Vestnik KRAUNC. Fiz.-Mat. Nauki. 2022. vol. 41. no. 4. pp. 137–146. ISSN 2079-6641

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MSC 62C12

Research Article

Modeling and analysis of foF2 data using NARX neural networks and wavelets

O. V. Mandrikova, Y. A. Polozov

Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS 684034, Paratunka, Russia


The need to detect anomalies is of particular relevance in the problems of geophysical monitoring, it requires ensuring the accuracy and efficiency of the method. The paper proposes an approach based on NARX neural networks for the problem of modeling foF2 data and detecting anomalies in them. It is known that neural networks are difficult to model highly noisy and essentially non- stationary time series. Therefore, the optimization of the process of modeling time series of a complex structure by the NARX network was performed using wavelet filtering. Using the example of processing time series of ionospheric parameters, the effectiveness of the proposed approach is shown, and the results for the problem of detecting ionospheric anomalies are presented. The approach can be applied when performing a space weather forecast to predict the parameters of the ionosphere.

Key words: time series model; wavelet transform; neural network NARX; ionospheric parameters.

DOI: 10.26117/2079-6641-2022-41-4-137-146

Original article submitted: 01.12.2022

Revision submitted: 06.12.2022

For citation. Mandrikova O. V., Polozov Y. A. Modeling and analysis of foF2 data using NARX neural networks and wavelets. Vestnik KRAUNC. Fiz.-mat. nauki. 2022, 41: 4, 137-146. DOI: 10.26117/2079-6641-2022-41-4-137-146

Competing interests. The authors declare that there are no conflicts of interest regarding authorship and publication.

Contribution and Responsibility. All authors contributed to this article. Authors are solely responsible for providing the final version of the article in print. The final version of the manuscript was approved by all authors.

The content is published under the terms of the Creative Commons Attribution 4.0 International License (

© Mandrikova O.V., Polozov Y.A.

Funding. The work was carried out according to the Subject AAAA-A21-121011290003-0 “Physical pro-cesses in the system of near space and geospheres under solar and lithospheric influences” IKIR FEB RAS. The work was realized by the means of the Common Use Centerastern Heliogeophysical Center” CKP_558279, USU 351757.


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Mandrikova Oksana Viktorovna – D. Sci. (Tech.), Professor, Head. Laboratory of System Analysis, IKIR FEB RAS, Russia, ORCID 0000-0002-6172-1827.

Yury Alexandrovich Polozov – PhD (Tech.), Senior Researcher Laboratory of System Analysis, IKIR FEB RAS, Russia, ORCID 0000-0001-6960-8784.