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低频多跳天波时延估计算法比较

穆中林 王桥桥 周丽丽 胡欣悦 何立风

穆中林,王桥桥,周丽丽,等. 低频多跳天波时延估计算法比较[J]. 电波科学学报,2022,37(2):244-250. DOI: 10.12265/j.cjors.2021262
引用本文: 穆中林,王桥桥,周丽丽,等. 低频多跳天波时延估计算法比较[J]. 电波科学学报,2022,37(2):244-250. DOI: 10.12265/j.cjors.2021262
MU Z L, WANG Q Q, ZHOU L L, et al. Comparison of low frequency multi-hop sky wave delay estimation algorithms[J]. Chinese journal of radio science,2022,37(2):244-250. (in Chinese). DOI: 10.12265/j.cjors.2021262
Citation: MU Z L, WANG Q Q, ZHOU L L, et al. Comparison of low frequency multi-hop sky wave delay estimation algorithms[J]. Chinese journal of radio science,2022,37(2):244-250. (in Chinese). DOI: 10.12265/j.cjors.2021262

低频多跳天波时延估计算法比较

doi: 10.12265/j.cjors.2021262
基金项目: 国家自然科学基金(62171265)
详细信息
    作者简介:

    穆中林:(1981—),男,江苏人,空军工程大学航空工程学院讲师,博士,研究方向为航空火力指挥与控制、作战效能评估

    王桥桥:(1995—),女,陕西人,陕西科技大学电气与控制工程学院硕士研究生,研究方向为控制工程

    周丽丽:(1981—),女,江苏人,陕西科技大学电子信息与人工智能学院副教授,博士,研究方向为电波传播理论、电磁场数值计算

    通讯作者:

    周丽丽 E-mail: zhoulili@sust.edu.cn

  • 中图分类号: TN957

Comparison of low frequency multi-hop sky wave delay estimation algorithms

  • 摘要: 低频天波传播时延的准确预测对其在远程导航授时中的应用潜力挖掘具有重要意义. 为了获得地-电离层波导中低频多跳天波模式的传播时延特性,同时验证典型多径时延估计算法在不同信道环境下的作用性能,文中首先采用时域有限差分(finite-difference time-domain, FDTD)电磁计算方法对不同电离层反射情况下的距发射台400 km处地面接收的低频天地波耦合总场进行正演预测,然后分别基于快速傅里叶变换(fast Fourier transform, FFT)/快速傅里叶逆变换(inverse fast Fourier transform, IFFT)频谱相除、多重信号分类(multiple signal classification, MUSIC)和旋转不变技术信号参数估计(estimating signal parameters via rotational invariance techniques, ESPRIT)三种算法对电磁场数值预测结果进行后处理,解耦得到不同模式(地波、一跳天波、二跳天波、三跳天波及四跳天波)的时延,并在此基础上分析比较了无噪声和信噪比(signal-noise ratio, SNR)为0 dB、−5 dB以及−10 dB情况下三种算法对多跳天波的时延估计结果. 结果表明,波跳次数越高,算法的检测能力越差. 对于文中所模拟的信道条件,在弱噪声(SNR=0 dB)、电离层强反射时,FFT/IFFT算法结果精度最高,时延误差不超过400 ns;而在强噪声(SNR= −10 dB)、电离层弱反射时,ESPRIT算法稳定性最好,误差范围在5 μs以内.
  • 图  1  距发射台400 km处三种传输信道中接收到的耦合电场脉冲

    Fig.  1  Coupled electric field pulses received in different transmission channels 400 km from the transmitter

    图  2  基于FFT/IFFT频谱相除算法对三种传输信道中不同模式波的时延估计(无噪声)

    Fig.  2  Time delay estimation of different mode waves in different transmission channels based on FFT/IFFT spectral division algorithm (noiseless)

    图  3  基于FFT/IFFT频谱相除算法对三种传输信道中不同模式波的时延估计(SNR= −10 dB)

    Fig.  3  Time delay estimation of different mode waves in different transmission channels based on FFT/IFFT spectral division algorithm (SNR= −10 dB)

    图  4  基于MUSIC算法对三种传输信道中不同模式波的时延估计(无噪声)

    Fig.  4  Time delay estimation of different mode waves in different transmission channels based on MUSIC algorithm (noiseless)

    图  5  基于MUSIC算法对三种传输信道中不同模式波的时延估计(SNR= −10 dB)

    Fig.  5  Time delay estimation of different mode waves in different transmission channels based on MUSIC algorithm (SNR= −10 dB)

    表  1  不同加噪条件下基于三种算法估计得到的多跳天波时延结果

    Tab.  1  Time delay results of multi-hop sky waves estimated by three algorithms under different noise conditions

    模型信道类型算法$ {\tau _1} $/μs$ \Delta {\tau _1} $/μs$ {\tau _2} $/μs$ \Delta {\tau _2} $/μs$ {\tau _3} $/μs$ \Delta {\tau _3} $/μs$ {\tau _4} $/μs$ \Delta {\tau _4} $/μs
    1无噪声FFT/IFFT1392.476 0.0001555.391 0.0001794.323 0.0002083.150 0.000
    MUSIC1397.400 4.9241555.200−0.1911793.900−0.4232082.500−0.650
    ESPRIT1393.904 1.4281555.676 0.2851790.767−3.5562087.914 4.764
    SNR=0 dBFFT/IFFT1392.476 0.0001555.391 0.0001794.386 0.0632082.838−0.312
    MUSIC1398.100 5.6241554.600−0.7911792.600−1.7232078.500−4.650
    ESPRIT1392.500 0.0241555.234−0.1571791.910−2.4132088.500 5.350
    SNR= −5 dBFFT/IFFT1392.476 0.0001545.451−9.9401794.261−0.0622092.822 9.672
    MUSIC1395.700 3.2241553.200−2.1911792.600−1.7232084.200 1.050
    ESPRIT1394.408 1.9321553.298−2.0931793.900−0.4232087.543 4.393
    SNR= −10 dBFFT/IFFT1392.602 0.1261564.830 9.4391804.57610.253--
    MUSIC1394.400 1.9241565.000 9.6091790.800−3.523--
    ESPRIT1393.954 1.4781555.496 0.1051790.797−3.526--
    2无噪声FFT/IFFT1394.103 0.0001557.079 0.000----
    MUSIC1394.000−0.103------
    ESPRIT1393.724−0.379------
    SNR=0 dBFFT/IFFT1388.225−5.878------
    MUSIC1393.700−0.403------
    ESPRIT1394.002−0.101------
    SNR= −5 dBFFT/IFFT1398.103 4.000------
    MUSIC1395.300 1.197------
    ESPRIT1396.467 2.364------
    SNR= −10 dBFFT/IFFT1398.352 4.249------
    MUSIC1392.900−1.203------
    ESPRIT1394.334 0.231------
    3无噪声FFT/IFFT1389.726 0.0001545.201 0.0001774.631 0.0002053.074 0.000
    MUSIC1394.700 4.9741545.200−0.0011775.200 0.5692051.200−1.874
    ESPRIT1393.904 4.1781545.618 0.4171774.732 0.1012052.902−0.172
    SNR=0 dBFFT/IFFT1389.663−0.0631545.138−0.0631774.631 0.0002053.448 0.374
    MUSIC1395.500 5.7741545.500 0.2991774.300−0.3312048.700−4.374
    ESPRIT1392.125 2.3991545.421 0.2201773.603−1.0282051.078−1.996
    SNR= −5 dBFFT/IFFT1389.663−0.0631545.263 0.0621774.691 0.0602062.808 9.734
    MUSIC1392.300 2.5741544.900−0.3011775.200 0.5692063.30010.226
    ESPRIT1394.705 4.9791546.001 0.8001774.622−0.0092055.072 1.998
    SNR= −10 dBFFT/IFFT1389.601−0.1251544.888−0.3131784.508 9.8772034.167−19.907
    MUSIC1388.000−1.7261540.200−5.0011778.000 3.369--
    ESPRIT1393.726 4.0001540.201−5.0001776.632 2.001--
    下载: 导出CSV
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  • 收稿日期:  2021-09-22
  • 录用日期:  2022-01-05
  • 网络出版日期:  2022-01-05

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