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3D TDOA发射器定位使用形近似方法

Kutluyil Dogancay¹, Hatem Hmam²

¹UniSA STEM, University of South Australia, Mawson Lakes Campus, Mawson Lakes, SA 5095, Australia.

Sensors (Basel, Switzerland)

|July 29, 2023

概括

本研究介绍了一种新的3D发射器定位算法,使用到达时间差 (TDOA) 圆近似. 该方法即使在具有挑战性的条件下也能达到高精度,超过现有技术.

科学领域:

信号处理信号处理
估计理论估计理论
地理空间分析的研究.

背景情况:

发射器定位对于各种应用,包括监视和导航至关重要.
使用到达时间差异 (TDOA) 的传统方法通常在3D空间和杂环境中难以准确.
现有的算法可能需要复杂的计算,或者在某些几何条件下表现不佳.

研究的目的:

用TDOA测量开发一种新且计算效率高的算法,用于使用TDOA测量进行3D发射器定位.
为了提高定位精度,特别是在传感器发射器几何形状不佳和噪音水平高的场景中.
分析传感器发射器和传感器阵列几何形状对本地化性能的影响.

主要方法:

拟议的算法将TDOA测量转换为1D到达角 (1D-AOA) 测量,定义TDOA圆.
发射器的位置是通过1D-AOAs的三角测定来确定的,其形式是非线性方程系统.
采用两阶段估计方法,将代加权最小平方 (IWLS) 估计器与泰勒数列精细化相结合,以提高准确性和低复杂性.

主要成果:

数字模拟证明了算法的有效性在3D发射器定位.
两阶段估计器的性能接近克拉默-拉奥下界 (CRLB),即使在具有挑战性的几何形状和高噪声.
该算法在不利条件下表现优于最大概率估计器 (MLE).
在温和条件下确定IWLS估计器的近似效率.

结论:

开发的基于TDOA的算法为3D发射器定位提供了强大而准确的解决方案.
圆近似方法有效地处理TDOA测量,以改善空间估计.
两个阶段的估计器提供了一个计算效率高的方法,保持高精度,使其适合于现实世界的应用.

关键词:

代加权最小平方.最大的概率估计器估计器.抵达的时间差定位定位

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