Construction of Quasi-Cyclic LDPC Codes with Diagonal Structure of Parity-Check Matrices

被引:0
作者
Xu, Hengzhou [1 ,2 ]
Li, Huaan [2 ]
Zhu, Min [2 ]
Zhang, Bo [1 ]
Bai, Baoming [2 ]
机构
[1] Zhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Peoples R China
[2] Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shaanxi, Peoples R China
来源
COMMUNICATIONS AND NETWORKING, CHINACOM 2017, PT I | 2018年 / 236卷
基金
中国国家自然科学基金;
关键词
LDPC code; Diagonal matrix; Prime field; Masking; Girth; BINARY;
D O I
10.1007/978-3-319-78130-3_48
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Quasi-cyclic (QC) LDPC codes whose parity-check matrices have diagonal structure play an important role in channel coding of 5G communications. In this paper, we study an algebraic-based method for constructing QC LDPC codes with diagonal structure of parity-check matrices. We first analyze the cycle structure of this class of QC LDPC codes and then divide the diagonal parity-check matrix into two parts, i.e., the diagonal matrix and the non-diagonal matrix. By employing the masking technique, we design the non-diagonal matrix based on prime field and QC LDPC codes with diagonal structure of parity-check matrices are proposed. Numerical results show that the constructed QC LDPC codes perform much better than the WiMAX-LDPC codes.
引用
收藏
页码:460 / 469
页数:10
相关论文
共 27 条
  • [11] LOW-DENSITY PARITY-CHECK CODES
    GALLAGER, RG
    [J]. IRE TRANSACTIONS ON INFORMATION THEORY, 1962, 8 (01): : 21 - &
  • [12] Cyclic and Quasi-Cyclic LDPC Codes on Constrained Parity-Check Matrices and Their Trapping Sets
    Huang, Qin
    Diao, Qiuju
    Lin, Shu
    Abdel-Ghaffar, Khaled
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2012, 58 (05) : 2648 - 2671
  • [13] New construction of quasi-cyclic LDPC codes based on special classes of BIBD's for the AWGN and binary erasure channels
    Lan, Lan
    Tai, Ying Yu
    Lin, Shu
    Memari, Behshad
    Honary, Bahram
    [J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2008, 56 (01) : 39 - 48
  • [14] Li JE, 2014, IEEE INT SYMP INFO, P2454, DOI 10.1109/ISIT.2014.6875275
  • [15] Near Shannon limit performance of low density parity check codes
    MacKay, DJC
    Neal, RM
    [J]. ELECTRONICS LETTERS, 1996, 32 (18) : 1645 - 1646
  • [16] Good error-correcting codes based on very sparse matrices
    MacKay, DJC
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (02) : 399 - 431
  • [17] Low density parity check codes with semi-random parity check matrix
    Ping, L
    Leung, WK
    Phamdo, N
    [J]. ELECTRONICS LETTERS, 1999, 35 (01) : 38 - 39
  • [18] Sun C, 2016, INT SYM TURBO CODES, P271, DOI 10.1109/ISTC.2016.7593119
  • [19] A RECURSIVE APPROACH TO LOW COMPLEXITY CODES
    TANNER, RM
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1981, 27 (05) : 533 - 547
  • [20] Efficient Search of Girth-Optimal QC-LDPC Codes
    Tasdighi, Alireza
    Banihashemi, Amir H.
    Sadeghi, Mohammad-Reza
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (04) : 1552 - 1564