Comparisons of Position Error Characteristics and DOP Between TOA and TDOA Technique

TOA기법과 TDOA기법의 위치 오차 특성 및 DOP 비교

  • Published : 2000.10.01

Abstract

This paper presents a relationship between DOP for TOA and TDOA is defined using the error covariance matrix of TDOA. It is analytically shown that the error ellipsoid of TOA is as same as that of TDOA in magnitude and in orientation, which means that DOP for TOA is identical to the DOP for TDOA. By computer simulation, the positioning performance of two methods is compared, and we verify our assertion.

Keywords

References

  1. Jeffrey H. Reed, et al, 'An overview of the challengers and progress in meeting the E-911 requirement for location service,' IEEE communication Magazine, pp. 30-37, 1998 https://doi.org/10.1109/35.667410
  2. FCC Docket No. 94-102, 'Revision of the commission's rules to ensure compatibility with enhanced 911 emergency calling cysterns,' RM-8143, Sep., 1999
  3. James J. Caffery, et al, 'Overview of radiolocation in CDMA cellular system', IEEE communication Magazine, pp. 38-45, 1998 https://doi.org/10.1109/35.667411
  4. Borje Forssell, Radionavigation systems, Prentice Hall, UK, 1991
  5. Elliott D. Kaplan, Understanding CPS : Principles and Applications, Artech House, MA, 1996
  6. Nielsen, R. 0, 'Relationship between dilution of precision for point positioning and for relative positioning with GPS,' IEEE Transactions on Aerospace and Electronic Systems, 33,1, pp, 333-337, 1997 https://doi.org/10.1109/7.570809
  7. P.J.G. Teunissen, 'A proof of nielsen's conjecture on the GPS dilution of precision,' IEEE Transactions on Aerospace and Electronic Systems, vol 34, pp. 693-695, 1998 https://doi.org/10.1109/7.670364
  8. Don J. Torrieri, 'Statistical theory of passive location systems,' IEEE Transactions on Aerospace and Electronic Systems, vol. AES-20, pp, 183-198, 1984 https://doi.org/10.1109/TAES.1984.310439
  9. Parkinson and Spilker, Eds., Global Positioning System: Theory and Applications, AIAA, NJ, 1996
  10. George P. Yost, et al, 'Automatic location identification using a hybrid technique,' IEEE VTC '98, pp. 264-267, 1998 https://doi.org/10.1109/VETEC.1998.686576
  11. Yaakov Bar-shalom, et al, Tracking and Data Association, Academic Press, FL, 1988
  12. C. Park, I. Kim, 'Comments on relationships between elilution of precision for point positioning and for relative positioning with GPS,' IEEE Transactions on Aerospace and Electronic Systems, pp. 73-74, Jan., 2000 https://doi.org/10.1109/7.826336
  13. G. Strang and K. Borre, Linear Algebra, Geodesy, and GPS, Wellesley-Cambridge Press, MA, 1997