An Aeromagnetic Compensation Method Based on a Multimodel for Mitigating Multicollinearity
Aeromagnetic surveys play an important role in geophysical exploration and many other fields. In many applications, magnetometers are installed aboard an aircraft to survey large areas. Due to its composition, an aircraft has its own magnetic field, which degrades the reliability of the measurements...
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doaj-826b20752dca41a5af88b7139e2d56602020-11-24T21:30:35ZengMDPI AGSensors1424-82202019-07-011913293110.3390/s19132931s19132931An Aeromagnetic Compensation Method Based on a Multimodel for Mitigating MulticollinearityGuanyi Zhao0Qi Han1Xiang Peng2Pengyi Zou3Haidong Wang4Changping Du5He Wang6Xiaojun Tong7Qiong Li8Hong Guo9School of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaHangzhou Applied Acoustic Institute, Hangzhou 310023, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaSchool of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaAeromagnetic surveys play an important role in geophysical exploration and many other fields. In many applications, magnetometers are installed aboard an aircraft to survey large areas. Due to its composition, an aircraft has its own magnetic field, which degrades the reliability of the measurements, and thus a technique (named aeromagnetic compensation) that reduces the magnetic interference field effect is required. Commonly, based on the Tolles−Lawson model, this issue is solved as a linear regression problem. However, multicollinearity, which refers to the case when more than two model variables are highly linearly related, creates accuracy problems when estimating the model coefficients. The analysis in this study indicates that the variables that cause multicollinearity are related to the flight heading. To take this point into account, a multimodel compensation method is proposed. By selecting the variables that contribute less to the multicollinearity, different sub-models are built to describe the magnetic interference of the aircraft when flying in different orientations. This method restricts the impact of multicollinearity and improves the reliability of the measurements. Compared with the existing methods, the proposed method reduces the interference field more effectively, which is verified by a set of airborne tests.https://www.mdpi.com/1424-8220/19/13/2931magnetometeraeromagnetic surveyaeromagnetic compensationlinear regressionmulticollinearity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Guanyi Zhao Qi Han Xiang Peng Pengyi Zou Haidong Wang Changping Du He Wang Xiaojun Tong Qiong Li Hong Guo |
spellingShingle |
Guanyi Zhao Qi Han Xiang Peng Pengyi Zou Haidong Wang Changping Du He Wang Xiaojun Tong Qiong Li Hong Guo An Aeromagnetic Compensation Method Based on a Multimodel for Mitigating Multicollinearity Sensors magnetometer aeromagnetic survey aeromagnetic compensation linear regression multicollinearity |
author_facet |
Guanyi Zhao Qi Han Xiang Peng Pengyi Zou Haidong Wang Changping Du He Wang Xiaojun Tong Qiong Li Hong Guo |
author_sort |
Guanyi Zhao |
title |
An Aeromagnetic Compensation Method Based on a Multimodel for Mitigating Multicollinearity |
title_short |
An Aeromagnetic Compensation Method Based on a Multimodel for Mitigating Multicollinearity |
title_full |
An Aeromagnetic Compensation Method Based on a Multimodel for Mitigating Multicollinearity |
title_fullStr |
An Aeromagnetic Compensation Method Based on a Multimodel for Mitigating Multicollinearity |
title_full_unstemmed |
An Aeromagnetic Compensation Method Based on a Multimodel for Mitigating Multicollinearity |
title_sort |
aeromagnetic compensation method based on a multimodel for mitigating multicollinearity |
publisher |
MDPI AG |
series |
Sensors |
issn |
1424-8220 |
publishDate |
2019-07-01 |
description |
Aeromagnetic surveys play an important role in geophysical exploration and many other fields. In many applications, magnetometers are installed aboard an aircraft to survey large areas. Due to its composition, an aircraft has its own magnetic field, which degrades the reliability of the measurements, and thus a technique (named aeromagnetic compensation) that reduces the magnetic interference field effect is required. Commonly, based on the Tolles−Lawson model, this issue is solved as a linear regression problem. However, multicollinearity, which refers to the case when more than two model variables are highly linearly related, creates accuracy problems when estimating the model coefficients. The analysis in this study indicates that the variables that cause multicollinearity are related to the flight heading. To take this point into account, a multimodel compensation method is proposed. By selecting the variables that contribute less to the multicollinearity, different sub-models are built to describe the magnetic interference of the aircraft when flying in different orientations. This method restricts the impact of multicollinearity and improves the reliability of the measurements. Compared with the existing methods, the proposed method reduces the interference field more effectively, which is verified by a set of airborne tests. |
topic |
magnetometer aeromagnetic survey aeromagnetic compensation linear regression multicollinearity |
url |
https://www.mdpi.com/1424-8220/19/13/2931 |
work_keys_str_mv |
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