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稀疏码多址接入多用户检测算法综述

雷菁 王水琴 黄巍 彭小洹

雷菁, 王水琴, 黄巍, 彭小洹. 稀疏码多址接入多用户检测算法综述[J]. 电子与信息学报, 2021, 43(10): 2757-2770. doi: 10.11999/JEIT210118
引用本文: 雷菁, 王水琴, 黄巍, 彭小洹. 稀疏码多址接入多用户检测算法综述[J]. 电子与信息学报, 2021, 43(10): 2757-2770. doi: 10.11999/JEIT210118
Jing LEI, Shuiqin WANG, Wei HUANG, Xiaohuan PENG. Survey of Multi-user Detection Algorithms for Sparse Code Multiple Access System[J]. Journal of Electronics & Information Technology, 2021, 43(10): 2757-2770. doi: 10.11999/JEIT210118
Citation: Jing LEI, Shuiqin WANG, Wei HUANG, Xiaohuan PENG. Survey of Multi-user Detection Algorithms for Sparse Code Multiple Access System[J]. Journal of Electronics & Information Technology, 2021, 43(10): 2757-2770. doi: 10.11999/JEIT210118

稀疏码多址接入多用户检测算法综述

doi: 10.11999/JEIT210118
基金项目: 国家自然科学基金(61702536),湖南省自然科学基金(2018JJ3609)
详细信息
    作者简介:

    雷菁:女,1968年生,博士,教授,博士生导师,研究方向为现代通信技术

    王水琴:女,1997年生,硕士生,研究方向为现代通信技术

    黄巍:男,1968年生,博士,研究方向为信号处理

    彭小洹:男,1996年生,硕士,研究方向为现代通信技术

    通讯作者:

    王水琴 wang_shui_qin@163.com

  • 中图分类号: TN929.5

Survey of Multi-user Detection Algorithms for Sparse Code Multiple Access System

Funds: The National Natural Science Foundation of China (61702536), The Natural Science Foundation of Hunan Province (2018JJ3609)
  • 摘要: 稀疏码多址接入(SCMA)是一种非正交多址接入技术,具备高频谱效率和大连接特性。多用户检测是SCMA系统的关键问题,而如何降低检测算法的复杂度成为多址接入领域的研究热点。该文从影响算法复杂度的不同因素入手,分类综述了现有多用户检测算法并对几种典型算法进行了原理剖析和性能对比。同时,指出了SCMA多用户检测算法的改进思路。最后总结并探讨了SCMA检测算法未来的发展趋势和面临的挑战。
  • 图  1  SCMA上行链路模型

    图  2  SCMA编码过程

    图  3  SCMA因子图

    图  4  调度顺序计算过程示意图

    图  5  LOG-MPA, ES-MPA, DT-MPA, ISS-MPA, SD-MPA以及DFG-MPA算法误码性能对比

    图  6  LOG-MPA, ES-MPA, DT-MPA, ISS-MPA, SD-MPA以及DFG-MPA算法复杂度对比

    图  7  信道估计误差对LOG-MPA, ES-MPA, DT-MPA, ISS-MPA, SD-MPA以及DFG-MPA算法误码性能的影响

    表  1  LOG-MPA算法与各类算法加法复杂度对比分析

    算法加法
    LOG-MPA$TK{d_r}{M^{{d_r}}}(2{d_r} + 1) + TK{d_r}(3{M^{{d_r}}} - M) + TJ{d_v}M({d_v} - 2) + JM({d_v} - 1)$
    DT-MPA$\begin{gathered} K{d_r}{M^{ {d_r} } }(2{d_r} + 1) + K{d_r}(3{M^{ {d_r} } } - M) + J{d_v}M({d_v} - 2) + JM({d_v} - 1) + J(3M - 3) \\ + \sum\limits_{t = 1}^{T - 1} {\sum\limits_{k = 1}^K { {d_r}\prod\limits_{i = 1}^{ {d_r} } { {m_c}[t,{\xi _k}(i)](2{d_r} + 1) + } \sum\limits_{t = 1}^{T - 1} {\sum\limits_{k = 1}^K {(3{d_r}{m_c}[t,{\xi _k}(i)] - \sum\limits_{i = 1}^{ {d_r} } { {m_c}[t,{\xi _k}(i)]} )} } } } \\ + \sum\limits_{t = 1}^{T - 1} {\sum\limits_{j = 1}^J { {d_v}{m_c}[t,j]} } ({d_v} - 2) + \sum\limits_{t = 1}^{T - 1} {\sum\limits_{j = 1}^J { {m_c}[t,j]} } ({d_v} - 1) + \sum\limits_{t = 1}^{T - 1} {\sum\limits_{j = 1}^J {(3{m_c}[t,j]} } - 3) \\ \end{gathered}$
    ISS-MPA${T'}K{d_r}{M^{{d_r}}}(2{d_r} + 1) + {T'}K{d_r}(3{M^{{d_r}}} - M) + {T'}J{d_v}M({d_v} - 2) + JM({d_v} - 1)$
    ES-MPA$TK{d_r}(M + 3{d_r} - 2{d_s} - 5) + TK{d_r}{M^{{d_s} + 1}}(2{d_s} + 5) + TJ{d_v}M({d_v} - 2) + JM({d_v} - 1)$
    SD-MPA$T{d_r}\displaystyle\sum\limits_{k = 1}^K {|\phi (k)} |(2{d_r} + 1) + T{d_r}\left(3\displaystyle\sum\limits_{k = 1}^K {|\phi (k)} | - KM\right) + TJ{d_v}M({d_v} - 2) + JM({d_v} - 1)$
    DFG-MPA$\begin{gathered} \sum\limits_{t = 1}^T {|{{\boldsymbol{B}}_s}(t)} |{M^{{d_r}}}(2{d_r} + 1) + \sum\limits_{t = 1}^T {|{{\boldsymbol{B}}_s}(t)|} (3{M^{{d_r}}} - M) + \sum\limits_{t = 1}^T {|{{\boldsymbol{B}}_s}(t)} |(2M - 1) - T \\ + TJ{d_v}M({d_v} - 2) + JM({d_v} - 1) \\ \end{gathered} $
    下载: 导出CSV

    表  2  LOG-MPA算法与各类算法乘法复杂度对比分析

    算法乘法
    LOG-MPA$ TK{d}_{r}{M}^{{d}_{r}}({d}_{r}+2)+TK{d}_{r}({M}^{{d}_{r}}+M)$
    DT-MPA$\begin{array}{l}K{d}_{r}{M}^{ {d}_{r} }({d}_{r}+2)+K{d}_{r}({M}^{ {d}_{r} }+M)+{\displaystyle\sum\limits_{t=1}^{T-1}{\displaystyle\sum\limits_{k=1}^{K}{d}_{r}{\displaystyle \prod _{i=1}^{ {d}_{r} }{m}_{c}[t,{\xi }_{k}(i)]({d}_{r}+2})} }\\ +{\displaystyle\sum\limits_{t=1}^{T-1}{\displaystyle\sum\limits_{k=1}^{K}\left({d}_{r}{\displaystyle \prod _{i=1}^{ {d}_{r} }{m}_{c}[t,{\xi }_{k}(i)]+{\displaystyle\sum\limits_{i=1}^{ {d}_{r} }{m}_{c}[t,{\xi }_{k}(i)]} }\right)} }\end{array}$
    ISS-MPA$ {T}'K{d}_{r}{M}^{{d}_{r}}({d}_{r}+2)+{T}'K{d}_{r}({M}^{{d}_{r}}+M)$
    ES-MPA$TK{d_r}(4M + 2{d_r} - 2{d_s}) + TK{d_r}{M^{{d_s} + 1}}({d_s} + 3) + TK{d_r}({M^{{d_s} + 1}} + M)$
    SD-MPA$T{d}_{r}{\displaystyle\sum\limits_{k=1}^{K}|\varphi (k)}|({d}_{r}+2)+T{d}_{r}\left({\displaystyle\sum\limits_{k=1}^{K}|\varphi (k)}|+KM\right)$
    DFG-MPA$ {\displaystyle\sum\limits_{t=1}^{T}|{\boldsymbol{B}}_{s}(t)}|{M}^{{d}_{r}}({d}_{r}+2)+{\displaystyle\sum\limits_{t=1}^{T}|{\boldsymbol{B}}_{s}(t)}|({M}^{{d}_{r}}+M)+{\displaystyle\sum\limits_{t=1}^{T}|{\boldsymbol{B}}_{s}(t)}|(2M+1)$
    注:${T'}$为ISS-MPA的迭代次数;${m_c}[t,{\xi _k}(i)]$为第$t$次迭代中,与资源$k$连接的第$i$用户的码本大小;${m_c}[t,j]$为第$t$次迭代中,第$j$个用户的码本大小;$\phi (k)$为资源节点$k$上给定半径范围内的叠加星座点;${{\boldsymbol{B}}_s}(t)$第$t$次迭代时的实线分支集。
    下载: 导出CSV

    表  3  仿真参数

    参数
    信道条件瑞利衰落信道
    蒙特卡罗次数107
    $J$6
    $K$4
    ${d_r}$3
    ${d_v}$2
    $\lambda $150%
    $G$3
    $\tau $10
    $r$3$\delta $或4$\delta $
    注:$\delta $为噪声的标准差。
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-02-01
  • 修回日期:  2021-05-28
  • 网络出版日期:  2021-06-22
  • 刊出日期:  2021-10-18

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