Skip to main content

Track-to-Track Fusion in Linear and Nonlinear Systems

  • Conference paper
Advances in Estimation, Navigation, and Spacecraft Control (ENCS 2012)

Abstract

This chapter starts with a review of the architectures for track-to-track fusion (T2TF). Based on whether the fusion algorithm uses the track estimates from the previous fusion and the configuration of information feedback, T2TF is categorized into six configurations, namely, T2TF with no memory with no, partial and full information feedback, and T2TF with memory with no, partial and full information feedback. The exact algorithms of the above T2TF configurations and the impact of information feedback on fusion accuracy are presented. Although (under the Linear Gaussian assumption) the exact T2TF algorithms yield theoretically consistent fusion results, their major drawback is the need of the crosscovariances of the tracks to be fused, which drastically complicates their implementation. The information matrix fusion (IMF) is a special case of T2TF with memory. Although it is heuristic when not conducted at full rate, it was shown to have consistent and near optimal fusion performance for practical tracking scenarios. Due to its simplicity, it is a good candidate for practical tracking systems. For the problem of asynchronous T2TF (AT2TF), a generalized version of the IMF is presented. It supports information feedback for AT2TF in the presence of communication delay, and was shown to have good consistency and close to optimal fusion accuracy. Finally the fusion of heterogenous tracks where the states at the local trackers are nonlinearly related and of different dimension is discussed. For the problem of the fusion of the track from an Interacting Multiple Model (IMM) estimator from an active sensor with the track from a passive sensor, a counterintuitive phenomenon that heterogenous T2TF may have better performance than the centralized measurement-to-track fusion approach (which is the known optimum in the linear case) is demonstrated and explained.

This work was supported by grants ARO W911NF-10-1-0369 and ONR N00014-10-1-0029.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bar-Shalom, Y., Li, X.R.: Multitarget-Multisensor Tracking: Principles and Techniques. YBS Publishing (1995)

    Google Scholar 

  2. Bar-Shalom, Y., Li, X.R., Kirubarajan, T.: Estimation with Applications to Tracking and Navigation: Algorithms and Software for Information Extraction. Wiley (2001)

    Google Scholar 

  3. Bar-Shalom, Y.: On the Track-to-Track Correlation Problem. IEEE Trans. on Automatic Control 26(2), 571–572 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  4. Bar-Shalom, Y., Campo, L.: The Effect of the Common Process Noise on the Two-Sensor Fused-Track Covariance. IEEE Trans on Aerospace and Electronic Systems 22(6), 803–804 (1986)

    Article  Google Scholar 

  5. Bar-Shalom, Y.: On Hierarchical Tracking for the Real World. IEEE Trans. on Aerospace and Electronic Systems 42(3), 846–850 (2006)

    Article  Google Scholar 

  6. Bar-Shalom, Y., Willet, P.K., Tian, X.: Target Tracking and Data Fusion: A Handbook of Algorithms. YBS Publishing (2011)

    Google Scholar 

  7. Challa, S., Legg, J., Wang, X.: Track-to-Track Fusion of Out-of-Sequence Tracks. In: Proc. 5th International Conference on Information Fusion, pp. 919–926 (2002)

    Google Scholar 

  8. Chang, K.C., Saha, R.K., Bar-Shalom, Y.: On Optimal Track-to-Track Fusion. IEEE Transactions on Aerospace and Electronic Systems 33(4), 1271–1276 (1997)

    Article  Google Scholar 

  9. Chang, K.C., Tian, Z., Saha, R.: Performance Evaluation of Track Fusion with Information Matrix Filter. IEEE Trans. on Aerospace and Electronic Systems 38(2), 455–466 (2002)

    Article  Google Scholar 

  10. Chong, C.Y.: Hierarchical Estimation. In: Proc. MIT/ONR Workshop on C3, Monterey, CA (1979)

    Google Scholar 

  11. Chong, C.Y., Mori, S., Chang, K.C.: Distributed Multitarget Multisensor Tracking. In: Bar-Shalom, Y. (ed.) Multitarget-Multisensor Tracking: Advanced Applications, ch. 8. Artech House, MA (1990)

    Google Scholar 

  12. Li, X.R., Zhu, Y.M., Wang, J., Han, C.Z.: Unified Optimal Linear Estimation Fusion–PartI: Unified Model and Fusion Rules. IEEE Transactions on Information Theory 49(9), 2192–2207 (2003)

    Article  MATH  Google Scholar 

  13. Mallick, M., Schimdt, S., Pao, L.Y., Chang, K.C.: Out-of-sequence track filtering using the decorrelated pseudo measurement approach. In: Proc. SPIE Conf. on Signal and Data Processing for Small Targets, vol. 5428(1), pp. 154–166 (2004)

    Google Scholar 

  14. Novoselsky, A., Sklarz, S.E., Dorfan, M.: Track to track Fusion using Out-of-Sequence Track Information. In: Proc. 10th International Conference on Information Fusion, Quebec City, Canada (2007)

    Google Scholar 

  15. Speyer, J.L.: Computation and Transmission Requirements for a Decentralized Linear-Quadratic-Gaussian Control Problem. IEEE Transactions on Automatic Control 24(2), 54–57 (1979)

    Article  Google Scholar 

  16. Tian, X., Bar-Shalom, Y.: Track-to-Track Fusion Configurations and Association in a Sliding Window. J. Advances in Information Fusion 4(2), 146–164 (2009)

    Google Scholar 

  17. Tian, X., Bar-Shalom, Y.: The optimal algorithm for asynchronous track-to-track fusion. In: Proc. SPIE Conference on Signal and Data Processing of Small Targets. #7698-46, Orlando, FL (2010)

    Google Scholar 

  18. Tian, X., Bar-Shalom, Y.: Algorithms for Asynchronous Track-to-Track Fusion. J. Advances in Information Fusion 5(2), 128–138 (2010)

    Google Scholar 

  19. Yuan, T., Bar-Shalom, Y., Tian, X.: Heterogeneous Track-to-Track Fusion. J. Advances in Information Fusion 6(2), 131–149 (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xin Tian .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tian, X., Yuan, T., Bar-Shalom, Y. (2015). Track-to-Track Fusion in Linear and Nonlinear Systems. In: Choukroun, D., Oshman, Y., Thienel, J., Idan, M. (eds) Advances in Estimation, Navigation, and Spacecraft Control. ENCS 2012. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44785-7_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-44785-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44784-0

  • Online ISBN: 978-3-662-44785-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics