Skip to main content
SpringerLink
Log in

Constrained total least squares algorithm for passive location based on bearing-only measurements

  • Published:
Science in China Series F: Information Sciences Aims and scope Submit manuscript

Abstract

The constrained total least squares algorithm for the passive location is presented based on the bearing-only measurements in this paper. By this algorithm the non-linear measurement equations are firstly transformed into linear equations and the effect of the measurement noise on the linear equation coefficients is analyzed, therefore the problem of the passive location can be considered as the problem of constrained total least squares, then the problem is changed into the optimized question without restraint which can be solved by the Newton algorithm, and finally the analysis of the location accuracy is given. The simulation results prove that the new algorithm is effective and practicable.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Sun Z K, Zhou Y Y, He L X. Active/Passive Location Technology Based on Signal static/Multistatic (in Chinese). Beijing: National Defence Industry Press, 1996

    Google Scholar 

  2. Hu L Z. Passive Location (in Chinese). Beijing: National Defence Industry Press, 1996

    Google Scholar 

  3. He Y, Xiu J J. Survey of passive location methods. In: Proc Radar Academic Conference (in Chinese), 2002, 71–75

  4. Qiu L, Shen Z K. LS-Kalman algorithm for passive target location and tracking with bearing-only measurements. Infrared Laser Eng, 2001, 30(2): 83–87

    Google Scholar 

  5. Foy W H. Position-location solutions by Taylor series estimation. IEEE Trans Aerosp Electron Syst, 1976, AES-12(3): 187–194

    Article  Google Scholar 

  6. Abatzoglou T J, Mendel J M. Constrained total least squares. In: Proc 1987 IEEE ICASSP, TX: Dallas, 1987, 1485–1488

  7. Abatzoglou T J, Mendel J M, Harada G A. The constrained total least squares technique and its applications to harmonic superresolution. IEEE Trans Signal Proc, 1991, SP-39: 1070–1087

    Article  Google Scholar 

  8. Zhao R A, Wu F. Non-linear optimization theory and method (in Chinese). Hangzhou: Zhejiang Science and Technology Press, 1992

    Google Scholar 

  9. Zhang X D. Matrix Analysis and Application (in Chinese). Beijing: Qinghua University Press, 2004

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Communication Engineering, Information Engineering University of PLA, Zhengzhou, 450002, China

    Wang Ding, Zhang Li & Wu Ying

Authors
  1. Wang Ding
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhang Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Wu Ying
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wang Ding.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, D., Zhang, L. & Wu, Y. Constrained total least squares algorithm for passive location based on bearing-only measurements. SCI CHINA SER F 50, 576–586 (2007). https://doi.org/10.1007/s11432-007-0023-8

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-007-0023-8

Keywords

Search

Navigation