基于 TDOA 定位的几何约束稳健减偏方法

IF 1.9 4区 计算机科学 Q3 TELECOMMUNICATIONS Wireless Personal Communications Pub Date : 2024-09-19 DOI:10.1007/s11277-024-11541-1
Ziqiang Zhang, Ding Wang, Bin Yang, Linqiang Jiang
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引用次数: 0

摘要

本文提出了一种利用到达时间差提高室内定位精度的稳健算法。最大似然估计法和传统的加权最小二乘法往往存在矩阵条件不良和数值不稳定的问题,从而导致严重偏差和精度降低,针对这两种方法的局限性,我们提出了一种基于({{\varvec{QR}}\) 因式分解的新型减偏技术。结合几何关系信息,我们的方法提高了精度。通过在零均值白高斯噪声下的严格分析和仿真,该算法表现出卓越的性能,克服了矩阵条件不佳的问题,超越了传统方法,并与克拉梅尔-拉奥(Cramér-Rao)下限密切相关。
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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A Robust Bias Reduction Method with Geometric Constraint for TDOA-Based Localization

In this paper, a robust algorithm for enhancing indoor positioning accuracy utilizing time difference of arrivals is proposed. Addressing limitations of maximum likelihood estimation and traditional weighted least squares methods, which often suffer from matrix ill-conditioned problem and numerical instability, leading to significant biases and reduced accuracy, we propose a novel bias reduction technique based on \({{\varvec{QR}}}\) factorization. Incorporating geometric relationship information, our method improves precision. Through rigorous analysis and simulation under zero-mean white Gaussian noise, the algorithm demonstrates superior performance, overcoming matrix ill-conditioned problem, surpassing traditional methods, and closely aligning with the Cramér-Rao lower bound.

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来源期刊
Wireless Personal Communications
Wireless Personal Communications 工程技术-电信学
CiteScore
5.80
自引率
9.10%
发文量
663
审稿时长
6.8 months
期刊介绍: The Journal on Mobile Communication and Computing ... Publishes tutorial, survey, and original research papers addressing mobile communications and computing; Investigates theoretical, engineering, and experimental aspects of radio communications, voice, data, images, and multimedia; Explores propagation, system models, speech and image coding, multiple access techniques, protocols, performance evaluation, radio local area networks, and networking and architectures, etc.; 98% of authors who answered a survey reported that they would definitely publish or probably publish in the journal again. Wireless Personal Communications is an archival, peer reviewed, scientific and technical journal addressing mobile communications and computing. It investigates theoretical, engineering, and experimental aspects of radio communications, voice, data, images, and multimedia. A partial list of topics included in the journal is: propagation, system models, speech and image coding, multiple access techniques, protocols performance evaluation, radio local area networks, and networking and architectures. In addition to the above mentioned areas, the journal also accepts papers that deal with interdisciplinary aspects of wireless communications along with: big data and analytics, business and economy, society, and the environment. The journal features five principal types of papers: full technical papers, short papers, technical aspects of policy and standardization, letters offering new research thoughts and experimental ideas, and invited papers on important and emerging topics authored by renowned experts.
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