Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic Weighting

This paper presents an advanced time-series forecasting methodology that integrates multiple machine learning models to improve data prediction in enhanced long-range navigation (eLoran) systems. The analysis evaluates five forecasting approaches: multivariate linear regression, long short-term memo...

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Main Authors: Jianchen Di, Miao Wu, Jun Fu, Wenkui Li, Xianzhou Jin, Jinyu Liu
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/25/14/4462
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author Jianchen Di
Miao Wu
Jun Fu
Wenkui Li
Xianzhou Jin
Jinyu Liu
author_facet Jianchen Di
Miao Wu
Jun Fu
Wenkui Li
Xianzhou Jin
Jinyu Liu
author_sort Jianchen Di
collection DOAJ
description This paper presents an advanced time-series forecasting methodology that integrates multiple machine learning models to improve data prediction in enhanced long-range navigation (eLoran) systems. The analysis evaluates five forecasting approaches: multivariate linear regression, long short-term memory (LSTM) networks, random forest (RF), a fusion model combining LSTM and RF, and a dynamic weighting (DW) model. The results demonstrate that the DW model achieves the highest prediction accuracy while maintaining strong computational efficiency, making it particularly suitable for real-time applications with stringent performance requirements. Although the LSTM model effectively captures temporal dependencies, it demands considerable computational resources. The hybrid model utilises the strengths of LSTM and RF to enhance the accuracy but involves extended training times. By contrast, the DW model dynamically adjusts the relative contributions of LSTM and RF on the basis of the data characteristics, thereby enhancing the accuracy while significantly reducing the computational demands. Demonstrating exceptional performance on the ASF2 dataset, the DW model provides a well-balanced solution that combines precision with operational efficiency. This research offers valuable insights into optimising additional secondary phase factor (ASF) prediction in eLoran systems and highlights the broader applicability of real-time forecasting models.
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spelling doaj-art-121f58b59b5c43da8dc59c20c3c95c252025-08-20T02:47:17ZengMDPI AGSensors1424-82202025-07-012514446210.3390/s25144462Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic WeightingJianchen Di0Miao Wu1Jun Fu2Wenkui Li3Xianzhou Jin4Jinyu Liu5School of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaSchool of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaSchool of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaSchool of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaSchool of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaSchool of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaThis paper presents an advanced time-series forecasting methodology that integrates multiple machine learning models to improve data prediction in enhanced long-range navigation (eLoran) systems. The analysis evaluates five forecasting approaches: multivariate linear regression, long short-term memory (LSTM) networks, random forest (RF), a fusion model combining LSTM and RF, and a dynamic weighting (DW) model. The results demonstrate that the DW model achieves the highest prediction accuracy while maintaining strong computational efficiency, making it particularly suitable for real-time applications with stringent performance requirements. Although the LSTM model effectively captures temporal dependencies, it demands considerable computational resources. The hybrid model utilises the strengths of LSTM and RF to enhance the accuracy but involves extended training times. By contrast, the DW model dynamically adjusts the relative contributions of LSTM and RF on the basis of the data characteristics, thereby enhancing the accuracy while significantly reducing the computational demands. Demonstrating exceptional performance on the ASF2 dataset, the DW model provides a well-balanced solution that combines precision with operational efficiency. This research offers valuable insights into optimising additional secondary phase factor (ASF) prediction in eLoran systems and highlights the broader applicability of real-time forecasting models.https://www.mdpi.com/1424-8220/25/14/4462eLoran systemASF predictiondeep learningsystem performance optimisationLSTMrandom forest
spellingShingle Jianchen Di
Miao Wu
Jun Fu
Wenkui Li
Xianzhou Jin
Jinyu Liu
Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic Weighting
Sensors
eLoran system
ASF prediction
deep learning
system performance optimisation
LSTM
random forest
title Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic Weighting
title_full Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic Weighting
title_fullStr Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic Weighting
title_full_unstemmed Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic Weighting
title_short Comparative Analysis of Time-Series Forecasting Models for eLoran Systems: Exploring the Effectiveness of Dynamic Weighting
title_sort comparative analysis of time series forecasting models for eloran systems exploring the effectiveness of dynamic weighting
topic eLoran system
ASF prediction
deep learning
system performance optimisation
LSTM
random forest
url https://www.mdpi.com/1424-8220/25/14/4462
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AT wenkuili comparativeanalysisoftimeseriesforecastingmodelsforeloransystemsexploringtheeffectivenessofdynamicweighting
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