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Linear Estimation of Deterministic Accelerometer Errors

Julien Burkhard, Aman Sharma and Jan Skaloud
NAVIGATION: Journal of the Institute of Navigation September 2024, 71 (3) navi.656; DOI: https://doi.org/10.33012/navi.656
Julien Burkhard
Environmental Sensing Observatory (ESO), Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
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Aman Sharma
Environmental Sensing Observatory (ESO), Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
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Jan Skaloud
Environmental Sensing Observatory (ESO), Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
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    FIGURE 1

    Simulation results

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    FIGURE 2

    (a) Lab test scenario (L1 and L2) at Ecole Polytechnique Federale de Lausanne; (b) field test scenario (F1 and F2) at Vufflens-la-ville, Switzerland

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    TABLE 1

    Field Test Results Highlighting the i) Norm of Bias, ii) Mean Scale Factor, and iii) Mean Non-Orthogonality

    Test (Method)IMUEstimated Bias [mg]Estimated 3σ Bias [mg]Datasheet Bias 1σ [mg]Estimated Scale [ppm]Estimated Non-Ortho. [deg]Datasheet Non-Ortho. [deg]
    L1 (full LLS)dahu 00.86±0.201.48530.020.05
    dahu 10.76±0.209360.03
    dahu 20.96±0.208100.01
    dahu 30.80±0.209130.01
    L2 (full LLS)dahu 00.70±0.2410810.03
    dahu 10.60±0.249960.03
    dahu 21.05±0.249390.01
    dahu 30.82±0.249910.01
    F1 (bias-only LLS)dahu 01.45±0.38-
    dahu 11.40±0.38
    dahu 21.45±0.38
    dahu 31.69±0.38
    F2 (bias-only LLS)dahu 00.80±0.38
    dahu 10.62±0.38
    dahu 21.11±0.38
    dahu 31.00±0.38
    F1 (bias-only LLS)stim3.46±0.041.5
    F2 (bias-only LLS)stim1.83±0.04

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NAVIGATION: Journal of the Institute of Navigation: 71 (3)
NAVIGATION: Journal of the Institute of Navigation
Vol. 71, Issue 3
Fall 2024
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Linear Estimation of Deterministic Accelerometer Errors
Julien Burkhard, Aman Sharma, Jan Skaloud
NAVIGATION: Journal of the Institute of Navigation Sep 2024, 71 (3) navi.656; DOI: 10.33012/navi.656

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Linear Estimation of Deterministic Accelerometer Errors
Julien Burkhard, Aman Sharma, Jan Skaloud
NAVIGATION: Journal of the Institute of Navigation Sep 2024, 71 (3) navi.656; DOI: 10.33012/navi.656
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Keywords

  • deterministic accelerometer error
  • least squares
  • linear systems
  • singular value decomposition

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