Analysis of temporal–longitudinal–latitudinal characteristics in the global ionosphere based on tensor rank-1 decomposition

Abstract Combining analyses of spatial and temporal characteristics of the ionosphere is of great significance for scientific research and engineering applications. Tensor decomposition is performed to explore the temporal–longitudinal–latitudinal characteristics in the ionosphere. Three-dimensional...

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Main Authors: Shikun Lu, Hao Zhang, Xihai Li, Yihong Li, Chao Niu, Xiaoyun Yang, Daizhi Liu
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Earth, Planets and Space
Subjects:
Online Access:http://link.springer.com/article/10.1186/s40623-018-0808-6
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author Shikun Lu
Hao Zhang
Xihai Li
Yihong Li
Chao Niu
Xiaoyun Yang
Daizhi Liu
author_facet Shikun Lu
Hao Zhang
Xihai Li
Yihong Li
Chao Niu
Xiaoyun Yang
Daizhi Liu
author_sort Shikun Lu
collection DOAJ
description Abstract Combining analyses of spatial and temporal characteristics of the ionosphere is of great significance for scientific research and engineering applications. Tensor decomposition is performed to explore the temporal–longitudinal–latitudinal characteristics in the ionosphere. Three-dimensional tensors are established based on the time series of ionospheric vertical total electron content maps obtained from the Centre for Orbit Determination in Europe. To obtain large-scale characteristics of the ionosphere, rank-1 decomposition is used to obtain $$U^{(1)}$$ U(1) , $$U^{(2)}$$ U(2) , and $$U^{(3)}$$ U(3) , which are the resulting vectors for the time, longitude, and latitude modes, respectively. Our initial finding is that the correspondence between the frequency spectrum of $$U^{(1)}$$ U(1) and solar variation indicates that rank-1 decomposition primarily describes large-scale temporal variations in the global ionosphere caused by the Sun. Furthermore, the time lags between the maxima of the ionospheric $$U^{(2)}$$ U(2) and solar irradiation range from 1 to 3.7 h without seasonal dependence. The differences in time lags may indicate different interactions between processes in the magnetosphere–ionosphere–thermosphere system. Based on the dataset displayed in the geomagnetic coordinates, the position of the barycenter of $$U^{(3)}$$ U(3) provides evidence for north–south asymmetry (NSA) in the large-scale ionospheric variations. The daily variation in such asymmetry indicates the influences of solar ionization. The diurnal geomagnetic coordinate variations in $$U^{(3)}$$ U(3) show that the large-scale EIA (equatorial ionization anomaly) variations during the day and night have similar characteristics. Considering the influences of geomagnetic disturbance on ionospheric behavior, we select the geomagnetic quiet GIMs to construct the ionospheric tensor. The results indicate that the geomagnetic disturbances have little effect on large-scale ionospheric characteristics.
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spelling doaj.art-6c8f38def2194b29ba9b366aa09eb9c32022-12-21T20:32:50ZengSpringerOpenEarth, Planets and Space1880-59812018-03-0170111410.1186/s40623-018-0808-6Analysis of temporal–longitudinal–latitudinal characteristics in the global ionosphere based on tensor rank-1 decompositionShikun Lu0Hao Zhang1Xihai Li2Yihong Li3Chao Niu4Xiaoyun Yang5Daizhi Liu6Department of Electronic Engineering, Tsinghua UniversityDepartment of Electronic Engineering, Tsinghua UniversityXi’an Research Institute of Hi-TechXi’an Research Institute of Hi-TechXi’an Research Institute of Hi-TechXi’an Research Institute of Hi-TechXi’an Research Institute of Hi-TechAbstract Combining analyses of spatial and temporal characteristics of the ionosphere is of great significance for scientific research and engineering applications. Tensor decomposition is performed to explore the temporal–longitudinal–latitudinal characteristics in the ionosphere. Three-dimensional tensors are established based on the time series of ionospheric vertical total electron content maps obtained from the Centre for Orbit Determination in Europe. To obtain large-scale characteristics of the ionosphere, rank-1 decomposition is used to obtain $$U^{(1)}$$ U(1) , $$U^{(2)}$$ U(2) , and $$U^{(3)}$$ U(3) , which are the resulting vectors for the time, longitude, and latitude modes, respectively. Our initial finding is that the correspondence between the frequency spectrum of $$U^{(1)}$$ U(1) and solar variation indicates that rank-1 decomposition primarily describes large-scale temporal variations in the global ionosphere caused by the Sun. Furthermore, the time lags between the maxima of the ionospheric $$U^{(2)}$$ U(2) and solar irradiation range from 1 to 3.7 h without seasonal dependence. The differences in time lags may indicate different interactions between processes in the magnetosphere–ionosphere–thermosphere system. Based on the dataset displayed in the geomagnetic coordinates, the position of the barycenter of $$U^{(3)}$$ U(3) provides evidence for north–south asymmetry (NSA) in the large-scale ionospheric variations. The daily variation in such asymmetry indicates the influences of solar ionization. The diurnal geomagnetic coordinate variations in $$U^{(3)}$$ U(3) show that the large-scale EIA (equatorial ionization anomaly) variations during the day and night have similar characteristics. Considering the influences of geomagnetic disturbance on ionospheric behavior, we select the geomagnetic quiet GIMs to construct the ionospheric tensor. The results indicate that the geomagnetic disturbances have little effect on large-scale ionospheric characteristics.http://link.springer.com/article/10.1186/s40623-018-0808-6Large-scale ionospheric characteristicsTensor rank-1 decompositionTime lagsGeomagnetic north–south asymmetry
spellingShingle Shikun Lu
Hao Zhang
Xihai Li
Yihong Li
Chao Niu
Xiaoyun Yang
Daizhi Liu
Analysis of temporal–longitudinal–latitudinal characteristics in the global ionosphere based on tensor rank-1 decomposition
Earth, Planets and Space
Large-scale ionospheric characteristics
Tensor rank-1 decomposition
Time lags
Geomagnetic north–south asymmetry
title Analysis of temporal–longitudinal–latitudinal characteristics in the global ionosphere based on tensor rank-1 decomposition
title_full Analysis of temporal–longitudinal–latitudinal characteristics in the global ionosphere based on tensor rank-1 decomposition
title_fullStr Analysis of temporal–longitudinal–latitudinal characteristics in the global ionosphere based on tensor rank-1 decomposition
title_full_unstemmed Analysis of temporal–longitudinal–latitudinal characteristics in the global ionosphere based on tensor rank-1 decomposition
title_short Analysis of temporal–longitudinal–latitudinal characteristics in the global ionosphere based on tensor rank-1 decomposition
title_sort analysis of temporal longitudinal latitudinal characteristics in the global ionosphere based on tensor rank 1 decomposition
topic Large-scale ionospheric characteristics
Tensor rank-1 decomposition
Time lags
Geomagnetic north–south asymmetry
url http://link.springer.com/article/10.1186/s40623-018-0808-6
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