目标定位最小方差无偏估计的定义与存在性

IF 3.2 2区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Signal Processing Letters Pub Date : 2016-06-02 DOI:10.1109/LSP.2016.2575739

Arian Shoari;Gonzalo Mateos

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引用次数: 1

摘要

在一维空间中，考虑了理想的二进制检测器在删失和非删失情况下的目标定位问题。在截尾设置中，该问题等效于估计均匀分布的中心，并且不允许最小方差解偏器（MVUE）。然而，已经证明，如果检测范围已知并且传感器部署区域大，则审查和非审查的情况都将在对欧几里得运动不变的函数类内具有MVUE。此外，还表明，当检测范围未知时，对于审查的情况，仍然可以形成MVUE，而在非审查的情况下，不存在MVUE。数值测试支持了这封信的理论发现。

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On the Definition and Existence of a Minimum Variance Unbiased Estimator for Target Localization

The problem of target localization with ideal, binary detectors is considered in one-dimensional space for both the censored and noncensored scenarios. In the censored setting, the problem is equivalent to estimating the center of a uniform distribution, and does not admit a minimum-variance unbiasedestimator (MVUE). However, it is proven that if the detection range is known and the sensor deployment region is large, both censored and noncensored cases will have an MVUE within the class of functions that are invariant to Euclidean motion. In addition, it is shown that when the detection range is unknown, for the censored case one can still form an MVUE whereas in the noncensored case, an MVUE does not exist. Numerical tests support the theoretical findings of this letter.

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来源期刊

IEEE Signal Processing Letters 工程技术-工程：电子与电气

CiteScore

7.40

自引率

12.80%

发文量

339

审稿时长

2.8 months

期刊介绍： The IEEE Signal Processing Letters is a monthly, archival publication designed to provide rapid dissemination of original, cutting-edge ideas and timely, significant contributions in signal, image, speech, language and audio processing. Papers published in the Letters can be presented within one year of their appearance in signal processing conferences such as ICASSP, GlobalSIP and ICIP, and also in several workshop organized by the Signal Processing Society.