摘要
极化码是E.Arikan基于信道极化现象提出的一种信道编码,在B⁃DMC信道中可以达到香农限,其具有较低的编译码复杂度。首先分析了信道极化的基本原理,即信道组合和信道分解的过程;对信道极化现象进行了仿真,研究码长和删除概率对极化现象的影响;其次对编码中的重要环节即生成矩阵构造和信息集的确定进行描述,推导了生成矩阵的构造过程,并详细讨论了编码过程。译码部分主要分析了极化码的SC译码、SCL译码、CA⁃SCL、RSC⁃SCL译码算法的基本原理及译码结构;在极化码仿真部分,主要分析了BEC信道、BSC信道以及AWGN信道中码长N、码率R及信道参数变化对误码率的影响。
Polar codes are proposed by E.Arikan based on the phenomenon of channel polarization,which can reach the Shannon limit in the B-DMC channel with lower coding and decoding complexity.Basic principles of channel polarization are analyzed and channel polarization phenomenon is simulated at first in this paper.Then the construction of generation matrix and the determination of information set are described.And the coding process is discussed in detail.Basic principles and decoding structure of the SC decoding,SCL decoding,CA-SCL,RSC-SCL decoding algorithms are mainly analyzed in the decoding of polar codes.At last,the influence of code length N,code rate R and channel parameter changes on bit error rate in BEC channel,BSC channel and AWGN channel are discussed in simulations.
作者
鲁信金
舒冰心
雷菁
LU Xinjin;SHU Bingxin;LEI Jing(School of Electronic Science,National University of Defense Technology,Changsha 410000,China)
出处
《无线电通信技术》
2021年第6期780-788,共9页
Radio Communications Technology
基金
国家自然科学基金项目(61502518,61702536,61601480)
湖南省自然科学基金项目(2017JJ2303,2018JJ3609)
国家留学基金委(CSC)访问学者资助项目的部分资助。
关键词
极化码
信道极化
生成矩阵
信息集
译码算法
polar codes
channel polarization
generation matrix
information set
decoding algorithm
