Constrained Weighted Least-Squares Algorithms for 3-D AOA-Based Hybrid Localization

IF 2.9 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE open journal of signal processing Pub Date : 2024-01-31 DOI:10.1109/OJSP.2024.3360901

Yanbin Zou;Wenbo Wu;Jingna Fan;Huaping Liu

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引用次数: 0

Abstract

Source localization with time-of-arrival (TOA), time-difference-of-arrival (TDOA), time-delay (TD), received-signal-strength (RSS), or angle-of-arrival (AOA) measurements from several spatially distributed sensors is commonly used in practice. Existing analysis of the Cram

$\acute{\text{e}}$

r-Rao lower bounds (CRLB) shows that a hybrid of two or more independent kinds of measurement has a lower CRLB than one individual type of measurement. This paper develops a unified constrained weighted-least squares (CWLS) algorithm for five types of hybrid localization systems: AOA and TOA (AOA/TOA), AOA and TDOA (AOA/TDOA), AOA and TD (AOA/TD), AOA and RSS (AOA/RSS), AOA, TOA, and RSS (AOA/TOA/RSS). These formulated CWLS problems only have one quadratic constraint, which can be effectively solved by the Lagrange multiplier method and root-finding algorithm. Extensive simulation results show that the proposed CWLS algorithms are superior to state-of-the-art algorithms and reach the CRLB.

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基于 AOA 的三维混合定位的受限加权最小二乘法算法

在实际应用中，通常使用来自多个空间分布传感器的到达时间 (TOA)、到达时间差 (TDOA)、时间延迟 (TD)、接收信号强度 (RSS) 或到达角 (AOA) 测量进行信号源定位。现有的 Cram $acute{\text{e}}$ r-Rao 下限（CRLB）分析表明，两种或两种以上独立测量的混合下限比单独一种测量的下限要低。本文针对五种混合定位系统开发了一种统一的约束加权最小二乘法（CWLS）算法：AOA 和 TOA (AOA/TOA)、AOA 和 TDOA (AOA/TDOA)、AOA 和 TD (AOA/TD)、AOA 和 RSS (AOA/RSS)、AOA、TOA 和 RSS (AOA/TOA/RSS)。这些制定的 CWLS 问题只有一个二次约束，可以通过拉格朗日乘法和寻根算法有效求解。大量仿真结果表明，所提出的 CWLS 算法优于最先进的算法，并达到了 CRLB。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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