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Performance Capabilities of Long-Range UWB-IR TDOA Localization Systems

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Abstract

The theoretical and practical performance limits of a 2D ultrawideband impulse-radio localization system operating in the far field are studied under the assumption that estimates of location are based on time-difference-of-arrival (TDOA) measurements. Performance is evaluated in the presence of errors in both the TDOA measurements and the sensor locations. The performance of both optimal (maximum-likelihood) and suboptimal location estimation algorithms is studied and compared with the theoretical performance limit defined by the Cramér-Rao lower bound on the variance of unbiased TDOA location estimates. A novel weighted total-least-squares algorithm is introduced that compensates somewhat for errors in sensor positions and reduces the bias in location estimation compared with a widely used weighted least-squares approach. In addition, although target tracking per se is not considered in this paper, performance is evaluated both under the assumption that sequential location estimates are not aggregated as well as under the assumption that some sort of tracker is available to aggregate a sequence of estimates.

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Correspondence to Richard J. Barton.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Barton, R.J., Rao, D. Performance Capabilities of Long-Range UWB-IR TDOA Localization Systems. EURASIP J. Adv. Signal Process. 2008, 236791 (2007) doi:10.1155/2008/236791

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Keywords

  • Estimation Algorithm
  • Localization System
  • Location Estimate
  • Performance Limit
  • Sensor Position