The Error Estimation of Transverse Coronal Loop Oscillation Parameters Based on Least Chi-squares Fitting
Transverse oscillations of coronal loops not only influence coronal dynamics, but also provide a new perspective for coronal detection. To enhance their exploitation and utilization, accurately estimating the oscillation parameters is crucial. The least chi-squares fitting is a widely employed metho...
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IOP Publishing
2025-01-01
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| Series: | The Astrophysical Journal Supplement Series |
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| Online Access: | https://doi.org/10.3847/1538-4365/adaeb1 |
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| author | Hongbo Li Hengqiang Feng Zhanjun Tian Qiangwei Cai Guoqing Zhao Yan Zhao |
| author_facet | Hongbo Li Hengqiang Feng Zhanjun Tian Qiangwei Cai Guoqing Zhao Yan Zhao |
| author_sort | Hongbo Li |
| collection | DOAJ |
| description | Transverse oscillations of coronal loops not only influence coronal dynamics, but also provide a new perspective for coronal detection. To enhance their exploitation and utilization, accurately estimating the oscillation parameters is crucial. The least chi-squares fitting is a widely employed method for this estimation. However, due to the highly nonlinear nature of the fitting process, there is no established theory to provide the exact error of the fitted parameters. In this study, we systematically investigated the accuracy and precision of the fitted parameters of transverse coronal oscillations through a series of forward simulations. Our investigation indicates that the accuracy and precision of fitted oscillation parameters are influenced not only by the standard deviation of the measurement error, but also by the temporal resolution and the characteristics of the signal itself. Based on these findings, we conducted additional forward simulations to estimate the influences on the real observation examples. The results clearly show that (1) the fitted damping timescale should be overestimated in a significant number of transverse coronal loop oscillations, and (2) errors estimated by the general method may be biased. In response, we have developed a forward simulation-based schema to achieve a self-consistent error estimation for the fitted oscillation parameters. These contributions not only offer valuable insights into the error estimation of fitted transverse coronal oscillation parameters, but also establish a robust foundation for obtaining accurate and precise transverse oscillation parameters of the corona. |
| format | Article |
| id | doaj-art-ec4684b6f74f478ea96c270e0b86f36c |
| institution | DOAJ |
| issn | 0067-0049 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Astrophysical Journal Supplement Series |
| spelling | doaj-art-ec4684b6f74f478ea96c270e0b86f36c2025-08-20T03:05:06ZengIOP PublishingThe Astrophysical Journal Supplement Series0067-00492025-01-0127712310.3847/1538-4365/adaeb1The Error Estimation of Transverse Coronal Loop Oscillation Parameters Based on Least Chi-squares FittingHongbo Li0https://orcid.org/0000-0001-5649-6066Hengqiang Feng1https://orcid.org/0000-0003-2632-8066Zhanjun Tian2Qiangwei Cai3https://orcid.org/0000-0001-5188-0165Guoqing Zhao4https://orcid.org/0000-0002-1831-1451Yan Zhao5https://orcid.org/0000-0002-0931-7552Institute of Space Physics, Luoyang Normal University , Luoyang 471934, People’s Republic of China ; fenghq9921@163.com; Henan Key Laboratory of Electromagnetic Transformation and Detection , Luoyang 471934, People’s Republic of China; College of Physics and Electronic Information, Luoyang Normal University , Luoyang 471934, People’s Republic of ChinaInstitute of Space Physics, Luoyang Normal University , Luoyang 471934, People’s Republic of China ; fenghq9921@163.comInstitute of Space Physics, Luoyang Normal University , Luoyang 471934, People’s Republic of China ; fenghq9921@163.comInstitute of Space Physics, Luoyang Normal University , Luoyang 471934, People’s Republic of China ; fenghq9921@163.comInstitute of Space Physics, Luoyang Normal University , Luoyang 471934, People’s Republic of China ; fenghq9921@163.comInstitute of Space Physics, Luoyang Normal University , Luoyang 471934, People’s Republic of China ; fenghq9921@163.comTransverse oscillations of coronal loops not only influence coronal dynamics, but also provide a new perspective for coronal detection. To enhance their exploitation and utilization, accurately estimating the oscillation parameters is crucial. The least chi-squares fitting is a widely employed method for this estimation. However, due to the highly nonlinear nature of the fitting process, there is no established theory to provide the exact error of the fitted parameters. In this study, we systematically investigated the accuracy and precision of the fitted parameters of transverse coronal oscillations through a series of forward simulations. Our investigation indicates that the accuracy and precision of fitted oscillation parameters are influenced not only by the standard deviation of the measurement error, but also by the temporal resolution and the characteristics of the signal itself. Based on these findings, we conducted additional forward simulations to estimate the influences on the real observation examples. The results clearly show that (1) the fitted damping timescale should be overestimated in a significant number of transverse coronal loop oscillations, and (2) errors estimated by the general method may be biased. In response, we have developed a forward simulation-based schema to achieve a self-consistent error estimation for the fitted oscillation parameters. These contributions not only offer valuable insights into the error estimation of fitted transverse coronal oscillation parameters, but also establish a robust foundation for obtaining accurate and precise transverse oscillation parameters of the corona.https://doi.org/10.3847/1538-4365/adaeb1Solar coronal seismologySolar coronal wavesActive solar corona |
| spellingShingle | Hongbo Li Hengqiang Feng Zhanjun Tian Qiangwei Cai Guoqing Zhao Yan Zhao The Error Estimation of Transverse Coronal Loop Oscillation Parameters Based on Least Chi-squares Fitting The Astrophysical Journal Supplement Series Solar coronal seismology Solar coronal waves Active solar corona |
| title | The Error Estimation of Transverse Coronal Loop Oscillation Parameters Based on Least Chi-squares Fitting |
| title_full | The Error Estimation of Transverse Coronal Loop Oscillation Parameters Based on Least Chi-squares Fitting |
| title_fullStr | The Error Estimation of Transverse Coronal Loop Oscillation Parameters Based on Least Chi-squares Fitting |
| title_full_unstemmed | The Error Estimation of Transverse Coronal Loop Oscillation Parameters Based on Least Chi-squares Fitting |
| title_short | The Error Estimation of Transverse Coronal Loop Oscillation Parameters Based on Least Chi-squares Fitting |
| title_sort | error estimation of transverse coronal loop oscillation parameters based on least chi squares fitting |
| topic | Solar coronal seismology Solar coronal waves Active solar corona |
| url | https://doi.org/10.3847/1538-4365/adaeb1 |
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