Abstract

Modeling ionospheric variability throughout a proper total electron content (TEC) parameter estimation is a demanding, however, crucial, process for achieving better accuracy and rapid convergence in precise point positioning (PPP). In particular, the single-frequency PPP (SF-PPP) method lacks accuracy due to the difficulty of dealing adequately with the ionospheric error sources. In order to apply ionosphere corrections in techniques, such as SF-PPP, external information of global ionosphere maps (GIMs) is crucial. In this article, we propose a deep learning model to efficiently predict TEC values and to replace the GIM-derived data that inherently have a global character, with equal or better in accuracy regional ones. The proposed model is suitable for predicting the ionosphere delay at different locations of receiver stations. The model is tested during different periods of time, under different solar and geomagnetic conditions and for stations in various latitudes, providing robust estimations of the ionospheric activity at the regional level. Our proposed model is a hybrid model comprising of a 1-D convolutional layer used for the optimal feature extraction and stacked recurrent layers used for temporal time series modeling. Thus, the model achieves good performance in TEC modeling compared to other state-of-the-art methods.

Highlights

  • T HE ionosphere is typically defined as that part of the Earth’s upper atmosphere with a sufficient concentration of free electrons affecting the propagation of electromagnetic waves

  • We have proposed a combined convolutional neural network (CNN)-gated recurrent unit (GRU) deep learning architecture for total electron content (TEC) modeling

  • The proposed model has been compared with other linear (e.g., AR and AR moving average (ARMA)) and nonlinear (RNN, long short-term memory (LSTM), and BILSTM) regression methods

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Summary

INTRODUCTION

T HE ionosphere is typically defined as that part of the Earth’s upper atmosphere with a sufficient concentration of free electrons affecting the propagation of electromagnetic waves. The transmitted signals from the Global Navigation Satellite Systems (GNSS) are directly affected by the ionospheric variations, causing delays [6] These delays depend on the signal frequency and the electron density along the transmission path. RT-SF-standard point positioning (SPP)/precise point positioning (PPP) techniques use ionospheric vertical TEC (VTEC) products released by the International GNSS Service (IGS) RT service [9] to eliminate the ionospheric error and apply corrections to the model as external parameters [1]. These ionospheric VTEC products have global coverage. The proposed deep recurrent architecture successfully models ionosphere conditions and estimate the ionospheric delays on the GNSS satellite signals, treating ionosphere variations as a nonlinear time series regression problem

Related Work
Contribution
GNSS Observations Preprocessing
Nonlinear Ionosphere TEC Modeling
SEQUENCE-TO-SEQUENCE SPATIOTEMPORAL AI FOR TEC MODELING
Spatial Variability Modeling
Temporal Variability Modeling
Implementation Details
Evaluation Metrics
EXPERIMENTAL EVALUATION
Data Preprocessing and Experiment Setup
Performance Evaluation and Comparison
Performance Evaluation for Different Months
Performance Evaluation Between Different Ionosphere Models
Findings
CONCLUSION

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