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基于四元数的直接判决并行恒模均衡算法

李森 徐明莹 张璐 邓明旭

李森, 徐明莹, 张璐, 邓明旭. 基于四元数的直接判决并行恒模均衡算法[J]. 电子与信息学报, 2023, 45(10): 3622-3630. doi: 10.11999/JEIT221413
引用本文: 李森, 徐明莹, 张璐, 邓明旭. 基于四元数的直接判决并行恒模均衡算法[J]. 电子与信息学报, 2023, 45(10): 3622-3630. doi: 10.11999/JEIT221413
LI Sen, XU Mingying, ZHANG Lu, DENG Mingxu. Concurrent Decision Directed and Constant Modulus Equalization Algorithm Based on Quaternion[J]. Journal of Electronics & Information Technology, 2023, 45(10): 3622-3630. doi: 10.11999/JEIT221413
Citation: LI Sen, XU Mingying, ZHANG Lu, DENG Mingxu. Concurrent Decision Directed and Constant Modulus Equalization Algorithm Based on Quaternion[J]. Journal of Electronics & Information Technology, 2023, 45(10): 3622-3630. doi: 10.11999/JEIT221413

基于四元数的直接判决并行恒模均衡算法

doi: 10.11999/JEIT221413
基金项目: 国家重点研发计划(2019YFE0111600),国家自然科学基金(51939001, 61971083),辽宁省振兴人才计划(XLYC2002078),鹏城实验室重点项目(PCL2021A03-1)
详细信息
    作者简介:

    李森:女,教授,研究方向为非高斯信号处理、通信信号处理、统计信号处理

    徐明莹:女,硕士生,研究方向为4元数理论、信道均衡算法

    张璐:女,硕士生,研究方向为信道均衡算法、阵列信号处理

    邓明旭:女,硕士生,研究方向为信道均衡算法、频谱感知

    通讯作者:

    李森 listen@dlmu.edu.cn

  • 中图分类号: TN911.72

Concurrent Decision Directed and Constant Modulus Equalization Algorithm Based on Quaternion

Funds: The National Key Research and Development Program of China (2019YFE0111600), The National Natural Science Foundation of China (51939001,61971083), Liao Ning Revitalization Talents Program ( XLYC2002078) , The Major Key Project of PCL(PCL2021A03-1)
  • 摘要: 近年来4元数理论成为各界学者研究的热点并被应用到许多领域。该文基于4元数自适应滤波算法对正交极化信道均衡问题进行研究。为了解决4元数恒模(QCMA)算法的相位模糊问题,该文将QCMA算法与4元数最小均方算法(QLMS)相结合提出一种4元数直接判决并行恒模(QCMA+DD-QLMS) 算法。基于广义哈密顿实演算(GHR)的梯度运算规则对新的算法做了理论推导并进行MATLAB实验仿真,仿真结果表明该文所提算法不但能够解决QCMA算法相位模糊问题,还具有更小的稳态均方误差(MSE)。
  • 图  1  4元数值无线通信系统模型

    图  2  4 元数直接判决并行恒模均衡算法原理图

    图  3  16Q2AM调制时均衡前3维星座图

    图  4  16Q2AM 调制时 QCMA 算法均衡后 2 维星座图

    图  5  16Q2AM 调制时 QCMA+DD-QLMS 算法均衡后 2 维星座图

    图  6  16Q2AM 调制时 QCMA 算法均衡后 3 维星座图

    图  7  16Q2AM 调制时 QCMA+DD-QLMS 算法均衡后 3 维星座图

    图  8  16Q2AM 调制时QCMA和 QCMA+DD-QLMS算法MSE收敛曲线对比图

    图  9  256Q2AM调制时均衡前3维星座图

    图  10  256Q2AM调制时QCMA算法均衡后2维星座图

    图  11  256Q2AM调制时QCMA+DD-QLMS算法均衡后2维星座图

    图  12  256Q2AM调制时QCMA算法均衡后3维星座图

    图  13  256Q2AM调制时QCMA+DD-QLMS算法均衡后3维星座图

    图  14  256Q2AM调制时QCMA和QCMA+DD-QLMS算法MSE收敛曲线对比图

    表  1  4-抽头4元数信道脉冲响应

    抽头数实部ijk
    0–1.1696–0.11350.0958–0.9583
    10.4989–0.3639–0.2515–0.6047
    21.0571–0.37911.49570.5183
    30.49110.86530.1552–0.8966
    下载: 导出CSV
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  • 被引次数: 0
出版历程
  • 收稿日期:  2022-11-09
  • 修回日期:  2023-07-05
  • 网络出版日期:  2023-07-13
  • 刊出日期:  2023-10-31

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