Atmospheric Measurement Techniques
Atmospheric Measurement Techniques
AMT
Articles | Volume 12, issue 5
Articles | Volume 12, issue 5
https://doi.org/10.5194/amt-12-2967-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/amt-12-2967-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 12, issue 5
Research article
 | 
29 May 2019
Research article |  | 29 May 2019

The cost function of the data fusion process and its application

Simone Ceccherini, Nicola Zoppetti, Bruno Carli, Ugo Cortesi, Samuele Del Bianco, and Cecilia Tirelli

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Short summary
We have analytically calculated the expected value and the variance of the cost function that is minimized in the complete data fusion and propose a procedure that uses these quantities to constrain the values of the inconsistency covariance matrices. These matrices have to be added to the error covariance matrices of the measurements in order to fuse measurements that are inconsistent because of different vertical grids, not perfect time and space coincidence and different forward model errors.
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