Total Least Squares Fitting Estimation Model for GPS Height Transformation

WANG Leyang; WU Fei; WU Liangcai

doi:10.13203/j.whugis20140421

Volume 41 Issue 9

Sep. 2016

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Geomatics and Information Science of Wuhan University > 2016 > 41(9): 1259-1264. > DOI: 10.13203/j.whugis20140421

WANG Leyang, WU Fei, WU Liangcai. Total Least Squares Fitting Estimation Model for GPS Height Transformation[J]. Geomatics and Information Science of Wuhan University, 2016, 41(9): 1259-1264. DOI: 10.13203/j.whugis20140421

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Total Least Squares Fitting Estimation Model for GPS Height Transformation

WANG Leyang^{1, 2,},
WU Fei^{1, 3},
WU Liangcai¹

1.
Faculty of Geomatics, East China Institute of Technology, Nanchang 330013, China
2.
Key Laboratory of Watershed Ecology and Geographical Environment Monitoring, NASG, Nanchang 330013, China
3.
School of Environment Science and Spatial Informatics, China University of Mining and Technology, Xuzhou 221116, China

Funds:

The National Natural Science Foundation of China 41204003

Science and Technology Project of the Education Department of Jiangxi Province GJJ150595

Science and Technology Project of the Education Department of Jiangxi Province KJLD12077

Science and Technology Project of the Education Department of Jiangxi Province KJLD14049

Key Laboratory of Watershed Ecology and Geographical Environment Monitoring, NASG WE2015005

Key Laboratory of Mapping from Space, NASG K201502

National Department Public Benefit Research Foundation (Surveying, Mapping and Geoinformation) 201512026

Scientific Research Foundation of ECIT DHBK201113

Support Program for Outstanding Youth Talents in Jiangxi Province

National Key Research and Development Program 2016YFB0501405

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Author Bio:
WANG Leyang, PhD, associate professor, specializes in geodetic inversion and geodetic data processing.wleyang@163.com
Received Date: September 08, 2014
Published Date: September 04, 2016

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Abstract

Abstract

In the current research on the total least squares method in the conversion of GPS height, the calculation of the conversion parameter and elevation abnormities of the check points are generally performed in two steps, and only consider the error in the coefficient matrix used to calculate the parameters; errors in the coordinate of the check point are ignored. In view of this gap, we put forward a total least squares fitting estimation model of GPS height transformation, that combines the calculation of fitting parameters with the calculation of elevation abnormities at inspection points, and considers the position error of all points. Collocation calculation experiemental results verify the feasibility of this method. These test results show that the method can effectively improve the accuracy of elevation conversion.
- total least squares,
- collocation,
- GPS elevation,
- elevation transformation,
- polynomial fitting

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