TR2010-108

Fundamental Limits and Improved Algorithms for Linear Least-Squares Wireless Position Estimation


    •  Guvenc, I., Gezici, S., Sahinoglu, Z., "Fundamental Limits and Improved Algorithms for Linear Least-Squares Wireless Position Estimation", Wireless Communications and Mobile Computing, DOI: 10.1002/​WCM.1029, September 2010.
      BibTeX TR2010-108 PDF
      • @article{Guvenc2010sep,
      • author = {Guvenc, I. and Gezici, S. and Sahinoglu, Z.},
      • title = {Fundamental Limits and Improved Algorithms for Linear Least-Squares Wireless Position Estimation},
      • journal = {Wireless Communications and Mobile Computing},
      • year = 2010,
      • month = sep,
      • doi = {10.1002/WCM.1029},
      • url = {https://www.merl.com/publications/TR2010-108}
      • }
  • Research Area:

    Communications

Abstract:

In this paper, theoretical lower bounds on performance of linear least-squares (LLS) position estimators are obtained, and performance differences between LLS and nonlinear least-squares (NLS) position estimators are quantified. In addition, two techniques are proposed in order to improve the performance of the LLS approach. First, a reference selection algorithm is proposed to optimally select the measurement that is used for linearizing the other measurements in an LLS estimator. Then, a maximum likelihood approach is proposed, which takes correlations between different measurements into account in order to reduce average position estimation errors. Simulations are performed to evaluate the theoretical limits and to compare performance of various LLS estimators.

 

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