无线电通信技术2024,Vol.50Issue(1) :181-186.DOI:10.3969/j.issn.1003-3114.2024.01.022

基于BCJR网格的3×3核极化码简化连续消去译码算法

3×3 Polar Code Simplified Successive Cancellation Decoding Algorithm Based on BCJR Trellis Construction

李逸飞 黄志亮 张莜燕 周水红
无线电通信技术2024,Vol.50Issue(1) :181-186.DOI:10.3969/j.issn.1003-3114.2024.01.022

基于BCJR网格的3×3核极化码简化连续消去译码算法

3×3 Polar Code Simplified Successive Cancellation Decoding Algorithm Based on BCJR Trellis Construction

李逸飞 1黄志亮 1张莜燕 1周水红1
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作者信息

  • 1. 浙江师范大学物理与电子信息工程学院,浙江金华 321004
  • 折叠

摘要

大核矩阵极化码的传统连续消去(Successive Cancellation,SC)译码算法有较高的计算复杂度,采用网格来降低大核矩阵极化码SC译码算法的复杂度.发现了 SC译码算法核内部运算和网格的联系,建立了相应的网格替代核内部运算,基于BCJR(Bahl,Cocke,Jelinek,Raviv construction)网格构造出SC核内部运算的最小网格.有效降低了算法计算量.仿真结果表明,3×3核的长度为243、码率为1/2的极化码,相比于直接计算式,运行时间减少了 79.14%,节省了 14.2%的计算成本.

Abstract

The traditional Successive Cancellation(SC)decoding algorithm for large kernel matrix polar codes has high computa-tional complexity.This paper uses a trellis to reduce the complexity of the SC decoding algorithm for large kernel matrix polar codes.Firstly,this paper establishes the connection between the internal operations of the SC decoding algorithm and the trellis.Then,it estab-lishes the corresponding trellis-based replacements for internal operations.Finally,based on the BCJR(Bahl,Cocke,Jelinek,Raviv con-struction)trellis,the minimum trellis for internal operations of the SC kernel is constructed.This approach effectively reduces the com-putational load of the algorithm.Simulation results show that for 3×3 kernel polar codes with a length of 243 and a code rate of 1/2,this method reduces the running time by 79.14%compared to direct calculation,savings of 14.2%in computing costs.

关键词

极化码/大核矩阵/BCJR网格/连续消去译码

Key words

polar code/large kernel matrix/BCJR trellis/SC decoding

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出版年

2024
无线电通信技术
中国电子科技集团公司第五十四研究所

无线电通信技术

北大核心
影响因子:0.745
ISSN:1003-3114
参考文献量2
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