Preprints
https://doi.org/10.5194/amt-2022-182
https://doi.org/10.5194/amt-2022-182
 
29 Aug 2022
29 Aug 2022
Status: this preprint is currently under review for the journal AMT.

An improved formula for the Complete Data Fusion

Simone Ceccherini, Nicola Zoppetti, and Bruno Carli Simone Ceccherini et al.
  • Istituto di Fisica Applicata “Nello Carrara” del Consiglio Nazionale delle Ricerche, Via Madonna del Piano 10, 50019 Sesto Fiorentino, Italy

Abstract. The Complete Data Fusion is a method that combines independent measurements of an atmospheric vertical profile. Recently a new formula for the Complete Data Fusion, which does not contain matrices that can be singular and overcomes the generalized inverse approximation used when singular matrices have to be inverted, has been proposed. We show that the new formula is a generalization of the original one and analyze the analytical relationship between the two formulas when generalized inverse matrices are used for singular matrices. We extend the new formula to include interpolation and coincidence errors, which must be considered when the profiles to be fused are measured on different vertical grids and at either different times or locations. Finally, we use a real measurement of the IASI instrument to show the improved performances of the new formula with respect to the original one.

Simone Ceccherini et al.

Status: open (until 03 Oct 2022)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on amt-2022-182', Anonymous Referee #1, 12 Sep 2022 reply
  • RC2: 'Comment on amt-2022-182', Anonymous Referee #2, 12 Sep 2022 reply

Simone Ceccherini et al.

Simone Ceccherini et al.

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Short summary
A new formula of the Complete Data Fusion that, differently from the original one, does not contain matrices that can be singular, is discussed. We show that the new formula is a generalization of the original one and derive analytically and numerically, using a real IASI ozone measurement, the errors made with the old formula when the generalized inverse of singular matrices is used. An operational version of the new formula that includes interpolation and coincidence errors is also provided.