Skip to main content
Log in

A robust TDOA-based location method and its performance analysis

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

Abstract

Based on time difference of arrive (TDOA), the regularized constrained total least square (RCTLS) algorithm for passive location is presented in this paper. RCLTS is used to solve the location equations by transforming the nonlinear equations about TDOA into linear equations about parameters of the position and range and expanding the true TDOA in a first-order Taylor series about measurement TDOA. A proper weight is chosen by the least mean square error (MSE) rule to obtain the location solution through analyzing the location error, whose feasibility and effectiveness are well proved by computer simulations. The CRB and GDOP for TDOA-based location are given.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Foy W H. Position location solutions by Taylor series estimation. IEEE Trans Aerospace Electr Syst, 1976, 12(2): 187–194

    Article  Google Scholar 

  2. Chan Y T, Ho K C. A simple and efficient estimator for hyperbolic location. IEEE Trans Signal Proc, 1994, 42(8): 1905–1915

    Article  MathSciNet  Google Scholar 

  3. Huang Z, Lu J. Total least squares and equilibration algorithm for range difference location. Electr Lett, 2004, 40(5): 121–122

    Article  Google Scholar 

  4. Stoica P, Li J. Source localization from range-difference measurements. IEEE Signal Proc, 2006, 63(11): 63–65

    Article  Google Scholar 

  5. Fan X, Younan N H, Taylor C D. A perturbation analysis of the regularized constrained total least squares. IEEE Trans Circuits Syst-II: Anal Digit Signal Proc, 1996, 43(2): 140–142

    Article  Google Scholar 

  6. Fan X. The constrained total least squares with regularization and its use in ill-conditioned signal restoration. Ph. D. dissertation, Mississippi State University, Dec. 1992

  7. Sun Z K, Zhou Y Y, He L. Active/Passive Location Technology Based on Monostatic/Multistatic (in Chinese). Beijing: Defense Industry Publishing House, 1996

    Google Scholar 

  8. Zhang X D. Matrix Analysis and Application (in Chinese). Beijing: Tsinghua Publishing House, 2004

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to WanChun Li.

Additional information

Supported by the Program for New Century Excellent Talents in University, Ministry of Education, China (Grant No. NCET-05-0803)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, W., Wei, P. & Xiao, X. A robust TDOA-based location method and its performance analysis. Sci. China Ser. F-Inf. Sci. 52, 876–882 (2009). https://doi.org/10.1007/s11432-009-0101-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-009-0101-1

Keywords

Navigation