Analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares method
The block-diagonal least squares method, which theoretically has specific requirements for the observation data and the spatial distribution of its precision, plays an important role in ultra-high degree gravity field determination. On the basis of block-diagonal least squares method, three data pro...
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doaj-5ee0e08ab23e43e2984096ebd4a3ad112021-02-02T03:15:42ZengKeAi Communications Co., Ltd.Geodesy and Geodynamics1674-98472016-05-017319420110.1016/j.geog.2016.05.001Analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares methodWei Liang0Jiancheng Li1Xinyu Xu2Yongqi Zhao3School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, ChinaSchool of Geodesy and Geomatics, Wuhan University, Wuhan 430079, ChinaSchool of Geodesy and Geomatics, Wuhan University, Wuhan 430079, ChinaSchool of Geodesy and Geomatics, Wuhan University, Wuhan 430079, ChinaThe block-diagonal least squares method, which theoretically has specific requirements for the observation data and the spatial distribution of its precision, plays an important role in ultra-high degree gravity field determination. On the basis of block-diagonal least squares method, three data processing strategies are employed to determine the gravity field models using three kinds of simulated global grid data with different noise spatial distribution in this paper. The numerical results show that when we employed the weight matrix corresponding to the noise of the observation data, the model computed by the least squares using the full normal matrix has much higher precision than the one estimated only using the block part of the normal matrix. The model computed by the block-diagonal least squares method without the weight matrix has slightly lower precision than the model computed using the rigorous least squares with the weight matrix. The result offers valuable reference to the using of block-diagonal least squares method in ultra-high gravity model determination.http://www.sciencedirect.com/science/article/pii/S167498471630026XBlock-diagonal least squares methodPrecision distributionParameter sequenceGravity anomalyGravity field |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wei Liang Jiancheng Li Xinyu Xu Yongqi Zhao |
spellingShingle |
Wei Liang Jiancheng Li Xinyu Xu Yongqi Zhao Analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares method Geodesy and Geodynamics Block-diagonal least squares method Precision distribution Parameter sequence Gravity anomaly Gravity field |
author_facet |
Wei Liang Jiancheng Li Xinyu Xu Yongqi Zhao |
author_sort |
Wei Liang |
title |
Analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares method |
title_short |
Analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares method |
title_full |
Analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares method |
title_fullStr |
Analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares method |
title_full_unstemmed |
Analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares method |
title_sort |
analysis of the impact on the gravity field determination from the data with the ununiform noise distribution using block-diagonal least squares method |
publisher |
KeAi Communications Co., Ltd. |
series |
Geodesy and Geodynamics |
issn |
1674-9847 |
publishDate |
2016-05-01 |
description |
The block-diagonal least squares method, which theoretically has specific requirements for the observation data and the spatial distribution of its precision, plays an important role in ultra-high degree gravity field determination. On the basis of block-diagonal least squares method, three data processing strategies are employed to determine the gravity field models using three kinds of simulated global grid data with different noise spatial distribution in this paper. The numerical results show that when we employed the weight matrix corresponding to the noise of the observation data, the model computed by the least squares using the full normal matrix has much higher precision than the one estimated only using the block part of the normal matrix. The model computed by the block-diagonal least squares method without the weight matrix has slightly lower precision than the model computed using the rigorous least squares with the weight matrix. The result offers valuable reference to the using of block-diagonal least squares method in ultra-high gravity model determination. |
topic |
Block-diagonal least squares method Precision distribution Parameter sequence Gravity anomaly Gravity field |
url |
http://www.sciencedirect.com/science/article/pii/S167498471630026X |
work_keys_str_mv |
AT weiliang analysisoftheimpactonthegravityfielddeterminationfromthedatawiththeununiformnoisedistributionusingblockdiagonalleastsquaresmethod AT jianchengli analysisoftheimpactonthegravityfielddeterminationfromthedatawiththeununiformnoisedistributionusingblockdiagonalleastsquaresmethod AT xinyuxu analysisoftheimpactonthegravityfielddeterminationfromthedatawiththeununiformnoisedistributionusingblockdiagonalleastsquaresmethod AT yongqizhao analysisoftheimpactonthegravityfielddeterminationfromthedatawiththeununiformnoisedistributionusingblockdiagonalleastsquaresmethod |
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1724308251996061696 |