Articles | Volume 15, issue 14
https://doi.org/10.5194/amt-15-4407-2022
https://doi.org/10.5194/amt-15-4407-2022
Peer-reviewed comment
 | 
29 Jul 2022
Peer-reviewed comment |  | 29 Jul 2022

Comment on “Synergetic use of IASI profile and TROPOMI total-column level 2 methane retrieval products” by Schneider et al. (2022)

Simone Ceccherini

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This preprint is open for discussion and under review for Atmospheric Measurement Techniques (AMT).
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Cited articles

Ceccherini, S.: Equivalence of measurement space solution data fusion and complete fusion, J. Quant. Spectrosc. Ra., 182, 71–74, 2016. 
Ceccherini, S., Raspollini, P., and Carli, B.: Optimal use of the information provided by indirect measurements of atmospheric vertical profiles, Opt. Express., 17, 4944–4958, 2009. 
Ceccherini, S., Carli, B., and Raspollini, P.: Quality quantifier of indirect measurements, Opt. Express, 20, 5151–5167, 2012. 
Ceccherini, S., Carli, B., and Raspollini, P.: Equivalence of data fusion and simultaneous retrieval, Opt. Express, 23, 8476–8488, 2015. 
Fisher, R. A.: The logic of inductive inference, J. R. Stat. Soc., 98, 39–54, 1935. 
Short summary
The equivalence between the data fusion performed using the Kalman filter and the Complete Data Fusion has been proved, and a generalization of the Complete Data Fusion formula, that is valid also in the case that the noise error covariance matrices of the fused products are singular, is derived. The two methods are also equivalent to the measurement–space–solution data fusion method, and for moderately nonlinear problems, the three methods are all equivalent to the simultaneous retrieval.
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