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NAVIGATION: Journal of the Institute of Navigation

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Research ArticleOriginal Article
Open Access

Asynchronous Method of Simultaneous Object Position and Orientation Estimation with Two Transmitters

Jacek Stefanski and Jaroslaw Sadowski
NAVIGATION: Journal of the Institute of Navigation December 2023, 70 (4) navi.601; DOI: https://doi.org/10.33012/navi.601
Jacek Stefanski
Faculty of Electronics, Telecommunications and Informatics, Gdansk University of Technology, Gdansk, Poland
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Jaroslaw Sadowski
Faculty of Electronics, Telecommunications and Informatics, Gdansk University of Technology, Gdansk, Poland
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  • FIGURE 1
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    FIGURE 1

    Example of a sensor network structure in which the proposed method can be implemented

  • FIGURE 2
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    FIGURE 2

    The ADoA case in the system under consideration

  • FIGURE 3
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    FIGURE 3

    Distribution of PDoP values for five BSs: a) MS transmitter spacing of 0.01R, b) MS transmitter spacing of 0.03R, c) MS transmitter spacing of 0.1R

  • FIGURE 4
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    FIGURE 4

    RMSE of MS position estimation in the function of the variance of distance difference measurement errors (σ2) for NA and CRLB for different numbers of BSs: a) MS transmitter spacing of 0.01R, b) MS transmitter spacing of 0.03R, c) MS transmitter spacing of 0.1R

  • FIGURE 5
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    FIGURE 5

    CDFs of the absolute position error δ for the proposed method using NA It was assumed that Embedded Image for the measurement error of the distance differences.

  • FIGURE 6
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    FIGURE 6

    CDFs of the absolute position error δ for the proposed method using NA It was assumed that Embedded Image for the measurement error of the distance differences.

  • FIGURE 7
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    FIGURE 7

    CDFs of the absolute position error δ for the proposed method using NA It was assumed that Embedded Image for the measurement error of the distance differences.

  • FIGURE 8
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    FIGURE 8

    CDFs of the orientation error δorient for the proposed method using NA It was assumed that Embedded Image for the measurement error of the distance differences.

  • FIGURE 9
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    FIGURE 9

    CDFs of the orientation error δorient for the proposed method using NA It was assumed that Embedded Image for the measurement error of the distance differences.

  • FIGURE 10
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    FIGURE 10

    CDFs of the orientation error δorient for the proposed method using NA It was assumed that Embedded Image for the measurement error of the distance differences.

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    TABLE 1

    Percentage of Incorrect Solutions as a Function of BS Number

    Number of base stationsPercentage of incorrect solutions
    One initial position with fixed orientationOne initial position with variable orientation
    334.928.2
    4---17.4
    513.51.69
    612.14.57
    710.00.41
    88.60.83
    97.70.064
    107.20.39
    116.00.038
    125.80.22

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NAVIGATION: Journal of the Institute of Navigation: 70 (4)
NAVIGATION: Journal of the Institute of Navigation
Vol. 70, Issue 4
Winter 2023
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Asynchronous Method of Simultaneous Object Position and Orientation Estimation with Two Transmitters
Jacek Stefanski, Jaroslaw Sadowski
NAVIGATION: Journal of the Institute of Navigation Dec 2023, 70 (4) navi.601; DOI: 10.33012/navi.601

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Asynchronous Method of Simultaneous Object Position and Orientation Estimation with Two Transmitters
Jacek Stefanski, Jaroslaw Sadowski
NAVIGATION: Journal of the Institute of Navigation Dec 2023, 70 (4) navi.601; DOI: 10.33012/navi.601
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  • Article
    • Abstract
    • 1 INTRODUCTION
    • 2 DESCRIPTION OF THE PROPOSED METHOD
    • 3 CALCULATING THE OJBECT POSITION
    • 4 PDoP FOR THE PROPOSED METHOD
    • 5 CRAMER–RAO LOWER BOUND
    • 6 SIMULATION RESULTS
    • 7 CONCLUSION
    • HOW TO CITE THIS ARTICLE
    • APPENDIX A
    • Footnotes
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Keywords

  • adoa
  • asynchronous method
  • radio navigation
  • wireless sensor networks

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