Adjustment Criterion and Algorithm in Adjustment Model with Uncertain

• Main Authors: SONG Yingchun, XIE Xuemei, CHEN Xiaoling
• Format: Article
• Language: zho
• Published: Surveying and Mapping Press 2015-02-01
• Series: Acta Geodaetica et Cartographica Sinica
• Subjects: uncertain; adjustment criterion; residual error; total least-squares adjustment

Uncertainty often exists in the process of obtaining measurement data, which affects the reliability of parameter estimation. This paper establishes a new adjustment model in which uncertainty is incorporated into the function model as a parameter. A new adjustment criterion and its iterative algorithm are given based on uncertainty propagation law in the residual error, in which the maximum possible uncertainty is minimized. This paper also analyzes, with examples, the different adjustment criteria and features of optimal solutions about the least-squares adjustment, the uncertainty adjustment and total least-squares adjustment. Existing error theory is extended with new observational data processing method about uncertainty.