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


Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision
AR by Simone Ceccherini on behalf of the Authors (30 Apr 2019)  Author's response   Manuscript 
ED: Publish subject to technical corrections (07 May 2019) by Andre Butz
AR by Simone Ceccherini on behalf of the Authors (08 May 2019)  Author's response   Manuscript 
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.