Transformation of Binary Linear Block Codes to Polar Codes With Dynamic Frozen

In this paper, a general transformation of binary linear block codes (BLBCs) to (possibly, multi-kernel) polar codes with dynamic frozen bits is proposed. Through a simple matrix permutation operation, a one-to-one connection between the codewords of a BLBC and its transformed polar code can be esta...

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Main Authors: Chien-Ying Lin, Yu-Chih Huang, Shin-Lin Shieh, Po-Ning Chen
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Open Journal of the Communications Society
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9037101/
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author Chien-Ying Lin
Yu-Chih Huang
Shin-Lin Shieh
Po-Ning Chen
author_facet Chien-Ying Lin
Yu-Chih Huang
Shin-Lin Shieh
Po-Ning Chen
author_sort Chien-Ying Lin
collection DOAJ
description In this paper, a general transformation of binary linear block codes (BLBCs) to (possibly, multi-kernel) polar codes with dynamic frozen bits is proposed. Through a simple matrix permutation operation, a one-to-one connection between the codewords of a BLBC and its transformed polar code can be established. This transformation allows the usage of any decoding algorithm of polar codes for efficient soft decoding of BLBCs, including the powerful successive cancellation list (SCL) decoding algorithm. Simulations show that the soft SCL polar decoding of BLBCs can achieve a comparative performance to the order statistic decoding (OSD), as well as the maximum-likelihood decoding (MLD) in certain cases, with a much lower computational complexity.
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spelling doaj.art-d679c0bd176249c8a9be58a756a461ae2022-12-21T19:55:21ZengIEEEIEEE Open Journal of the Communications Society2644-125X2020-01-01133334110.1109/OJCOMS.2020.29795299037101Transformation of Binary Linear Block Codes to Polar Codes With Dynamic FrozenChien-Ying Lin0https://orcid.org/0000-0002-0946-9345Yu-Chih Huang1https://orcid.org/0000-0003-2135-1232Shin-Lin Shieh2https://orcid.org/0000-0003-2011-1149Po-Ning Chen3https://orcid.org/0000-0002-1231-0706Institute of Communications Engineering, National Chiao Tung University, Hsinchu, TaiwanInstitute of Communications Engineering, National Chiao Tung University, Hsinchu, TaiwanDepartment of Communications Engineering, National Taipei University, Taipei, TaiwanInstitute of Communications Engineering, National Chiao Tung University, Hsinchu, TaiwanIn this paper, a general transformation of binary linear block codes (BLBCs) to (possibly, multi-kernel) polar codes with dynamic frozen bits is proposed. Through a simple matrix permutation operation, a one-to-one connection between the codewords of a BLBC and its transformed polar code can be established. This transformation allows the usage of any decoding algorithm of polar codes for efficient soft decoding of BLBCs, including the powerful successive cancellation list (SCL) decoding algorithm. Simulations show that the soft SCL polar decoding of BLBCs can achieve a comparative performance to the order statistic decoding (OSD), as well as the maximum-likelihood decoding (MLD) in certain cases, with a much lower computational complexity.https://ieeexplore.ieee.org/document/9037101/Channel codingPolar codesbinary linear block codes and soft decoding
spellingShingle Chien-Ying Lin
Yu-Chih Huang
Shin-Lin Shieh
Po-Ning Chen
Transformation of Binary Linear Block Codes to Polar Codes With Dynamic Frozen
IEEE Open Journal of the Communications Society
Channel coding
Polar codes
binary linear block codes and soft decoding
title Transformation of Binary Linear Block Codes to Polar Codes With Dynamic Frozen
title_full Transformation of Binary Linear Block Codes to Polar Codes With Dynamic Frozen
title_fullStr Transformation of Binary Linear Block Codes to Polar Codes With Dynamic Frozen
title_full_unstemmed Transformation of Binary Linear Block Codes to Polar Codes With Dynamic Frozen
title_short Transformation of Binary Linear Block Codes to Polar Codes With Dynamic Frozen
title_sort transformation of binary linear block codes to polar codes with dynamic frozen
topic Channel coding
Polar codes
binary linear block codes and soft decoding
url https://ieeexplore.ieee.org/document/9037101/
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