Articles | Volume 12, issue 5
https://doi.org/10.5194/amt-12-2967-2019
https://doi.org/10.5194/amt-12-2967-2019
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

Related authors

Extension of the Complete Data Fusion algorithm to tomographic retrieval products
Cecilia Tirelli, Simone Ceccherini, Samuele Del Bianco, Bernd Funke, Michael Höpfner, Ugo Cortesi, and Piera Raspollini
EGUsphere, https://doi.org/10.5194/egusphere-2025-1283,https://doi.org/10.5194/egusphere-2025-1283, 2025
This preprint is open for discussion and under review for Atmospheric Measurement Techniques (AMT).
Short summary
Optimal variables for retrieval products
Simone Ceccherini
Atmos. Meas. Tech. Discuss., https://doi.org/10.5194/amt-2023-42,https://doi.org/10.5194/amt-2023-42, 2023
Revised manuscript not accepted
Short summary
An improved formula for the complete data fusion
Simone Ceccherini, Nicola Zoppetti, and Bruno Carli
Atmos. Meas. Tech., 15, 7039–7048, https://doi.org/10.5194/amt-15-7039-2022,https://doi.org/10.5194/amt-15-7039-2022, 2022
Short summary
Synergistic retrieval and complete data fusion methods applied to simulated FORUM and IASI-NG measurements
Marco Ridolfi, Cecilia Tirelli, Simone Ceccherini, Claudio Belotti, Ugo Cortesi, and Luca Palchetti
Atmos. Meas. Tech., 15, 6723–6737, https://doi.org/10.5194/amt-15-6723-2022,https://doi.org/10.5194/amt-15-6723-2022, 2022
Short summary
Comment on “Synergetic use of IASI profile and TROPOMI total-column level 2 methane retrieval products” by Schneider et al. (2022)
Simone Ceccherini
Atmos. Meas. Tech., 15, 4407–4410, https://doi.org/10.5194/amt-15-4407-2022,https://doi.org/10.5194/amt-15-4407-2022, 2022
Short summary

Related subject area

Subject: Gases | Technique: Remote Sensing | Topic: Data Processing and Information Retrieval
Quantitative estimate of several sources of uncertainty in drone-based methane emission measurements
Tannaz H. Mohammadloo, Matthew Jones, Bas van de Kerkhof, Kyle Dawson, Brendan J. Smith, Stephen Conley, Abigail Corbett, and Rutger IJzermans
Atmos. Meas. Tech., 18, 1301–1324, https://doi.org/10.5194/amt-18-1301-2025,https://doi.org/10.5194/amt-18-1301-2025, 2025
Short summary
Implementation and application of an improved phase spectrum determination scheme for Fourier transform spectrometry
Frank Hase, Paolo Castracane, Angelika Dehn, Omaira Elena García, David W. T. Griffith, Lukas Heizmann, Nicholas B. Jones, Tomi Karppinen, Rigel Kivi, Martine de Mazière, Justus Notholt, and Mahesh Kumar Sha
Atmos. Meas. Tech., 18, 1257–1267, https://doi.org/10.5194/amt-18-1257-2025,https://doi.org/10.5194/amt-18-1257-2025, 2025
Short summary
Remote sensing of lower-middle-thermosphere temperatures using the N2 Lyman–Birge–Hopfield (LBH) bands
Richard Eastes, J. Scott Evans, Quan Gan, William McClintock, and Jerry Lumpe
Atmos. Meas. Tech., 18, 921–928, https://doi.org/10.5194/amt-18-921-2025,https://doi.org/10.5194/amt-18-921-2025, 2025
Short summary
Retrievals of water vapour and temperature exploiting the far-infrared: application to aircraft observations in preparation for the FORUM mission
Sanjeevani Panditharatne, Helen Brindley, Caroline Cox, Richard Siddans, Jonathan Murray, Laura Warwick, and Stuart Fox
Atmos. Meas. Tech., 18, 717–735, https://doi.org/10.5194/amt-18-717-2025,https://doi.org/10.5194/amt-18-717-2025, 2025
Short summary
Global decadal measurements of methanol, ethene, ethyne, and HCN from the Cross-track Infrared Sounder
Kelley C. Wells, Dylan B. Millet, Jared F. Brewer, Vivienne H. Payne, Karen E. Cady-Pereira, Rick Pernak, Susan Kulawik, Corinne Vigouroux, Nicholas Jones, Emmanuel Mahieu, Maria Makarova, Tomoo Nagahama, Ivan Ortega, Mathias Palm, Kimberly Strong, Matthias Schneider, Dan Smale, Ralf Sussmann, and Minqiang Zhou
Atmos. Meas. Tech., 18, 695–716, https://doi.org/10.5194/amt-18-695-2025,https://doi.org/10.5194/amt-18-695-2025, 2025
Short summary

Cited articles

Aires, F., Aznay, O., Prigent, C., Paul, M., and Bernardo, F.: Synergistic multi-wavelength remote sensing versus a posteriori combination of retrieved products: Application for the retrieval of atmospheric profiles using MetOp-A, J. Geophys. Res., 117, D18304, https://doi.org/10.1029/2011JD017188, 2012. 
Calisesi, Y., Soebijanta, V. T., and Oss, R. V.: Regridding of remote soundings: formulation and application to ozone profile comparison, J. Geophys. Res., 110, D23306, https://doi.org/10.1029/2005JD006122, 2005. 
Ceccherini, S.: Equivalence of measurement space solution data fusion and complete fusion, J. Quant. Spectrosc. Ra., 182, 71–74, 2016. 
Ceccherini, S. and Ridolfi, M.: Technical Note: Variance-covariance matrix and averaging kernels for the Levenberg-Marquardt solution of the retrieval of atmospheric vertical profiles, Atmos. Chem. Phys., 10, 3131–3139, https://doi.org/10.5194/acp-10-3131-2010, 2010. 
Ceccherini, S., Carli, B., Pascale, E., Prosperi, M., Raspollini, P., and Dinelli, B. M.: Comparison of measurements made with two different instruments of the same atmospheric vertical profile, Appl. Opt., 42, 6465–6473, 2003. 
Download
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.
Share