Accuracy comparison of LS and squared-range LS for source localization

  • Authors:
  • Erik G. Larsson;Danyo Danev

  • Affiliations:
  • Department of Electrical Engineering, ISY, Linköping University, Linköping, Sweden;Department of Electrical Engineering, ISY, Linköping University, Linköping, Sweden

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2010

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Abstract

In this correspondence, we compute a closed-form expression for the asymptotic (large-sample) accuracy of the recently proposed squared-range least-squares (SR-LS) method for source localization [A. Beck, P. Stoica, and J. Li, "Exact and approximate solutions of source localization problems," IEEE Trans. Signal Process., vol. 56, no. 5, pp. 1770-1778, May 2008]. We compare its accuracy to that of the classical least-squares (LS) method and show that LS and SR-LS perform differently in general. We identify geometries where the performances of the methods are identical but also geometries when the difference in performance is unbounded.