Improved solution of cramer-rao lower bound for toa/rss localization

2012;
: pp. 33-36
1
University of Geneva
2
University of Geneva
3
University of Geneva
4
Lviv Polytechnic National University

In this paper the problem of evaluation of the bound accuracy for range based localization techniques in wireless sensor networks is considered. The comprehensive analysis of the existing solution of the Cramer-Rao lower bound problem for the anchored localization based on the time of arrival or relative signal strength principles shows certain discrepancy between an analytical solution and simulation results. Therefore, a new bound for this problem has been developed on the basis of more accurate stochastic modeling of the localization error.

  1. H. L. V. Trees, Detection, Estimation, and Modulation Theory, Part I, John Wiley & Sons, 1968.
  2. S. M. Kay, Fundamentals of Statistical Signal Processing, Volume I: Estimation Theory, Prentice Hall PTR, Upper Saddle River, NJ, 1993.
  3. D. J. Torrieri, “Statistical theory of passive location systems”, IEEE Trans. on AES, vol. AES-20, no2, pp. 183-198, Mar 1984.
  4. D.-H. Shin and T.-K. Sung, “Comparisons of error characteristics between TOA and TDOA positioning”, IEEE Trans. on AES, vol. 38, no. 1, pp. 307-311, Jan 2002.
  5. M. A. Spirito, “On the accuracy of cellular mobile station location”, IEEE Trans. on Veh. Technol., vol. 50, no 3, pp. 674-685, May 2001.
  6. A. Urruela, J. Sala, J. Riba, “Average performance analysis of circular and hyperbolic geolocation”, IEEE Trans. Veh. Technol., vol. 55, no. 1, pp. 52-66, Jan 2006.
  7. N. Patwari, J. Ash, S. Kyperountas, A. Hero III, R. Moses, and N. Correal, “Locating the nodes”, IEEE Signal Processing Magazine, vol. 22, no. 4, pp. 54-69, Jul 2005.
  8. R. Yarlagadda, I. Ali, N. Al-Dhahir, and J. Hershey, “GPS GDOP Metric”, IEE Proceedings on Radar, Sonar, and Navigation, pp. 259-264, Oct 2000.
  9. A. Sayed, A. Tarighat, and N. Khajehnouri, “Network-based wireless location”, IEEE Signal Processing Magazine, vol. 22, no. 4, pp. 24-40, Jul 2005.
  10. N. Patwari, A. Hero III, M. Perkins, N. Correal, and R. O’Dea, “Relative location estimation in wireless sensor networks”, IEEE Trans. Signal Processing, vol. 51, pp. 2137-2148, Aug 2003.
  11. C. Chang, A. Sahai, “Estimation bounds for localization”, in Proc. of First IEEE Communication Society Conference on Sensor and Ad Hoc Networks, SECON, 2004.
  12. W. Feller, An introduction to probability theory and its applications, vol. II, 3ed., Wiley, 1971.