Skip to main content

Multi-sensors 3D Fusion in the Presence of Sensor Biases

  • Conference paper
  • First Online:
Book cover Advances in Information and Communication Networks (FICC 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 886))

Included in the following conference series:

  • 1063 Accesses

Abstract

In this paper, we study the problem fusion data from multi-sensors in presence of biases. We discuss both approaches, measurement data level, and track sensor level. A previous algorithm for local track fusion using a pseudo-equation with Jacobian matrix is presented for 2D sensors. In 2D case, this algorithm worked well and gave an equivalent performance and higher computational efficiency comparing with exact Kalman filter method. We extend the algorithm to 3D sensors to know how it works in this case. It is not totally straightforward when the computation of Jacobian matrix in 3D is very complex. We give the computation true Jacobian matrix for pseudo-equation using MATLAB and also give a simpler approximation Jacobian matrix. This helps to improve computational efficiency. The simulation compares the performance of the methods: Local track fusion and measurement fusion in the other cases as two sensors, four sensors, track fusion using Jacobian matrix, approximate Jacobian matrix.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bar-Shalom, Y.: On the track-to-track correlation problem. IEEE Trans. Autom. Control. 26(2), 571–572 (1981)

    Article  MathSciNet  Google Scholar 

  2. Bar-Shalom, Y., Blair, W.D.: Multitarget-Multisensor Tracking: Applications and Advances, vol. III. Artech House Inc., Norwood (2000)

    Google Scholar 

  3. Bar-Shalom, Y., Campo, L.: The effect of the common process noise on the two-sensor fused-track covariance. IEEE Trans. Aerosp. Electron. Syst. 6, 803–805 (1986)

    Article  Google Scholar 

  4. Bar-Shalom, Y., Li, X.R.: Multitarget-Multisensor Tracking: Principles and Techniques, vol. 19. YBs, London (1995)

    Google Scholar 

  5. Bar-Shalom, Y., Li, X.R., Kirubarajan, T.: Estimation with Applications to Tracking and Navigation: Theory Algorithms and Software. Wiley, Hoboken (2004)

    Google Scholar 

  6. El-Badawy, E., Abd-ElShahid, T., Hafez, A.: A real time 3d multi target data fusion for multistatic radar network tracking. Session 1P0, p. 331 (2014)

    Google Scholar 

  7. Friedland, B.: Treatment of bias in recursive filtering. IEEE Trans. Autom. Control. 14(4), 359–367 (1969)

    Article  MathSciNet  Google Scholar 

  8. Ignagni, M.: An alternate derivation and extension of friendland’s two-stage kalman estimator. IEEE Trans. Autom. Control. 26(3), 746–750 (1981)

    Article  MathSciNet  Google Scholar 

  9. Ignagni, M.: Optimal and suboptimal separate-bias kalman estimators for a stochastic bias. IEEE Trans. Autom. Control. 45(3), 547–551 (2000)

    Article  MathSciNet  Google Scholar 

  10. Lin, X., Bar-Shalom, Y., Kirubarajan, T.: Exact multisensor dynamic bias estimation with local tracks. IEEE Trans. Aerosp. Electron. Syst. 40(2), 576–590 (2004)

    Article  Google Scholar 

  11. Lin, X., Bar-Shalom, Y., Kirubarajan, T.: Multisensor multitarget bias estimation for general asynchronous sensors. IEEE Trans. Aerosp. Electron. Syst. 41(3), 899–921 (2005)

    Article  Google Scholar 

  12. Nabaa, N., Bishop, R.: Solution to a multisensor tracking problem with sensor registration errors. IEEE Trans. Aerosp. Electron. Syst. 35(1), 354–363 (1999)

    Article  Google Scholar 

  13. Okello, N.N., Challa, S.: Joint sensor registration and track-to-track fusion for distributed trackers. IEEE Trans. Aerosp. Electron. Syst. 40(3), 808–823 (2004)

    Article  Google Scholar 

  14. Raol, J.R.:. Multi-sensor Data Fusion with MATLAB®. CRC Press, Boca Raton (2009)

    Google Scholar 

  15. Taghavi, E., Tharmarasa, R., Kirubarajan, T., Bar-Shalom, Y., Mcdonald, M.: A practical bias estimation algorithm for multisensor-multitarget tracking. IEEE Trans. Aerosp. Electron. Syst. 52(1), 2–19 (2016)

    Article  Google Scholar 

  16. van Doorn, B., Blom, H.: Systematic error estimation in multisensor fusion systems. In: Optical Engineering and Photonics in Aerospace Sensing, pp. 450–461. International Society for Optics and Photonics (1993)

    Google Scholar 

  17. Zhu, H., Chen, S.: Track fusion in the presence of sensor biases. IET Signal Process. 8(9), 958–967 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cong Dan Pham .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Pham, C.D., Bui Tang, B.N., Nguyen, Q.B., Le Tran, S. (2019). Multi-sensors 3D Fusion in the Presence of Sensor Biases. In: Arai, K., Kapoor, S., Bhatia, R. (eds) Advances in Information and Communication Networks. FICC 2018. Advances in Intelligent Systems and Computing, vol 886. Springer, Cham. https://doi.org/10.1007/978-3-030-03402-3_9

Download citation

Publish with us

Policies and ethics