Accuracy Comparison of LS and Squared-Range LS for Source Localization

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.