Acta Geodaetica et Cartographica Sinica >

2017 , Vol. 46 >Issue 7: 834 - 840

DOI: https://doi.org/10.11947/j.AGCS.2017.20160522

An Algorithm in Adjustment Model with Uncertainty

  • WANG Zhizhong ,
  • CHEN Danhua ,
  • SONG Yingchun
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  • 1. School of Geosciences and Info-physic, Central South University, Changsha 410083, China;
    2. School of Mathamatic and Statistics, Central South University, Changsha 410083, China

Received date: 2016-10-12

  Revised date: 2017-02-27

  Online published: 2017-07-25

Supported by

The National Natural Science Foundation of China (No. 41574006)

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Abstract

The uncertainty of observation often affects the validity of parameter estimation, and the effects of uncertainty can be reduced effectively by incorporating uncertainty into the adjustment model as an observation error parameter. An adjustment criterion is proposed under the bound constrain of uncertainty, in which the sum of squares of random error and uncertainty error should be minimized, and provided an iteration algorithm to solve the adjustment model. With simulation examples, the estimation results of uncertainty least-square method are compared with that of total least-square method. The results show that the estimation results of uncertainty least-square method are better than that of total least-square method to a certain extent and more applicable when uncertainty is greater.

Key words： adjustment model; adjustment criterion; uncertainty; total least-squares estimation; prior information

Cite this article

WANG Zhizhong , CHEN Danhua , SONG Yingchun . An Algorithm in Adjustment Model with Uncertainty[J]. Acta Geodaetica et Cartographica Sinica, 2017 , 46(7) : 834 -840 . DOI: 10.11947/j.AGCS.2017.20160522

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