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IEEE Sensors Journal
Article . 2024 . Peer-reviewed
License: IEEE Copyright
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Application of the Least Squares-Adaptive Vector Projection Iteration Algorithm to Ultra-Wideband Positioning

Authors: Penghui Wang; Zengzeng Lian; M. Amparo Núñez-Andrés; Andrés Calabia; Yalin Tian; Mengqi Wang; Zhe Yue; +1 Authors

Application of the Least Squares-Adaptive Vector Projection Iteration Algorithm to Ultra-Wideband Positioning

Abstract

Ultra-Wideband (UWB) technology is widely used in indoor positioning due to its high accuracy and strong resistance to interference. However, practical UWB positioning systems still encounter challenges such as random errors and asymmetric base station topology, which significantly affect positioning accuracy. To address these issues, this paper proposes an Adaptive Vector Projection Iteration algorithm based on the Least Squares method (LS-AVPI). Firstly, the Sparrow Search Algorithm (SSA) is employed to identify optimal parameters, with the fitness function based on an error suppression model established through vector projection angles and iterative concepts. The optimal parameters obtained from the SSA are then used to train a Convolutional Neural Network (CNN) for accurate prediction of unknown data. Finally, the predicted parameters are input into the error suppression model to solve for the final position. Experimental results demonstrate that the LS-AVPI algorithm significantly outperforms the constrained weighted, the iterative, the standard, and the two-step weighted least squares methods, with accuracy improvements of 57.3%, 62.7%, 65.7%, and 54.8%, respectively. This study not only effectively improves UWB positioning accuracy but also provides a new technical approach for achieving high-precision positioning in complex environments, offering significant theoretical and practical value.

Objectius de Desenvolupament Sostenible::9 - Indústria, Innovació i Infraestructura

Peer Reviewed

Keywords

Physics, Convolutional neural network (CNN), Least squares adjustment, Sparrow search algorithm, Física, Sparrow search algorithm (SSA), Convolutional neural network, 620, Least squares (LS) adjustment, Ultra-wideband positioning, Ultra-Wideband (UWB) positioning, Vector projection., Àrees temàtiques de la UPC::Enginyeria civil::Geomàtica, Vector projection

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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