÐ°ÑÐ´Ð¸
Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ ÐºÐ¾Ð´-Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÐ¼Ð¸ ÑÐ°Ð½Ð´Ð¾Ð¼Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¼Ð¸ Ð¿Ð¾Ð´ÐºÐ¾Ð´Ð°Ð¼Ð¸ Ð¸ Ð¸ÑÐµÑÐ°ÑÐ¸Ð²Ð½ÑÐ¼ Ð´ÐµÐºÐ¾Ð´ÐµÑÐ¾Ð¼ Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÐ¼Ð¸ ÑÐ¿Ð¸ÑÐ¾ÑÐ½ÑÐ¼Ð¸ Ð´ÐµÐºÐ¾Ð´ÐµÑÐ°Ð¼Ð¸. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐ¹ ÐºÐ¾Ð´ Ð¸Ð¼ÐµÐµÑ Ð¼ÐµÐ½ÑÑÑÑ Ð·Ð°Ð´ÐµÑÐ¶ÐºÑ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¼ ÐºÐ¾Ð´Ð¾Ð¼, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÐµÑ Ð»ÑÑÑÑÑ ÐºÐ¾ÑÑÐµÐºÑÐ¸ÑÑÑÑÑÑ ÑÐ¿Ð¾ÑÐ¾Ð±Ð½Ð¾ÑÑÑ, Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¸Ð·Ð²ÐµÑÑÐ½ÑÐ¼Ð¸ Ð°Ð½Ð°Ð»Ð¾Ð³Ð°Ð¼Ð¸.
description: The subject of this paper is "Design and decoding of concatenated codes based on polar codes".
The aim is to design a code construction and a decoding method with lower decoding latency then in polar codes.
To achieve the aim we deal with following tasks:
- A product code construction with component polar subcodes was designed.
- An iterative decoder based on SCL algorithm for product codes with component polar subcodes was designed.
As a result there is a product code with randomized polar subcodes and iterative decoder with component list decoder. It has smaller decoding latency than the classical polar code, and performes better error rate than similar codes from other papers.