A Construction of Lattices from Polar Codes

被引：0
|
作者：
Yan, Yanfei [1 ]
Ling, Cong [1 ]
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London, England
来源：
2012 IEEE INFORMATION THEORY WORKSHOP (ITW) | 2012年
关键词：
COSET CODES;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We employ polar codes as the building blocks of Construction D to construct lattices for the additive white Gaussian noise (AWGN) channel. The construction of these component polar codes is based on the idea of Pedarsani et al. for binary-input memoryless symmetric (BMS) channels. Our lattice construction takes the advantage of the performance gain of polar codes over Reed-Muller codes. Simulation results show the lattices constructed from polar codes outperform the benchmark Barnes-Wall lattices, which are constructed from Reed-Muller codes.
引用
收藏
页码：124 / 128
页数：5
相关论文
共 50 条
  • [41] Investigation of Polarization Weight - An Efficient Construction for Polar Codes
    Chen, Ying
    Zhang, Gongzheng
    Li, Rong
    Liu, Xiaocheng
    Luo, Hejia
    Zhang, Huazi
    Xu, Chen
    Wang, Jian
    Wang, Jun
    Zhou, Yue
    2018 IEEE 87TH VEHICULAR TECHNOLOGY CONFERENCE (VTC SPRING), 2018,
  • [42] A Gear Construction of CRC Codes for Enhanced Polar Decoding
    Kazakov, Peter
    Zheng, Mengfan
    Liu, Zilong
    2022 10TH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS (IWSDA), 2022, : 73 - 76
  • [43] Performance of Polar Codes with the Construction using Density Evolution
    Mori, Ryuhei
    Tanaka, Toshiyuki
    IEEE COMMUNICATIONS LETTERS, 2009, 13 (07) : 519 - 521
  • [44] Construction of Polar Codes for Arbitrary Discrete Memoryless Channels
    Gulcu, Talha Cihad
    Ye, Min
    Barg, Alexander
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2018, 64 (01) : 309 - 321
  • [45] Construction of Polar Codes Exploiting Channel Transformation Structure
    Schnelling, Christopher
    Schmeink, Anke
    IEEE COMMUNICATIONS LETTERS, 2015, 19 (12) : 2058 - 2061
  • [46] A practical construction method for Polar Codes in AWGN channels
    Li, Huijun
    Yuan, Jinhong
    2013 IEEE TENCON SPRING CONFERENCE, 2013, : 223 - 226
  • [47] On the Construction of Polar Codes for Achieving the Capacity of Marginal Channels
    Torfi, Amirsina
    Soleymani, Sobhan
    Aram, Siamak
    Vakili, Vahid Tabataba
    2017 55TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON), 2017, : 549 - 556
  • [48] On the Construction of Low Error Floor LDPC Codes on Rectangular Lattices
    Tao, Xiongfei
    Liu, Pan
    Feng, Zhuoming
    Hu, Zuoqi
    IEEE COMMUNICATIONS LETTERS, 2014, 18 (12) : 2073 - 2076
  • [49] Tanner graphs for group block codes and lattices: Construction and complexity
    Banihashemi, AH
    Kschischang, FR
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (02) : 822 - 834
  • [50] Minimum Row Weight and Polar Spectrum Based Puncture Polar Codes Construction Algorithm
    Liu, Daofu
    Rui, Guo
    KSII TRANSACTIONS ON INTERNET AND INFORMATION SYSTEMS, 2023, 17 (08): : 2157 - 2169
12345