A Construction Method of Arbitrary-Length Polar Codes

作     者：Xiaojun Zhang Chengguan Chen Rongcai Zhang Jianming Cui Qingtian Zeng Xiaojun Zhang;Chengguan Chen;Rongcai Zhang;Jianming Cui;Qingtian Zeng

作者机构：Shandong University of Science and TechnologyQingdao 266590China State Key Laboratory of High-End Server and Storage TechnologyJinan 250101China 

出 版 物：《China Communications》 (中国通信（英文版）)

年 卷 期：2023年第20卷第10期

页      面：153-162页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 081101[工学-控制理论与控制工程] 0701[理学-数学] 0811[工学-控制科学与工程] 

基　　金：supported in part by Joint Fund for Smart Computing of Natural Science Foundation of Shandong Province(ZR2019LZH001) Shandong University Youth Innovation Supporting Program(2019KJN020,2019KJN024) Shandong Key Research and Development Project(2019GGX101066) the Taishan Scholar Program of Shandong Province,the Natural Science Foundation of China(61701284) 

主　　题：code construction polar codes arbitrary-length channel polarization union encoding 

摘      要：To remove the restriction on code length of polar codes,this paper proposes a construction scheme,called stepwise polar codes,which can gen-erate arbitrary-length polar *** stepwise polar codes are generated by sub-polar codes with different code *** improve coding performance,sub-polar codes are united by polarization effect priority algorithm,which can reduce the number of in-completely polarized ***,the construction method of the generator matrix of the stepwise po-lar code is ***,we prove that the proposed scheme has lower decoding complexity than punctured,multi-kernel polar *** results show that the proposed method can achieve similar decoding performance compared with the conventional punctured polar codes,rate-compatible punctured polar code,PC-short and asymmetric polar codes(APC)when code length N=48 and 72,respectively.