On the Existence of an MVU Estimator for Target Localization with Censored, Noise Free Binary Detectors
Abstract
The problem of target localization with censored noise free binary detectors is considered. In this setting only the detecting sensors report their locations to the fusion center. It is proven that if the radius of detection is not known to the fusion center, a minimum variance unbiased (MVU) estimator does not exist. Also it is shown that when the radius is known the center of mass of the possible target region is the MVU estimator. In addition, a sub-optimum estimator is introduced whose performance is close to the MVU estimator but is preferred computationally. Furthermore, minimal sufficient statistics have been provided, both when the detection radius is known and when it is not. Simulations confirmed that the derived MVU estimator outperforms several heuristic location estimators.
Keywords
Cite
@article{arxiv.1505.04512,
title = {On the Existence of an MVU Estimator for Target Localization with Censored, Noise Free Binary Detectors},
author = {Arian Shoari and Alireza Seyedi},
journal= {arXiv preprint arXiv:1505.04512},
year = {2015}
}
Comments
25 pages, 9 figures