This paper develops an attractive estimator for locating an object using time differences of arrival with inaccurate sensor positions in the large equal radius (LER) scenario. The estimator is developed through a geometric approach without the need of introducing an auxiliary variable. It is shown analytically to be able to reach the Cramer-Rao Lower Bound (CRLB) accuracy under Gaussian noise over the small error region when the LER condition is strong. The estimation bias resulted from the LER modeling in the absence of measurement noise is derived and it can be compensated if it is significant when the LER condition is weak. The proposed estimator is more computationally efficient than the other LER positioning estimators from the literature. To complete the study, a detector for the LER scenario is included.
['Sasa Li', 'K. C. Ho']
Accurate and Effective Localization of an Object in Large Equal Radius Scenario