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多信源多中继编码协作系统准循环LDPC码的联合设计与性能分析

张顺外 魏琪

张顺外, 魏琪. 多信源多中继编码协作系统准循环LDPC码的联合设计与性能分析[J]. 电子与信息学报, 2019, 41(10): 2325-2333. doi: 10.11999/JEIT190069
引用本文: 张顺外, 魏琪. 多信源多中继编码协作系统准循环LDPC码的联合设计与性能分析[J]. 电子与信息学报, 2019, 41(10): 2325-2333. doi: 10.11999/JEIT190069
Shunwai ZHANG, Qi WEI. Joint Design of Quasi-cyclic Low Density Parity Check Codes and Performance Analysis of Multi-source Multi-relay Coded Cooperative System[J]. Journal of Electronics & Information Technology, 2019, 41(10): 2325-2333. doi: 10.11999/JEIT190069
Citation: Shunwai ZHANG, Qi WEI. Joint Design of Quasi-cyclic Low Density Parity Check Codes and Performance Analysis of Multi-source Multi-relay Coded Cooperative System[J]. Journal of Electronics & Information Technology, 2019, 41(10): 2325-2333. doi: 10.11999/JEIT190069

多信源多中继编码协作系统准循环LDPC码的联合设计与性能分析

doi: 10.11999/JEIT190069
基金项目: 国家自然科学基金(61501256),江苏省自然科学基金(BK20150857),南京邮电大学国自基金孵化项目(NY219073)
详细信息
    作者简介:

    张顺外:男,1987年生,博士,副教授,硕士生导师,研究方向为编码协作网络

    魏琪:男,1993年生,硕士生,研究方向为QC-LDPC码及协作通信技术

    通讯作者:

    张顺外 swzhang@njupt.edu.cn

  • 中图分类号: TN911.22

Joint Design of Quasi-cyclic Low Density Parity Check Codes and Performance Analysis of Multi-source Multi-relay Coded Cooperative System

Funds: The National Natural Science Foundation of China (61501256), The Natural Science Foundation of Jiangsu Province (BK20150857), The NUPTSF(NY219073)
  • 摘要: 为解决多信源多中继低密度奇偶校验(LDPC)码编码协作系统编码复杂度高、编码时延长的问题,该文引入一种特殊结构的LDPC码—基于生成矩阵的准循环LDPC码(QC-LDPC)码。该类码结合了QC-LDPC码与基于生成矩阵LDPC (G-LDPC)码的特点,可直接实现完全并行编码,极大地降低了中继节点的编码时延及编码复杂度。在此基础上,推导出对应于信源节点和中继节点采用的QC-LDPC码的联合校验矩阵,并基于最大公约数(GCD)定理联合设计该矩阵以消除其所有围长为4, 6(girth-4, girth-6)的短环。理论分析和仿真结果表明,在同等条件下该系统的误码率(BER)性能优于相应的点对点系统。仿真结果还表明,与采用显式算法构造QC-LDPC码或一般构造QC-LDPC码的协作系统相比,采用联合设计QC-LDPC码的系统均可获得更高的编码增益。
  • 图  1  多信源多中继QC-LDPC编码协作系统模型

    图  2  采用联合设计QC-LDPC码的编码协作系统与点对点系统的BER比较

    图  3  编码协作系统在不同信源节点和中继节点数目下的BER比较

    图  4  采用联合设计QC-LDPC码与一般构造QC-LDPC码的编码协作系统BER比较

    图  5  采用联合设计QC-LDPC码与显式构造QC-LDPC码的编码协作系统BER比较

    图  6  编码协作系统在不同调制方式和不同接收天线数目情况下的BER比较

    表  1  双信源双中继编码协作及对应点对点系统所采用的QC-LDPC码

    信源节点所采用的QC-LDPC码中继节点所采用的QC-LDPC码
    双信源双中继系统$ {{\text{H}}_{{S_{1}}}} = {{\text{H}}_{1(1100 \times 2200)}} $$ {{\text{H}}_{{R_{1}}}} = [ {{{\text{A}}_{1(1100 \times 2200)}}}\quad {{{\text{B}}_{1(1100 \times 2200)}}}\quad {\text{I}}_{(1100 \times 1100)}]$
    ${{\text{H}}_{{S_{2}}}} = {{\text{H}}_{2(1100 \times 2200)}}$$ {{\text{H}}_{{R_{2}}}} = [ {{{\text{A}}_{2(1100 \times 2200)}}}\quad {{{\text{B}}_{2(1100 \times 2200)}}}\quad {\text{I}}_{(1100 \times 1100)}] $
    Rate=1/2Rate=4/5
    点对点系统${{\text{H}}_S} = {{\text{H}}_{(2200 \times 6600)}}$
    Rate=1/3
    \
    下载: 导出CSV

    表  2  不同信源节点、中继节点数目情况下编码协作系统所采用的QC-LDPC码

    信源节点所采用的QC-LDPC码中继节点所采用的QC-LDPC码
    双信源双中继$ {{\text{H}}_{{S_{1}}}} = {{\text{H}}_{1(1100 \times 2200)}} $$ { {\text{H} }_{ {R_{1} } } } = [\begin{array}{*{20}{c} } { { {\text{A} }_{1(1100 \times 2200)} } } & { { {\text{B} }_{1(1100 \times 2200)} } } & {\text{I} }_{(1100 \times 1100)} \end{array}] $
    $ {{\text{H}}_{{S_{2}}}} = {{\text{H}}_{2(1100 \times 2200)}} $$ { {\text{H} }_{ {R_{2} } } } = [\begin{array}{*{20}{c} } { { {\text{A} }_{2(1100 \times 2200)} } } & { { {\text{B} }_{2(1100 \times 2200)} } } & {\text{I}_{(1100 \times 1100)} } \end{array} ]$
    Rate=1/2Rate=4/5
    双信源单中继$ {{\text{H}}_{{S_{1}}}} = {{\text{H}}_{1(1100 \times 2200)}} $${ {\text{H} }_R} = [\begin{array}{*{20}{c} } { { {\text{A} }_{(1100 \times 2200)} } } & { { {\text{B} }_{(1100 \times 2200)} } } & {{\text{I}}_{(1100 \times 1100)} } \end{array} ]$
    $ {{\text{H}}_{{S_{2}}}} = {{\text{H}}_{2(1100 \times 2200)}} $
    Rate=1/2Rate=4/5
    单信源双中继${{\text{H}}_S} = {{\text{H}}_{1(1100 \times 2200)}}$$\begin{gathered} {{\text{H}}_{{R_{1}}}} = [\begin{array}{*{20}{c}} {{{\text{A}}_{1(1100 \times 2200)}}}&{{{\text{I}}_{(1100 \times 1100)}}} \end{array}] \\ {{\text{H}}_{{R_{2}}}} = [\begin{array}{*{20}{c}} {{{\text{A}}_{2(1100 \times 2200)}}}&{{{\text{I}}_{(1100 \times 1100)}}} \end{array}] \\ \end{gathered} $
    Rate=1/2Rate=2/3
    下载: 导出CSV

    表  3  采用一般构造QC-LDPC码的协作系统各节点所采用的码字

    信源节点所采用的QC-LDPC码中继节点所采用的QC-LDPC码
    双信源双中继${d_{\rm v}} = 2$, ${d_{\rm c}} = 4$
    B=550
    ${d_{\rm v}} = 2$, ${d_{\rm c}} = 10$
    B=550
    注:dv指每列“1”的个数,dc指每行“1”的个数
    下载: 导出CSV

    表  4  采用显式构造QC-LDPC码的协作系统所采用的码字

    信源节点所采用的QC-LDPC码中继节点所采用的QC-LDPC码
    双信源双中继${d_{\rm v}} = 2$, ${d_{\rm c}} = 3$
    B=730
    ${d_{\rm v}} = 2$, ${d_{\rm c}} = 8$
    B=730
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-01-24
  • 修回日期:  2019-06-16
  • 网络出版日期:  2019-06-26
  • 刊出日期:  2019-10-01

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