删失无噪声二元检测器目标定位的MVU估计的存在性
On the Existence of an MVU Estimator for Target Localization with Censored, Noise Free Binary Detectors
摘要：
研究了基于删失无噪声二元检测器的目标定位问题。在这种设置中，只有检测传感器向融合中心报告它们的位置。证明了在融合中心不知道检测半径的情况下，不存在最小方差无偏估计器。它还表明，当半径是已知的可能的目标区域的质心是MVU估计。此外，一个次优估计器的性能是接近MVU估计，但优选的计算。此外，已经提供了最小的足够的统计，当检测半径是已知的，当它不是。仿真结果证实，推导的MVU估计优于几个启发式位置估计。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
