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针对eLORAN系统窄带干扰的权函数陷波算法

刘时尧 华宇 张首刚

刘时尧, 华宇, 张首刚. 针对eLORAN系统窄带干扰的权函数陷波算法[J]. 电子与信息学报, 2023, 45(3): 996-1005. doi: 10.11999/JEIT220045
引用本文: 刘时尧, 华宇, 张首刚. 针对eLORAN系统窄带干扰的权函数陷波算法[J]. 电子与信息学报, 2023, 45(3): 996-1005. doi: 10.11999/JEIT220045
LIU Shiyao, HUA Yu, ZHANG Shougang. Weight-Function Notch Filter Algorithm for Narrow-band Interference in eLORAN System[J]. Journal of Electronics & Information Technology, 2023, 45(3): 996-1005. doi: 10.11999/JEIT220045
Citation: LIU Shiyao, HUA Yu, ZHANG Shougang. Weight-Function Notch Filter Algorithm for Narrow-band Interference in eLORAN System[J]. Journal of Electronics & Information Technology, 2023, 45(3): 996-1005. doi: 10.11999/JEIT220045

针对eLORAN系统窄带干扰的权函数陷波算法

doi: 10.11999/JEIT220045
基金项目: 国家自然科学基金(11803040),中国科学院前沿科学重点研究项目(QYZDJ-SSW-JSC034)
详细信息
    作者简介:

    刘时尧:男,博士生,研究方向为无线电导航与授时技术

    华宇:男,博士,研究员,研究方向为无线电导航与授时技术

    张首刚:男,博士,研究员,研究方向为原子钟及其导航应用技术

    通讯作者:

    刘时尧 liushiyao@ntsc.ac.cn

  • 中图分类号: TN961

Weight-Function Notch Filter Algorithm for Narrow-band Interference in eLORAN System

Funds: The National Natural Science Foundation of China (11803040), The Key Research Program of Frontier Sciences of CAS (QYZDJ-SSW-JSC034)
  • 摘要: 针对增强型罗兰(eLORAN)系统的带内干扰问题,该文基于陷波滤波器(NF)原理提出一种抗带内窄带干扰的自适应权函数陷波算法(WF-NF)。首先,该文分析讨论了NF算法在eLORAN系统中的适用性及检测频差引起的伪收敛问题;之后通过增加频差权函数,推导出新的WF-NF算法,解决了固有频差导致的陷波逻辑缺陷;随后,提出梯度跳跃收敛优化技术,改进了权系数收敛速度过慢的问题;最后,通过多种环境下的实验验证了算法的稳定性、多元适用性及实用性。分析结果表明,WF-NF算法能够克服检测频差的实际问题,实现高效的干扰跟踪及滤除,同时也可以补偿干扰检测精度,进而为后续的信号处理流程提供保障。
  • 图  1  连续波干扰下的eLORAN脉冲组

    图  2  NF陷波效果及权系数学习曲线

    图  3  变步长改进后NF陷波效果及学习曲线

    图  4  考虑频差影响时陷波效果及学习曲线

    图  5  初期WF-NF算法的频差跟踪效果

    图  6  WF-NF算法工作流程图

    图  7  1个干扰下WF-NF算法的陷波效果

    图  8  1个干扰下WF-NF算法的频差权系数收敛曲线

    图  9  多干扰下WF-NF算法的陷波效果

    图  10  多个干扰下WF-NF算法的权系数收敛曲线

    图  11  多干扰加白噪声环境WF-NF算法的陷波效果

    图  12  多干扰加白噪声环境下WF-NF算法的权系数收敛曲线

    表  1  无噪声环境6个干扰及WF-NF滤波统计(360 ms处)

    干扰频率(kHz)干扰幅度检测频率(kHz)频差(Hz)频差权系数(Hz)频差误差(Hz)幅-相权系数跟踪幅度幅度误差
    970.597.1–100–100.000018871.887e-50.48757903–0.110755110.50000000<1e-8
    1060.42105.955050.000047694.769e-50.40969754–0.092455140.42000003<3e-8
    931.192.808192192.000017301.730e-51.093862170.116041181.10000000<1e-8
    112.30.73112.7–400–400.000002672.67e-60.70671391–0.182908320.73000000<1e-8
    87.20.5787.232–32–31.999985251.475e-50.569164820.030844740.57000000<1e-8
    102.51.35102.4356564.999962043.796e-51.348538100.062809191.35000000<1e-8
    下载: 导出CSV

    表  2  6个干扰+10 dB白噪声环境WF-NF滤波统计(360 ms处)

    干扰频率(kHz)干扰幅度检测频率(kHz)频差(Hz)频差权系数(Hz)频差误差(Hz)幅-相权系数跟踪幅度幅度误差
    970.597.1–100–99.924675150.075324850.49562550
    –0.04787083
    0.497931970.00206803
    1060.42105.955049.979711790.020288210.39140512
    0.13824263
    0.415101180.00489882
    931.192.808192192.057017430.057017431.07620635
    0.19766220
    1.094207680.00579232
    112.30.73112.7–400–399.919777360.080222640.69925836
    –0.19905053
    0.727037390.00296261
    87.20.5787.232–32–31.893632650.106367350.56605044
    –0.02030129
    0.566414380.00358562
    102.51.35102.4356564.925591310.074408691.33417085
    0.19034451
    1.347680560.00231944
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-01-12
  • 修回日期:  2022-05-24
  • 网络出版日期:  2022-06-06
  • 刊出日期:  2023-03-10

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