PLS initialized sequential estimator for target localization using AOA measurements

Yanzi Wang, Z. Duan
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引用次数: 4

Abstract

Target localization using AOA measurements has attracted substantial attention for several decades. Traditional algorithms regard the target position as a non-random parameter and employ estimators like least squares (LS) or maximum likelihood (ML) to estimate the target location. In this paper, we propose a new framework for target localization using AOA measurements. The idea of this framework is to treat the unknown position as a random vector and then use the linear minimum mean square error (LMMSE) criterion to obtain an estimator that sequentially fuses the AOA measurements from multiple sensors. The key difficulty of this criterion is how to determine the prior first two moments of the unknown location. This is tackled by pseudo-linear least squares (PLS), which is verified to be perfectly credible through three credibility measures. Extensive numerical examples show that the PLS initialized sequential estimator outperforms the existing PLS and its root-mean-square error (RMSE) is close to the Cramer-Rao lower bound (CRLB) in most cases.
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PLS初始化序贯估计器的目标定位使用AOA测量
利用AOA测量进行目标定位已经引起了几十年的广泛关注。传统算法将目标位置视为一个非随机参数,采用最小二乘(LS)或最大似然(ML)等估计量来估计目标位置。本文提出了一种利用AOA测量进行目标定位的新框架。该框架的思想是将未知位置视为随机向量,然后使用线性最小均方误差(LMMSE)准则获得一个估计量,该估计量依次融合来自多个传感器的AOA测量值。该准则的关键难点在于如何确定未知位置的先验前两个矩。这是由伪线性最小二乘(PLS)解决的,它通过三个可信度措施被验证为完全可信。大量的数值算例表明,初始化的PLS序列估计器优于现有的PLS估计器,在大多数情况下,其均方根误差(RMSE)接近Cramer-Rao下界(CRLB)。
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