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Source localization and calibration using TDOA and FDOA measurements in the presence of sensor location uncertainty

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Abstract

Source localization accuracy is very sensitive to sensor location error. This paper performs analysis and develops a solution for locating a moving source using time difference of arrival (TDOA) and frequency difference of arrival (FDOA) measurements with the use of a calibration emitter. Using a Gaussian random signal model, we first derive the Cramér-Rao lower bound (CRLB) for source location estimate in this scenario. Then we analyze the differential calibration technique which is commonly used in Global Positioning System. It is indicated that the differential calibration cannot attain the CRLB accuracy in most cases. A closed-form solution is then proposed which takes a calibration emitter into account to reduce sensor location error. It is shown analytically that under some mild approximations, our approach is able to reach the CRLB accuracy. Numerical simulations are included to corroborate the theoretical developments.

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References

  1. Cater G C. Time delay estimation for passive sonar signal processing. IEEE Trans Acoust Speech Signal Process, 1981, 29: 462–470

    Google Scholar 

  2. Weinstein E. Optimal source localization and tracking from passive array measurements. IEEE Trans Acoust Speech Signal Process, 1982, 30: 69–76

    Article  Google Scholar 

  3. Li J Z, Guo F C, Jiang W L. A linear-correction least-squares approach for geolocation using FDOA measurements only. Chin J Aeronaut, 2012, 25: 709–714

    Article  Google Scholar 

  4. Foy W H. Position-location solution by Taylor-series estimation. IEEE Trans Aerosp Electron Syst, 1976, 12: 187–194

    Article  Google Scholar 

  5. Chan Y T, Ho K C. A simple and efficient estimator for hyperbolic location. IEEE Trans Signal Process, 1994, 42: 1905–1915

    Article  Google Scholar 

  6. Ho K C, Xu W. An accurate algebraic solution for moving source location using TDOA and FDOA measurements. IEEE Trans Signal Process, 2004, 52: 2453–2463

    Article  MathSciNet  Google Scholar 

  7. Huang Y T, Benesty J, Elko GW, et al. Real-time passive source localization: a practical linear-correction least-squares approach. IEEE Trans Speech Audio Process, 2001, 9: 943–956

    Article  Google Scholar 

  8. Wei H W, Peng R, Wan Q, et al. Multidimensional scaling analysis for passive moving target localization with TDOA and FDOA measurements. IEEE Trans Signal Process, 2010, 58: 1677–1688

    Article  MathSciNet  Google Scholar 

  9. Musicki D, Kaune R, Koch W, et al. Mobile emitter geolocation and tracking using TDOA and FDOA measurements. IEEE Trans Signal Process, 2010, 58: 1863–1874

    Article  MathSciNet  Google Scholar 

  10. Ho K C, Lu X N, Kovavisaruch L, et al. Source localization using TDOA and FDOA measurements in the presence of receiver location errors: analysis and solution. IEEE Trans Signal Process, 2007, 55: 684–696

    Article  MathSciNet  Google Scholar 

  11. Ho K C, Yang L. On the use of a calibration emitter for source localization in the presence of sensor position uncertainty. IEEE Trans Signal Process, 2008, 56: 5758–5772

    Article  MathSciNet  Google Scholar 

  12. Yang L, Ho K C. Alleviating sensor position error in source localization using calibration emitters at inaccurate locations. IEEE Trans Signal Process, 2010, 58: 67–83

    Article  MathSciNet  Google Scholar 

  13. Pattison T, Chou S I. Sensitivity analysis of dual-satellite geolocation. IEEE Trans Aerosp Electron Syst, 2000, 36: 56–71

    Article  Google Scholar 

  14. Kay S M. Fundamentals of Statistical Signal Process, Estimation Theory. New Jersey: Prentice-Hall, 1993

    Google Scholar 

  15. Scharf L L. Statistical Signal Process: Detection, Estimation and Time Series Analysis. Addison-Wesley, 1991

    MATH  Google Scholar 

Download references

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Authors and Affiliations

  1. School of Electronics Science and Engineering, National University of Defense Technology, Changsha, 410073, China

    JinZhou Li, FuCheng Guo & WenLi Jiang

Authors
  1. JinZhou Li
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  2. FuCheng Guo
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  3. WenLi Jiang
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Corresponding author

Correspondence to FuCheng Guo.

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Li, J., Guo, F. & Jiang, W. Source localization and calibration using TDOA and FDOA measurements in the presence of sensor location uncertainty. Sci. China Inf. Sci. 57, 1–12 (2014). https://doi.org/10.1007/s11432-013-4800-2

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  • DOI: https://doi.org/10.1007/s11432-013-4800-2

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