IFAC PapersOnLine 50-1 (2017) 12829–12834
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10.1016/j.ifacol.2017.08.1932
© 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
TEC modelling via neural network using
observations from the first GLONASS R&D data
network in Brazil and the RBMC
Arthur A. Ferreira
*
Renato A. Borges
*
Claudia Paparini
**
Sandro M. Radicella
**
*
Dep. of Electrical Engineering, University of Brasilia (UnB), 70910-900,
Brasília, DF, Brazil (e-mail: arthur.ferreira@aluno.unb.br;
raborges@ene.unb.br).
**
The Abdus Salam International Centre for Theoretical Physics (ICTP),
strada Costiera 11, 34151, Trieste, Italy (e-mail:
{paparini;rsandro}@ictp.it).
Abstract:
This work presents a result on the use of neural networks (NNs) model to estimate Total Electron Content
(TEC) behavior based on Global Navigation Satellite Systems (GNSS) measurements in the Brazilian
equatorial and low latitude sectors. The main goal of the proposed NN is to estimate GPS (Global
Positioning System) TEC values at locations without a GNSS receiver that may be used, for instance, as
background models in regional TEC mapping procedures. The proposed approach is useful especially for
single frequency users that rely on corrections of ionospheric range errors by TEC models. The data used
was collected on the first GLONASS (Globalnaya Navigatsionnaya Sputnikovaya Sistema) network for
research and development (GLONASS R&D network), recently inaugurated in Brazil, and also on the
Brazilian Network for Continuous Monitoring of the GNSS Systems (RBMC), with a temporal interval
of 15s or 30s and a spatial resolution of about 300 km over an area corresponding to a longitudinal
extension of 650 km. The input parameters for the NN used in this work are the latitude, longitude,
day of the year (doy), time of the day, the global geomagnetic storm index (Kp-index), and the solar
radio flux at 10.7 cm, and the output the vertical TEC (vTEC
e
). The vTEC used for training the NN is
calculated with the GPS-TEC Analysis Application, version 2.9.3. Future work considers applying the
vTEC calculated with the ICTP method in the training process which allows the use of both GPS and
GLONASS TEC. Information on the new GLONASS R&D network, future research possibilities and
collaborations are also provided.
Keywords: TEC modeling, Neural Network, GLONASS data network.
1. INTRODUCTION
It is well know that an electromagnetic wave is not affected
when traveling through a static electric or magnetic fields in
a linear medium such as a vacuum. However, when traveling
in a dispersive medium, such as the atmosphere, different as-
pects cause variation on the propagation speed, polarization and
signal power (Borre and Strang (2012); Hoque and Jakowski
(2015)). In the context of GNSS L band signals, the ionospheric
refraction, proportional to the TEC value, introduces most of
the delay that may cause range errors in the positioning system
of up to 100 m (Jakowski et al. (2011)). This fact is even worst
in the equatorial and low-latitude regions, since in these areas
the TEC presents strong temporal and spatial variation due
to mainly three different dynamic process: the equatorial ion-
ization anomaly, post-sunset plasma enhancement and evening
plasma bubbles (Takahashi et al. (2014)).
Some benefits of knowing the correct TEC value within a good
spatial resolution is related with the improvement of accuracy
1
At the time of this work Claudia Paparini was working at ICTP in Tri-
este. Now she works at ESSP-SAS (European Satellite System Provider) in
Toulouse.
in global positioning systems, especially for single frequency
users, as well as a better understanding of the different param-
eters that affect it, such as solar and magnetic activities, and
the ability for monitoring and forecast space weather events
(Denardini et al. (2016b); Denardini et al. (2016a)). In this con-
text, the use of NNs have provided good results in applications
for regional TEC modelling being capable of recovering TEC
values with good performance (Leandro and Santos (2007);
Habarulema et al. (2009)). This fact is related with the abilities
of a NN to learn, generalize and adapt to different patterns of
input/output sets with nonlinear behavior (Haykin (1999)).
In this framework, this work aims to use NNs to estimate
TEC behavior based on GNSS measurements in the Brazilian
equatorial and low latitude sectors. The idea is based on the
work of Leandro and Santos (2007), but considering different
activation functions for the NNs, more input parameters similar
to the approach presented in Habarulema et al. (2009) and using
data from the new GLONASS R&D network. Specifically, the
input parameters are the latitude, longitude, day of year (doy),
time of the day, Kp-index, and the solar radio flux at 10.7 cm,
and the output the vTEC
e
. The vTEC used for training the NN