Quantifying Schumann resonances' variation over time through statistical differences
Schumann resonances’ statistical parameters vary over time, which gives way to analyze them as a stochastic process. By splitting the Schumann resonance’s records into segments and obtaining their empirical distribution function, the differences can be evaluated by calculating the Kolmogorov–Smirnov...
| Main Authors: | , , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/15243 |
| _version_ | 1789406600120762368 |
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| author | Soler Ortiz, Manuel José Fernández Ros, Manuel Novas Castellano, Nuria Gázquez Parra, José Antonio |
| author_facet | Soler Ortiz, Manuel José Fernández Ros, Manuel Novas Castellano, Nuria Gázquez Parra, José Antonio |
| author_sort | Soler Ortiz, Manuel José |
| collection | DSpace |
| description | Schumann resonances’ statistical parameters vary over time, which gives way to analyze them as a stochastic process. By splitting the Schumann resonance’s records into segments and obtaining their empirical distribution function, the differences can be evaluated by calculating the Kolmogorov–Smirnov distance between them. The analysis’ results allow for the characterization of the Schumann resonance’s variations, along with the typical values it reaches under the chosen metric. It is shown how divergence is mitigated through sample averaging, and also how divergent samples impact on the Fast Fourier Transform algorithm.
Divergence quantification adds a layer of information for data processing. Knowing the changes experienced over time in Schumann resonances gives a way to know what kind of mathematical procedures can be applied to the signal. Quantification of signal variations over time can identify error sources in specific procedures, filter out samples unfit under certain analyses, or serve as a stop criteria for cumulative analyses. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-15243 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2024 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-152432024-01-17T13:33:55Z Quantifying Schumann resonances' variation over time through statistical differences Soler Ortiz, Manuel José Fernández Ros, Manuel Novas Castellano, Nuria Gázquez Parra, José Antonio Schumann resonance Stochastic process Statistical distance Kolmogorov–Smirnov distance Schumann resonances’ statistical parameters vary over time, which gives way to analyze them as a stochastic process. By splitting the Schumann resonance’s records into segments and obtaining their empirical distribution function, the differences can be evaluated by calculating the Kolmogorov–Smirnov distance between them. The analysis’ results allow for the characterization of the Schumann resonance’s variations, along with the typical values it reaches under the chosen metric. It is shown how divergence is mitigated through sample averaging, and also how divergent samples impact on the Fast Fourier Transform algorithm. Divergence quantification adds a layer of information for data processing. Knowing the changes experienced over time in Schumann resonances gives a way to know what kind of mathematical procedures can be applied to the signal. Quantification of signal variations over time can identify error sources in specific procedures, filter out samples unfit under certain analyses, or serve as a stop criteria for cumulative analyses. 2024-01-17T13:33:54Z 2024-01-17T13:33:54Z 2023-03-23 info:eu-repo/semantics/article Manuel Soler-Ortiz, Manuel Fernández-Ros, Nuria Novas-Castellano, Jose A. Gázquez-Parra, Quantifying Schumann resonances’ variation over time through statistical differences, Journal of Atmospheric and Solar-Terrestrial Physics, Volume 246, 2023, 106058, ISSN 1364-6826, https://doi.org/10.1016/j.jastp.2023.106058. http://hdl.handle.net/10835/15243 10.1016/j.jastp.2023.106058 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | Schumann resonance Stochastic process Statistical distance Kolmogorov–Smirnov distance Soler Ortiz, Manuel José Fernández Ros, Manuel Novas Castellano, Nuria Gázquez Parra, José Antonio Quantifying Schumann resonances' variation over time through statistical differences |
| title | Quantifying Schumann resonances' variation over time through statistical differences |
| title_full | Quantifying Schumann resonances' variation over time through statistical differences |
| title_fullStr | Quantifying Schumann resonances' variation over time through statistical differences |
| title_full_unstemmed | Quantifying Schumann resonances' variation over time through statistical differences |
| title_short | Quantifying Schumann resonances' variation over time through statistical differences |
| title_sort | quantifying schumann resonances' variation over time through statistical differences |
| topic | Schumann resonance Stochastic process Statistical distance Kolmogorov–Smirnov distance |
| url | http://hdl.handle.net/10835/15243 |
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