Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain
Downward continuation is a key step in processing airborne geomagnetic data. However, downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed to realize effective continuation. According to the Poisson integral plane approxi...
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doaj-8096c44ea98143b88e0cf76cc9f492ea2021-02-02T04:57:53ZengKeAi Communications Co., Ltd.Geodesy and Geodynamics1674-98472015-01-0161344010.1016/j.geog.2014.12.003Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domainXiaogang Liu0Yingchun Li1Yun Xiao2Bin Guan3Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, ChinaXi'an Research Institute of Surveying and Mapping, Xi'an 710054, ChinaXi'an Research Institute of Surveying and Mapping, Xi'an 710054, ChinaXi'an Research Institute of Surveying and Mapping, Xi'an 710054, ChinaDownward continuation is a key step in processing airborne geomagnetic data. However, downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed to realize effective continuation. According to the Poisson integral plane approximate relationship between observation and continuation data, the computation formulae combined with the fast Fourier transform (FFT) algorithm are transformed to a frequency domain for accelerating the computational speed. The iterative Tikhonov regularization method and the iterative Landweber regularization method are used in this paper to overcome instability and improve the precision of the results. The availability of these two iterative regularization methods in the frequency domain is validated by simulated geomagnetic data, and the continuation results show good precision.http://www.sciencedirect.com/science/article/pii/S1674984715000063Downward continuationRegularization parameterIterative Tikhonov regularization methodIterative Landweber regularization methodFast Fourier transform (FFT)High-frequency noiseFrequency domainAirborne geomagnetic surveying |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xiaogang Liu Yingchun Li Yun Xiao Bin Guan |
spellingShingle |
Xiaogang Liu Yingchun Li Yun Xiao Bin Guan Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain Geodesy and Geodynamics Downward continuation Regularization parameter Iterative Tikhonov regularization method Iterative Landweber regularization method Fast Fourier transform (FFT) High-frequency noise Frequency domain Airborne geomagnetic surveying |
author_facet |
Xiaogang Liu Yingchun Li Yun Xiao Bin Guan |
author_sort |
Xiaogang Liu |
title |
Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain |
title_short |
Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain |
title_full |
Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain |
title_fullStr |
Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain |
title_full_unstemmed |
Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain |
title_sort |
downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain |
publisher |
KeAi Communications Co., Ltd. |
series |
Geodesy and Geodynamics |
issn |
1674-9847 |
publishDate |
2015-01-01 |
description |
Downward continuation is a key step in processing airborne geomagnetic data. However, downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed to realize effective continuation. According to the Poisson integral plane approximate relationship between observation and continuation data, the computation formulae combined with the fast Fourier transform (FFT) algorithm are transformed to a frequency domain for accelerating the computational speed. The iterative Tikhonov regularization method and the iterative Landweber regularization method are used in this paper to overcome instability and improve the precision of the results. The availability of these two iterative regularization methods in the frequency domain is validated by simulated geomagnetic data, and the continuation results show good precision. |
topic |
Downward continuation Regularization parameter Iterative Tikhonov regularization method Iterative Landweber regularization method Fast Fourier transform (FFT) High-frequency noise Frequency domain Airborne geomagnetic surveying |
url |
http://www.sciencedirect.com/science/article/pii/S1674984715000063 |
work_keys_str_mv |
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1724304657370578944 |