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岸基BDS-R海面测高及其观测值加权方法

侯金华 贺凯飞 高凡 储倜 吴宇

侯金华,贺凯飞,高凡,等. 岸基BDS-R海面测高及其观测值加权方法[J]. 北京航空航天大学学报,2024,50(3):1015-1026 doi: 10.13700/j.bh.1001-5965.2022.0360
引用本文: 侯金华,贺凯飞,高凡,等. 岸基BDS-R海面测高及其观测值加权方法[J]. 北京航空航天大学学报,2024,50(3):1015-1026 doi: 10.13700/j.bh.1001-5965.2022.0360
HOU J H,HE K F,GAO F,et al. Shore-based BDS-R sea surface altimetry and weighting method of its observed values[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(3):1015-1026 (in Chinese) doi: 10.13700/j.bh.1001-5965.2022.0360
Citation: HOU J H,HE K F,GAO F,et al. Shore-based BDS-R sea surface altimetry and weighting method of its observed values[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(3):1015-1026 (in Chinese) doi: 10.13700/j.bh.1001-5965.2022.0360

岸基BDS-R海面测高及其观测值加权方法

doi: 10.13700/j.bh.1001-5965.2022.0360
基金项目: 国家自然科学基金(42174021);山东省自然科学基金(ZR2021MD060)
详细信息
    通讯作者:

    E-mail:kfhe@upc.edu.cn

  • 中图分类号: V221+.3;TB553

Shore-based BDS-R sea surface altimetry and weighting method of its observed values

Funds: National Natural Science Foundation of China (42174021); Shandong Provincial Natural Science Foundation (ZR2021MD060)
More Information
  • 摘要:

    随着北斗三号卫星导航系统(BDS-3)的全球组网完成,其反射信号在全球导航卫星系统反射测量(GNSS-R) 海面测高领域的应用也更加广泛。为研究BDS-3 B1C反射信号码延迟海面测高性能,以及多星测高数据组合方法,进行了基于B1C码信号的双天线岸基北斗卫星导航系统反射测量(BDS-R)码延迟海面测高实验。利用自主研发的GNSS-R测高软件接收机对实验数据进行事后处理,将测高结果与岸基同步观测的雷达测高仪所测海面高度值进行对比分析,并基于反射信号信噪比(SNR)和卫星高度角加权的方法对多星测高观测值进行加权计算,评定BDS-R海面测高精度。结果表明:自主研发的GNSS-R测高软件接收机可用于海面测高,基于B1C码信号的BDS-R海面测高精度有达到分米级的可能性;根据10 s观测数据平滑可以得到,单颗卫星B1C码信号最优测高结果的均方根误差(RMSE)为0.634 m,平均绝对误差(MAE)为0.507 m,多星测高观测值加权组合最优结果的均方根误差为0.538 m,平均绝对误差为0.500 m,明显优于单星观测精度,最大可提升70%,最小可提升17%;针对同一信号多星GNSS-R测高数据加权方法,应用综合考虑卫星高度角和反射信号信噪比的加权模型优于其他加权模型,测高精度分别比信噪比分段模型、正弦函数模型、指数函数模型、等权模型提升9.4%、9.5%、20.5%、35.2%。

     

  • 图 1  双天线岸基BDS-R码延迟测高几何模型

    Figure 1.  Geometric model of dual antenna shore-based BDS-R code delay altimetry

    图 2  B1C码信号导频分量自相关函数

    Figure 2.  Autocorrelation function of B1C code signal pilot component

    图 3  GNSS-R软件接收机海面测高流程

    Figure 3.  Flow chart of GNSS-R software receiver sea surface altimetry

    图 4  实验场地与实验设备

    Figure 4.  Experimental site and equipments

    图 5  C25卫星反射信号信噪比与测高残差变化

    Figure 5.  Change of SNR and altimetry residual of C25 satellite reflection signal

    图 6  观测时段BDS-3可见卫星高度角与天顶轨迹(北京时间)

    Figure 6.  Elevation and zenith trajectory of BDS-3 visible satellite during observation period (UTC+8)

    图 7  海面测高原始观测值

    Figure 7.  Sea surface altimetry raw observations

    图 8  卫星高度角对测高结果的影响

    Figure 8.  Effect of satellite elevation on altimetry results

    图 9  单颗卫星海面测高10 s平滑结果及残差

    Figure 9.  10 s smoothing results of single satellite observations sea surface altimetry and residuals

    图 10  多星原始观测值加权组合海面测高结果

    Figure 10.  Weighted combined sea surface altimetry results of multi-satellite raw observations

    图 11  多星观测值加权组合10 s平滑测高结果及残差

    Figure 11.  Weighted combined 10 s smoothed altimetry results and residuals of multi-satellite observations

    表  1  B1C码信号结构

    Table  1.   Signal structure of B1C code

    信号分量 载波频率/MHz 调制方式 相位关系/(°) 功率比 符号速率/(symbol·s−1)
    数据分量 1575.42 正弦BOC(1,1) 0 1/4 100
    导频分量 1575.42 QMBOC(6,1,4/33) 正弦BOC(1,1) 90 29/44 0
    正弦BOC(6,1) 0 1/11
    下载: 导出CSV

    表  2  B1C码信号测距码参数

    Table  2.   B1C code signal ranging code parameters

    信号分量 主码码型 主码码长 主码周期/ms 子码码型 子码码长 子码周期/ms
    数据分量 Weil码截短 10230 10
    导频分量 Weil码截短 10230 10 Weil码截短 1800 18000
    下载: 导出CSV

    表  3  B1C码信号码延迟海面测高精度

    Table  3.   Accuracy of code delay sea surface altimetry of B1C code signal

    卫星编号 卫星轨道类型 均方根误差/m 标准差/m 平均绝对误差/m 最大误差/m 最小误差/m
    C25 MEO 0.634 0.407 0.507 4.459 −0.848
    C33 MEO 0.771 0.756 0.556 1.417 −2.181
    C34 MEO 0.841 0.839 0.637 1.260 −6.710
    C38 IGSO 1.097 0.921 0.863 7.104 −2.809
    C41 MEO 1.216 0.692 1.004 3.923 −0.457
    C43 MEO 1.446 1.166 1.027 8.603 −3.192
    下载: 导出CSV

    表  4  多星观测值加权组合海面测高精度

    Table  4.   Sea surface altimetry accuracy of weighted combination of multi-satellite observations

    加权模型 均方根误差/m 标准差/m 平均绝对误差/m
    等权模型 1.451 1.315 1.045
    正弦函数模型 1.039 0.921 0.798
    指数函数模型 1.183 1.075 0.867
    信噪比分段模型 1.038 0.862 0.791
    综合加权模型 0.940 0.785 0.716
    下载: 导出CSV

    表  5  单颗卫星测高与多星加权组合测高精度比较(07:40—10:00)

    Table  5.   Comparison of accuracy between single satellite altimetry and multi-satellite weighted combination altimetry (07:40—10:00)

    观测类型 均方根误差/m 标准差/m 平均绝对误差/m 最大误差/m 最小误差/m
    单星 C25 1.173 1.061 0.865 7.397 −7.419
    C34 1.368 1.344 0.976 6.901 −7.141
    C38 2.626 2.469 1.995 11.921 −10.218
    C43 2.875 2.785 1.937 20.766 −12.729
    多星 正弦函数模型 1.092 0.919 0.839 20.766 −12.729
    信噪比分段模型 1.088 0.880 0.827 20.766 −12.729
    综合加权模型 0.971 0.796 0.733 20.766 −12.729
    下载: 导出CSV

    表  6  单颗卫星测高与多星加权组合测高精度比较(13:30—15:00)

    Table  6.   Comparison of accuracy between single satellite altimetry and multi-satellite weighted combination altimetry (13:30—15:00)

    观测类型 均方根误差/m 标准差/m 平均绝对误差/m 最大误差/m 最小误差/m
    单星 C33 1.219 1.209 0.862 7.407 −6.399
    C38 1.543 1.490 1.178 4.803 −6.039
    C41 2.063 1.814 1.453 16.332 −8.096
    C43 2.767 2.675 2.035 16.014 −10.001
    多星 正弦函数模型 0.856 0.850 0.678 4.750 −3.852
    信噪比分段模型 0.873 0.778 0.686 4.744 −3.362
    综合加权模型 0.842 0.741 0.666 4.887 −3.522
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-05-16
  • 录用日期:  2022-08-29
  • 网络出版日期:  2022-09-19
  • 整期出版日期:  2024-03-27

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