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Cram er Rao Bound Analysis for Cooperative Positioning in Intelligent Transportation Systems Jelena Gabela 1 Salil Goel 2 Allison Kealy 2 Mark Hedley 3 Bill Moran 1 Simon Williams 2 1 University of Melbourne, 2 RMIT, 3 CSIRO Data61 February 7,


  1. Cram´ er Rao Bound Analysis for Cooperative Positioning in Intelligent Transportation Systems Jelena Gabela 1 Salil Goel 2 Allison Kealy 2 Mark Hedley 3 Bill Moran 1 Simon Williams 2 1 University of Melbourne, 2 RMIT, 3 CSIRO Data61 February 7, 2018

  2. Introduction (1) Urban environment = GNSS challenging environment

  3. Introduction (2) • Intelligent Transport Systems (ITS) • Rigid accuracy, integrity and availability requirements ⇒ Cooperative Positioning (CP) • Aim ⇒ demonstrate benefits of CP in ad-hoc network of 4 vehicles and 15 infrastructure nodes • Posterior Cram´ er Rao Bound → theoretically best achievable performance

  4. Vehicle-to-Infrastructure (V-2-I) cooperative positioning

  5. Vehicle-to-Vehicle (V-2-V) cooperative positioning

  6. V-2-V + V-2-I cooperative positioning

  7. Centralised Cooperative Positioning Framework • Extended Kalman Filter ⇒ integration of GNSS and Ultra-WideBand • Simulated ad-hoc network • 4 mobile nodes ⇒ vehicles • 15 infrastructure nodes • Available measurements • GPS determined positions for 3 vehicles • Relative ranges between all vehicles • Relative ranges between vehicle without GPS and infrastructure nodes

  8. Simulated trajectory (1)

  9. Simulated trajectory (2)

  10. Results (1) Vehicle-to-Infrastructure cooperative positioning

  11. Results (2) Vehicle-to-Infrastructure cooperative positioning

  12. Results (3) Vehicle-to-Infrastructure cooperative positioning

  13. Results (4) Vehicle-to-Infrastructure cooperative positioning

  14. Results (5) Vehicle-to-Vehicle cooperative positioning

  15. Results (6) Vehicle-to-Vehicle cooperative positioning

  16. Results (7) Vehicle-to-Vehicle cooperative positioning

  17. Results (8) V-2-I + V-2-V cooperative positioning

  18. Results (9) V-2-I + V-2-V cooperative positioning

  19. Conclusions and future work • Theoretically best performance • In turns ⇒ less than 40 cm • On straight parts ⇒ ∼ 10 cm • Promising start in developing a cooperative positioning system appropriate for ITS • Fixed network of infrastructure nodes helps to constrain the accuracy of solution • ITS = real-time application ⇒ trustworthiness! • In future: • Integrating existing solution with IMU • Modify EKF - GNSS pseudoranges • Experimental validation and evaluation based on collected data

  20. Thank you!

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