• Optics and Precision Engineering
  • Vol. 32, Issue 1, 33 (2024)
Jie BAO, Xingtan LIU, Jianwu CHEN, Lin LI, and Chunhui ZHAO*
Author Affiliations
  • Space Optoelectronic Measurement and Perception Laboratory, Beijing Institute of Control Engineering, Beijing100190, China
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    DOI: 10.37188/OPE.20243201.0033 Cite this Article
    Jie BAO, Xingtan LIU, Jianwu CHEN, Lin LI, Chunhui ZHAO. Error modeling and sensitivity analysis for space-borne InSAR baseline configuration measurement[J]. Optics and Precision Engineering, 2024, 32(1): 33 Copy Citation Text show less
    Baseline measurement system of InSAR(one side)
    Fig. 1. Baseline measurement system of InSAR(one side)
    Baseline measurement system coordinates(right side)
    Fig. 2. Baseline measurement system coordinates(right side)
    Baseline of dual antenna InSAR
    Fig. 3. Baseline of dual antenna InSAR
    Error distribution and simulation flow chart
    Fig. 4. Error distribution and simulation flow chart
    Influence of installation angle of measuring device on length sensitivity
    Fig. 5. Influence of installation angle of measuring device on length sensitivity
    Influence of installation angle of measuring device on angle sensitivity
    Fig. 6. Influence of installation angle of measuring device on angle sensitivity
    Synthesis simulation result of baseline measurement error
    Fig. 7. Synthesis simulation result of baseline measurement error
    坐标系原 点

    Baseline-sensor

    (基线测量系,±Y

    B点为基线测量装置在整星安装的基准点
    Target(靶标系,±YT点为靶标相位中心
    Antenna(天线系,±YA点为天线几何中心
    Star-sensor(星本体系)S点为整星星敏安装基准点
    Orbit(卫星轨道系)O点为轨道系基准点
    Table 1. Definition of coordinate system
    坐标系转换关系
    A-A'-T

    TA'A:在A'系下表示的AA'系的平移矢量

    TTA':在T系下表示的A'到T系的平移矢量

    RA'AAA'系的旋转矩阵

    RTA'A'到T系的旋转矩阵

    T-BTBT:在B系下表示的TB系的平移矢量
    RBTTB系的旋转矩阵
    B-STSB:在S系下表示的BS系的平移矢量
    RSBBS系的旋转矩阵
    S-OTOS:在O系下表示的SO系的平移矢量
    ROSSO系的旋转矩阵
    Table 2. Coordinate transformation definition
    位置参数灵敏度角度参数灵敏度
    坐标系参 数灵敏度(μm/μm)坐标系参 数灵敏度(μm/asec)
    (6)T2-A2Y0.999 97(4)S-B2JX14.053 34
    (4)S-B2Y0.999 97(1)S-B1JX13.964 52
    (1)S-B1Y0.999 97(1)S-B1JZ11.152 13
    (5)B2-T2Y0.999 81(4)S-B2JZ6.343 67
    (2)B1-T1Y0.999 52(5)B2-T2JX3.243 61
    (3)T1-A1'Y0.999 07(5)B2-T2JZ2.432 46
    (6+)A2'-A2Y0.842 82(2)B1-T1JZ2.332 3
    (3+)A1'-A1Y0.824 41(2)B1-T1JX1.548 68
    (3+)A1'-A1Z0.565 72(3)T1-A1'JX0.811 09
    (6+)A2'-A2Z0.537 89(6)T2-A2JX0.799 78
    (3)T1-A1'X0.034 62(1)S-B1JY0.361 01
    (3)T1-A1'Z0.025 75(4)S-B2JY0.131 82
    (2)B1-T1X0.025 75(5)B2-T2JY0.039 89
    (6+)A2'-A2X0.017 87(6)T2-A2'JZ0.020 14
    (3+)A1'-A1X0.017 63(6)T2-A2'JY0.014 34
    (2)B1-T1Z0.017 33(3)T1-A1'JY0.014 15
    (5)B2-T2Z0.016 96(2)B1-T1JY0.013 67
    (5)B2-T2X0.009 15(3)T1-A1'JZ0.008 06
    (1)S-B1X0.008 30
    (4)S-B2X0.008 30
    (6)T2-A2'Z0.008 23
    (1)S-B1Z0.000 34
    (4)S-B2Z0.000 34
    (6)T2-A2'X0.000 27
    Table 3. Baseline length error sensitivity
    位置参数灵敏度角度参数灵敏度
    坐标系参 数灵敏度(asec/μm)坐标系参 数灵敏度(asec/asec)
    (2)B1-T1Z0.001 653(4)S-B2JX0.502 61
    (5)B2-T2Z0.001 653(1)S-B1JX0.489 61
    (1)S-B1Z0.001 652(4)S-B2JZ0.017 41
    (3)T1-A1'Z0.001 652(1)S-B1JZ0.016 94
    (4)S-B2Z0.001 652(4)S-B2JY0.007 54
    (6)T2-A2Z0.001 652(1)S-B1JY0.007 54
    (6+)A2'-A2Z0.001 394(2)B1-T1JX0.004 64
    (3+)A1'-A1Z0.001 363(5)B2-T2JY0.004 11
    (3+)A1'-A1Y0.000 935(2)B1-T1JY0.004 06
    (6+)A2'-A2Y0.000 889(5)B2-T2JX0.003 39
    Table 4. Baseline angle error sensitivity
    位置参数灵敏度角度参数灵敏度
    坐标系参 数灵敏度(asec/μm)坐标系参 数灵敏度(asec/asec)
    (1)S-B1X0.000 057(6)T2-A2JX0.000 58
    (4)S-B2X0.000 057(3)T1-A1'JX0.000 54
    (6)T2-A2X0.000 043(5)B2-T2JZ0.000 13
    (3)T1-A1'Y0.000 041(6)T2-A2JZ0.000 02
    (5)B2-T2Y0.000 029(2)B1-T1JZ0.000 01
    (2)B1-T1X0.000 028(3)T1-A1'JY0.000 01
    (5)B2-T2X0.000 028(6)T2-A2JY0.000 01
    (2)B1-T1Y0.000 027(3)T1-A1'JZ0.000 00
    (3+)A1'-A1X0.000 015
    (6)T2-A2Y0.000 015
    (3)T1-A1'X0.000 014
    (6+)A2'-A2X0.000 014
    (1)S-B1Y0.000 001
    (4)S-B2Y0.000 001
    Table 4. Baseline angle error sensitivity
    变量系统误差随机误差(3σ
    标定残差测量误差力热变形长期稳定漂移
    X50 μm300 μm100 μm5 μm
    Y50 μm300 μm30 μm10 μm
    Z50 μm300 μm100 μm0 μm
    AX5″50″3″0″
    AY5″50″10″0″
    AZ5″50″3″0″
    Table 5. Error distribution(B1-T1
    Jie BAO, Xingtan LIU, Jianwu CHEN, Lin LI, Chunhui ZHAO. Error modeling and sensitivity analysis for space-borne InSAR baseline configuration measurement[J]. Optics and Precision Engineering, 2024, 32(1): 33
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