Equivalence of data fusion and simultaneous retrieval

Simone Ceccherini; Bruno Carli; Piera Raspollini

doi:10.1364/OE.23.008476

Equivalence of data fusion and simultaneous retrieval

Simone Ceccherini, Bruno Carli, and Piera Raspollini

Optics Express
Vol. 23,
Issue 7,
pp. 8476-8488
(2015)
•https://doi.org/10.1364/OE.23.008476

Get Citation
Copy Citation Text
Simone Ceccherini, Bruno Carli, and Piera Raspollini, "Equivalence of data fusion and simultaneous retrieval," Opt. Express 23, 8476-8488 (2015)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (1375 KB)
Set citation alerts
Save article

Related Topics
Table of Contents Category
- Atmospheric and Oceanic Optics
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Atmospheric composition (010.1280)
- Mathematical methods in physics (000.3860)
- Inverse problems (100.3190)
- Algorithms (150.1135)
- Multisensor methods (150.4232)
- Passive remote sensing (280.4991)

About this Article
History
- Original Manuscript: January 20, 2015
- Revised Manuscript: March 11, 2015
- Manuscript Accepted: March 11, 2015
- Published: March 25, 2015

Accessible

Open Access

Abstract

A new method for the data fusion of atmospheric vertical profiles, referred to as complete fusion, is presented. Using the measurements of the MIPAS instrument, the performance of the method is compared with those of weighted and arithmetic means. The complete fusion perfectly reproduces the results of the simultaneous retrieval with equal error estimates and number of degrees of freedom, while arithmetic and weighted means have relatively low vertical resolution and differ from the simultaneous retrieval by more than their errors. In addition the problem posed in this context by systematic errors is analyzed and alleviating procedures are considered.

Full Article | PDF Article

OSA Recommended Articles

The average of atmospheric vertical profiles

Simone Ceccherini, Bruno Carli, and Piera Raspollini
Opt. Express 22(20) 24808-24816 (2014)

Retrieving cloud geometrical extents from MIPAS/ENVISAT measurements with a 2-D tomographic approach

E. Castelli, B.M. Dinelli, M. Carlotti, E. Arnone, E. Papandrea, and M. Ridolfi
Opt. Express 19(21) 20704-20721 (2011)

Quality quantifier of indirect measurements

Simone Ceccherini, Bruno Carli, and Piera Raspollini
Opt. Express 20(5) 5151-5167 (2012)

References

View by:
Article Order
|
Year
|
Author
|
Publication

H. Fischer, M. Birk, C. Blom, B. Carli, M. Carlotti, T. Clarmann, L. Delbouille, A. Dudhia, D. Ehhalt, M. Endemann, J. M. Flaud, R. Gessner, A. Kleinert, R. Koopman, J. Langen, M. Lopez-Puertas, P. Mosner, H. Nett, H. Oelhaf, G. Perron, J. Remedios, M. Ridolfi, G. Stiller, and R. Zander, “MIPAS: an instrument for atmospheric and climate research,” Atmos. Chem. Phys. 8(8), 2151–2188 (2008).
[Crossref]
J. W. Waters, L. Froidevaux, R. S. Harwood, R. F. Jarnot, H. M. Pickett, W. G. Read, P. H. Siegel, R. E. Cofield, M. J. Filipiak, D. A. Flower, J. R. Holden, G. K. Lau, N. J. Livesey, G. L. Manney, H. C. Pumphrey, M. L. Santee, D. L. Wu, D. T. Cuddy, R. R. Lay, M. S. Loo, V. S. Perun, M. J. Schwartz, P. C. Stek, R. P. Thurstans, M. A. Boyles, K. M. Chandra, M. C. Chavez, G. S. Chen, B. V. Chudasama, R. Dodge, R. A. Fuller, M. A. Girard, J. H. Jiang, Y. Jiang, B. W. Knosp, R. C. LaBelle, J. C. Lam, K. A. Lee, D. Miller, J. E. Oswald, N. C. Patel, D. M. Pukala, O. Quintero, D. M. Scaff, W. V. Snyder, M. C. Tope, P. A. Wagner, and M. J. Walch, “The Earth Observing System Microwave Limb Sounder (EOS MLS) on the Aura satellite,” IEEE Trans. Geosci. Rem. Sens. 44(5), 1075–1092 (2006).
[Crossref]
P. F. Bernath, C. T. McElroy, M. C. Abrams, C. D. Boone, M. Butler, C. Camy-Peyret, M. Carleer, C. Clerbaux, P.-F. Coheur, R. Colin, P. DeCola, M. De Mazière, J. R. Drummond, D. Dufour, W. F. J. Evans, H. Fast, D. Fussen, K. Gilbert, D. E. Jennings, E. J. Llewellyn, R. P. Lowe, E. Mahieu, J. C. Mc-Connell, M. McHugh, S. D. McLeod, R. Michaud, C. Midwinter, R. Nassar, F. Nichitiu, C. Nowlan, C. P. Rinsland, Y. J. Rochon, N. Rowlands, K. Semeniuk, P. Simon, R. Skelton, J. J. Sloan, M.-A. Soucy, K. Strong, P. Tremblay, D. Turnbull, K. A. Walker, I. Walkty, D. A. Wardle, V. Wehrle, R. Zander, and J. Zou, “Atmospheric Chemistry Experiment (ACE): Mission overview,” Geophys. Res. Lett. 32(15), L15S01 (2005).
[Crossref]
W. L. Smith, H. Revercomb, G. Bingham, A. Larar, H. Huang, D. Zhou, J. Li, X. Liu, and S. Kireev, “Technical note: evolution, current capabilities, and future advance in satellite nadir viewing ultra-spectral IR sounding of the lower atmosphere,” Atmos. Chem. Phys. 9(15), 5563–5574 (2009).
[Crossref]
European Commission, “Copernicus: The European Earth Observations programme,” http://www.copernicus.eu/ .
F. Aires, O. Aznay, C. Prigent, M. Paul, and F. Bernardo, “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(D18), D18304 (2012).
[Crossref]
S. Ceccherini, P. Raspollini, and B. Carli, “Optimal use of the information provided by indirect measurements of atmospheric vertical profiles,” Opt. Express 17(7), 4944–4958 (2009).
[Crossref] [PubMed]
S. Ceccherini, B. Carli, U. Cortesi, S. Del Bianco, and P. Raspollini, “Retrieval of the vertical column of an atmospheric constituent from data fusion of remote sensing measurements,” J. Quant. Spectrosc. Radiat. 111(3), 507–514 (2010).
[Crossref]
S. Ceccherini, U. Cortesi, S. Del Bianco, P. Raspollini, and B. Carli, “IASI-METOP and MIPAS-ENVISAT data fusion,” Atmos. Chem. Phys. 10(10), 4689–4698 (2010).
[Crossref]
J. X. Warner, R. Yang, Z. Wei, F. Carminati, A. Tangborn, Z. Sun, W. Lahoz, J.-L. Attié, L. El Amraoui, and B. Duncan, “Global carbon monoxide products from combined AIRS, TES and MLS measurements on A-train satellites,” Atmos. Chem. Phys. 14(1), 103–114 (2014).
[Crossref]
C. D. Rodgers, Inverse Methods for Atmospheric Sounding: Theory and Practice, Vol. 2 of Series on Atmospheric, Oceanic and Planetary Physics (World Scientific, 2000).
S. Ceccherini and M. Ridolfi, “Technical Note: Variance-covariance matrix and averaging kernels for the Levenberg-Marquardt solution of the retrieval of atmospheric vertical profiles,” Atmos. Chem. Phys. 10(6), 3131–3139 (2010).
[Crossref]
S. Ceccherini, “A generalization of optimal estimation for the retrieval of atmospheric vertical profiles,” J. Quant. Spectrosc. Radiat. 113(12), 1437–1440 (2012).
[Crossref]
S. Ceccherini, B. Carli, and P. Raspollini, “The average of atmospheric vertical profiles,” Opt. Express 22(20), 24808–24816 (2014).
[Crossref] [PubMed]
S. Ceccherini, B. Carli, and P. Raspollini, “Quality quantifier of indirect measurements,” Opt. Express 20(5), 5151–5167 (2012).
[Crossref] [PubMed]
S. Ceccherini, B. Carli, and P. Raspollini, “Quality of MIPAS operational products,” J. Quant. Spectrosc. Radiat. 121, 45–55 (2013).
[Crossref]
R. A. Fisher, “The logic of inductive inference,” J.R. Stat. Soc. 98(1), 39–54 (1935).
[Crossref]
M. Ridolfi, B. Carli, M. Carlotti, T. von Clarmann, B. M. Dinelli, A. Dudhia, J. M. Flaud, M. Höpfner, P. E. Morris, P. Raspollini, G. Stiller, and R. J. Wells, “Optimized forward model and retrieval scheme for MIPAS near-real-time data processing,” Appl. Opt. 39(8), 1323–1340 (2000).
[Crossref] [PubMed]
P. Raspollini, C. Belotti, A. Burgess, B. Carli, M. Carlotti, S. Ceccherini, B. M. Dinelli, A. Dudhia, J. M. Flaud, B. Funke, M. Hopfner, M. Lopez-Puertas, V. Payne, C. Piccolo, J. J. Remedios, M. Ridolfi, and R. Spang, “MIPAS level 2 operational analysis,” Atmos. Chem. Phys. 6(12), 5605–5630 (2006).
[Crossref]
P. Raspollini, B. Carli, M. Carlotti, S. Ceccherini, A. Dehn, B. M. Dinelli, A. Dudhia, J.-M. Flaud, M. López-Puertas, F. Niro, J. J. Remedios, M. Ridolfi, H. Sembhi, L. Sgheri, and T. von Clarmann, “Ten years of MIPAS measurements with ESA Level 2 processor V6 – Part 1: Retrieval algorithm and diagnostics of the products,” Atmos. Meas. Tech. 6(9), 2419–2439 (2013).
[Crossref]
A. Doicu, T. Trautmann, and F. Schreier, Numerical Regularization for Atmospheric Inverse Problems (Springer, 2010).
S. Ceccherini, “Analytical determination of the regularization parameter in the retrieval of atmospheric vertical profiles,” Opt. Lett. 30(19), 2554–2556 (2005).
[Crossref] [PubMed]
S. Ceccherini, C. Belotti, B. Carli, P. Raspollini, and M. Ridolfi, “Technical Note: Regularization performances with the error consistency method in the case of retrieved atmospheric profiles,” Atmos. Chem. Phys. 7(5), 1435–1440 (2007).
[Crossref]
M. Ridolfi and L. Sgheri, “Iterative approach to self-adapting and altitude-dependent regularization for atmospheric profile retrievals,” Opt. Express 19(27), 26696–26709 (2011).
[Crossref] [PubMed]
M. Carlotti, “Global-fit approach to the analysis of limb-scanning atmospheric measurements,” Appl. Opt. 27(15), 3250–3254 (1988).
[Crossref] [PubMed]
A. Dudhia, V. L. Jay, and C. D. Rodgers, “Microwindow selection for high-spectral-resolution sounders,” Appl. Opt. 41(18), 3665–3673 (2002).
[Crossref] [PubMed]
M. Ridolfi and L. Sgheri, “On the choice of retrieval variables in the inversion of remotely sensed atmospheric measurements,” Opt. Express 21(9), 11465–11474 (2013).
[Crossref] [PubMed]
J. J. Remedios, R. J. Leigh, A. M. Waterfall, D. P. Moore, H. Sembhi, I. Parkes, J. Greenhough, M. P. Chipperfield, and D. Hauglustaine, “MIPAS reference atmospheres and comparisons to V4.61/V4.62 MIPAS level 2 geophysical data sets,” Atmos. Chem. Phys. Discuss. 7(4), 9973–10017 (2007).
[Crossref]

2014 (2)

J. X. Warner, R. Yang, Z. Wei, F. Carminati, A. Tangborn, Z. Sun, W. Lahoz, J.-L. Attié, L. El Amraoui, and B. Duncan, “Global carbon monoxide products from combined AIRS, TES and MLS measurements on A-train satellites,” Atmos. Chem. Phys. 14(1), 103–114 (2014).
[Crossref]

S. Ceccherini, B. Carli, and P. Raspollini, “The average of atmospheric vertical profiles,” Opt. Express 22(20), 24808–24816 (2014).
[Crossref] [PubMed]

2013 (3)

M. Ridolfi and L. Sgheri, “On the choice of retrieval variables in the inversion of remotely sensed atmospheric measurements,” Opt. Express 21(9), 11465–11474 (2013).
[Crossref] [PubMed]

P. Raspollini, B. Carli, M. Carlotti, S. Ceccherini, A. Dehn, B. M. Dinelli, A. Dudhia, J.-M. Flaud, M. López-Puertas, F. Niro, J. J. Remedios, M. Ridolfi, H. Sembhi, L. Sgheri, and T. von Clarmann, “Ten years of MIPAS measurements with ESA Level 2 processor V6 – Part 1: Retrieval algorithm and diagnostics of the products,” Atmos. Meas. Tech. 6(9), 2419–2439 (2013).
[Crossref]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality of MIPAS operational products,” J. Quant. Spectrosc. Radiat. 121, 45–55 (2013).
[Crossref]

2012 (3)

S. Ceccherini, “A generalization of optimal estimation for the retrieval of atmospheric vertical profiles,” J. Quant. Spectrosc. Radiat. 113(12), 1437–1440 (2012).
[Crossref]

F. Aires, O. Aznay, C. Prigent, M. Paul, and F. Bernardo, “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(D18), D18304 (2012).
[Crossref]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality quantifier of indirect measurements,” Opt. Express 20(5), 5151–5167 (2012).
[Crossref] [PubMed]

2011 (1)

M. Ridolfi and L. Sgheri, “Iterative approach to self-adapting and altitude-dependent regularization for atmospheric profile retrievals,” Opt. Express 19(27), 26696–26709 (2011).
[Crossref] [PubMed]

2010 (3)

S. Ceccherini, B. Carli, U. Cortesi, S. Del Bianco, and P. Raspollini, “Retrieval of the vertical column of an atmospheric constituent from data fusion of remote sensing measurements,” J. Quant. Spectrosc. Radiat. 111(3), 507–514 (2010).
[Crossref]

S. Ceccherini, U. Cortesi, S. Del Bianco, P. Raspollini, and B. Carli, “IASI-METOP and MIPAS-ENVISAT data fusion,” Atmos. Chem. Phys. 10(10), 4689–4698 (2010).
[Crossref]

S. Ceccherini and M. Ridolfi, “Technical Note: Variance-covariance matrix and averaging kernels for the Levenberg-Marquardt solution of the retrieval of atmospheric vertical profiles,” Atmos. Chem. Phys. 10(6), 3131–3139 (2010).
[Crossref]

2009 (2)

W. L. Smith, H. Revercomb, G. Bingham, A. Larar, H. Huang, D. Zhou, J. Li, X. Liu, and S. Kireev, “Technical note: evolution, current capabilities, and future advance in satellite nadir viewing ultra-spectral IR sounding of the lower atmosphere,” Atmos. Chem. Phys. 9(15), 5563–5574 (2009).
[Crossref]

S. Ceccherini, P. Raspollini, and B. Carli, “Optimal use of the information provided by indirect measurements of atmospheric vertical profiles,” Opt. Express 17(7), 4944–4958 (2009).
[Crossref] [PubMed]

2008 (1)

H. Fischer, M. Birk, C. Blom, B. Carli, M. Carlotti, T. Clarmann, L. Delbouille, A. Dudhia, D. Ehhalt, M. Endemann, J. M. Flaud, R. Gessner, A. Kleinert, R. Koopman, J. Langen, M. Lopez-Puertas, P. Mosner, H. Nett, H. Oelhaf, G. Perron, J. Remedios, M. Ridolfi, G. Stiller, and R. Zander, “MIPAS: an instrument for atmospheric and climate research,” Atmos. Chem. Phys. 8(8), 2151–2188 (2008).
[Crossref]

2007 (2)

S. Ceccherini, C. Belotti, B. Carli, P. Raspollini, and M. Ridolfi, “Technical Note: Regularization performances with the error consistency method in the case of retrieved atmospheric profiles,” Atmos. Chem. Phys. 7(5), 1435–1440 (2007).
[Crossref]

J. J. Remedios, R. J. Leigh, A. M. Waterfall, D. P. Moore, H. Sembhi, I. Parkes, J. Greenhough, M. P. Chipperfield, and D. Hauglustaine, “MIPAS reference atmospheres and comparisons to V4.61/V4.62 MIPAS level 2 geophysical data sets,” Atmos. Chem. Phys. Discuss. 7(4), 9973–10017 (2007).
[Crossref]

2006 (2)

P. Raspollini, C. Belotti, A. Burgess, B. Carli, M. Carlotti, S. Ceccherini, B. M. Dinelli, A. Dudhia, J. M. Flaud, B. Funke, M. Hopfner, M. Lopez-Puertas, V. Payne, C. Piccolo, J. J. Remedios, M. Ridolfi, and R. Spang, “MIPAS level 2 operational analysis,” Atmos. Chem. Phys. 6(12), 5605–5630 (2006).
[Crossref]

J. W. Waters, L. Froidevaux, R. S. Harwood, R. F. Jarnot, H. M. Pickett, W. G. Read, P. H. Siegel, R. E. Cofield, M. J. Filipiak, D. A. Flower, J. R. Holden, G. K. Lau, N. J. Livesey, G. L. Manney, H. C. Pumphrey, M. L. Santee, D. L. Wu, D. T. Cuddy, R. R. Lay, M. S. Loo, V. S. Perun, M. J. Schwartz, P. C. Stek, R. P. Thurstans, M. A. Boyles, K. M. Chandra, M. C. Chavez, G. S. Chen, B. V. Chudasama, R. Dodge, R. A. Fuller, M. A. Girard, J. H. Jiang, Y. Jiang, B. W. Knosp, R. C. LaBelle, J. C. Lam, K. A. Lee, D. Miller, J. E. Oswald, N. C. Patel, D. M. Pukala, O. Quintero, D. M. Scaff, W. V. Snyder, M. C. Tope, P. A. Wagner, and M. J. Walch, “The Earth Observing System Microwave Limb Sounder (EOS MLS) on the Aura satellite,” IEEE Trans. Geosci. Rem. Sens. 44(5), 1075–1092 (2006).
[Crossref]

2005 (2)

P. F. Bernath, C. T. McElroy, M. C. Abrams, C. D. Boone, M. Butler, C. Camy-Peyret, M. Carleer, C. Clerbaux, P.-F. Coheur, R. Colin, P. DeCola, M. De Mazière, J. R. Drummond, D. Dufour, W. F. J. Evans, H. Fast, D. Fussen, K. Gilbert, D. E. Jennings, E. J. Llewellyn, R. P. Lowe, E. Mahieu, J. C. Mc-Connell, M. McHugh, S. D. McLeod, R. Michaud, C. Midwinter, R. Nassar, F. Nichitiu, C. Nowlan, C. P. Rinsland, Y. J. Rochon, N. Rowlands, K. Semeniuk, P. Simon, R. Skelton, J. J. Sloan, M.-A. Soucy, K. Strong, P. Tremblay, D. Turnbull, K. A. Walker, I. Walkty, D. A. Wardle, V. Wehrle, R. Zander, and J. Zou, “Atmospheric Chemistry Experiment (ACE): Mission overview,” Geophys. Res. Lett. 32(15), L15S01 (2005).
[Crossref]

S. Ceccherini, “Analytical determination of the regularization parameter in the retrieval of atmospheric vertical profiles,” Opt. Lett. 30(19), 2554–2556 (2005).
[Crossref] [PubMed]

1935 (1)

R. A. Fisher, “The logic of inductive inference,” J.R. Stat. Soc. 98(1), 39–54 (1935).
[Crossref]

Abrams, M. C.

Aires, F.

Attié, J.-L.

Aznay, O.

Belotti, C.

Bernardo, F.

Bernath, P. F.

Bingham, G.

Birk, M.

Blom, C.

Boone, C. D.

Boyles, M. A.

Burgess, A.

Butler, M.

Camy-Peyret, C.

Carleer, M.

Carli, B.

S. Ceccherini, B. Carli, and P. Raspollini, “The average of atmospheric vertical profiles,” Opt. Express 22(20), 24808–24816 (2014).
[Crossref] [PubMed]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality of MIPAS operational products,” J. Quant. Spectrosc. Radiat. 121, 45–55 (2013).
[Crossref]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality quantifier of indirect measurements,” Opt. Express 20(5), 5151–5167 (2012).
[Crossref] [PubMed]

S. Ceccherini, U. Cortesi, S. Del Bianco, P. Raspollini, and B. Carli, “IASI-METOP and MIPAS-ENVISAT data fusion,” Atmos. Chem. Phys. 10(10), 4689–4698 (2010).
[Crossref]

Carlotti, M.

M. Carlotti, “Global-fit approach to the analysis of limb-scanning atmospheric measurements,” Appl. Opt. 27(15), 3250–3254 (1988).
[Crossref] [PubMed]

Carminati, F.

Ceccherini, S.

S. Ceccherini, B. Carli, and P. Raspollini, “The average of atmospheric vertical profiles,” Opt. Express 22(20), 24808–24816 (2014).
[Crossref] [PubMed]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality of MIPAS operational products,” J. Quant. Spectrosc. Radiat. 121, 45–55 (2013).
[Crossref]

S. Ceccherini, “A generalization of optimal estimation for the retrieval of atmospheric vertical profiles,” J. Quant. Spectrosc. Radiat. 113(12), 1437–1440 (2012).
[Crossref]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality quantifier of indirect measurements,” Opt. Express 20(5), 5151–5167 (2012).
[Crossref] [PubMed]

S. Ceccherini, U. Cortesi, S. Del Bianco, P. Raspollini, and B. Carli, “IASI-METOP and MIPAS-ENVISAT data fusion,” Atmos. Chem. Phys. 10(10), 4689–4698 (2010).
[Crossref]

S. Ceccherini, “Analytical determination of the regularization parameter in the retrieval of atmospheric vertical profiles,” Opt. Lett. 30(19), 2554–2556 (2005).
[Crossref] [PubMed]

Chandra, K. M.

Chavez, M. C.

Chen, G. S.

Chipperfield, M. P.

Chudasama, B. V.

Clarmann, T.

Clerbaux, C.

Cofield, R. E.

Coheur, P.-F.

Colin, R.

Cortesi, U.

S. Ceccherini, U. Cortesi, S. Del Bianco, P. Raspollini, and B. Carli, “IASI-METOP and MIPAS-ENVISAT data fusion,” Atmos. Chem. Phys. 10(10), 4689–4698 (2010).
[Crossref]

Cuddy, D. T.

De Mazière, M.

DeCola, P.

Dehn, A.

Del Bianco, S.

S. Ceccherini, U. Cortesi, S. Del Bianco, P. Raspollini, and B. Carli, “IASI-METOP and MIPAS-ENVISAT data fusion,” Atmos. Chem. Phys. 10(10), 4689–4698 (2010).
[Crossref]

Delbouille, L.

Dinelli, B. M.

Dodge, R.

Drummond, J. R.

Dudhia, A.

A. Dudhia, V. L. Jay, and C. D. Rodgers, “Microwindow selection for high-spectral-resolution sounders,” Appl. Opt. 41(18), 3665–3673 (2002).
[Crossref] [PubMed]

Dufour, D.

Duncan, B.

Ehhalt, D.

El Amraoui, L.

Endemann, M.

Evans, W. F. J.

Fast, H.

Filipiak, M. J.

Fischer, H.

Fisher, R. A.

R. A. Fisher, “The logic of inductive inference,” J.R. Stat. Soc. 98(1), 39–54 (1935).
[Crossref]

Flaud, J. M.

Flaud, J.-M.

Flower, D. A.

Froidevaux, L.

Fuller, R. A.

Funke, B.

Fussen, D.

Gessner, R.

Gilbert, K.

Girard, M. A.

Greenhough, J.

Harwood, R. S.

Hauglustaine, D.

Holden, J. R.

Hopfner, M.

Höpfner, M.

Huang, H.

Jarnot, R. F.

Jay, V. L.

A. Dudhia, V. L. Jay, and C. D. Rodgers, “Microwindow selection for high-spectral-resolution sounders,” Appl. Opt. 41(18), 3665–3673 (2002).
[Crossref] [PubMed]

Jennings, D. E.

Jiang, J. H.

Jiang, Y.

Kireev, S.

Kleinert, A.

Knosp, B. W.

Koopman, R.

LaBelle, R. C.

Lahoz, W.

Lam, J. C.

Langen, J.

Larar, A.

Lau, G. K.

Lay, R. R.

Lee, K. A.

Leigh, R. J.

Li, J.

Liu, X.

Livesey, N. J.

Llewellyn, E. J.

Loo, M. S.

Lopez-Puertas, M.

López-Puertas, M.

Lowe, R. P.

Mahieu, E.

Manney, G. L.

Mc-Connell, J. C.

McElroy, C. T.

McHugh, M.

McLeod, S. D.

Michaud, R.

Midwinter, C.

Miller, D.

Moore, D. P.

Morris, P. E.

Mosner, P.

Nassar, R.

Nett, H.

Nichitiu, F.

Niro, F.

Nowlan, C.

Oelhaf, H.

Oswald, J. E.

Parkes, I.

Patel, N. C.

Paul, M.

Payne, V.

Perron, G.

Perun, V. S.

Piccolo, C.

Pickett, H. M.

Prigent, C.

Pukala, D. M.

Pumphrey, H. C.

Quintero, O.

Raspollini, P.

S. Ceccherini, B. Carli, and P. Raspollini, “The average of atmospheric vertical profiles,” Opt. Express 22(20), 24808–24816 (2014).
[Crossref] [PubMed]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality of MIPAS operational products,” J. Quant. Spectrosc. Radiat. 121, 45–55 (2013).
[Crossref]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality quantifier of indirect measurements,” Opt. Express 20(5), 5151–5167 (2012).
[Crossref] [PubMed]

S. Ceccherini, U. Cortesi, S. Del Bianco, P. Raspollini, and B. Carli, “IASI-METOP and MIPAS-ENVISAT data fusion,” Atmos. Chem. Phys. 10(10), 4689–4698 (2010).
[Crossref]

Read, W. G.

Remedios, J.

Remedios, J. J.

Revercomb, H.

Ridolfi, M.

M. Ridolfi and L. Sgheri, “On the choice of retrieval variables in the inversion of remotely sensed atmospheric measurements,” Opt. Express 21(9), 11465–11474 (2013).
[Crossref] [PubMed]

Rinsland, C. P.

Rochon, Y. J.

Rodgers, C. D.

A. Dudhia, V. L. Jay, and C. D. Rodgers, “Microwindow selection for high-spectral-resolution sounders,” Appl. Opt. 41(18), 3665–3673 (2002).
[Crossref] [PubMed]

Rowlands, N.

Santee, M. L.

Scaff, D. M.

Schwartz, M. J.

Sembhi, H.

Semeniuk, K.

Sgheri, L.

M. Ridolfi and L. Sgheri, “On the choice of retrieval variables in the inversion of remotely sensed atmospheric measurements,” Opt. Express 21(9), 11465–11474 (2013).
[Crossref] [PubMed]

Siegel, P. H.

Simon, P.

Skelton, R.

Sloan, J. J.

Smith, W. L.

Snyder, W. V.

Soucy, M.-A.

Spang, R.

Stek, P. C.

Stiller, G.

Strong, K.

Sun, Z.

Tangborn, A.

Thurstans, R. P.

Tope, M. C.

Tremblay, P.

Turnbull, D.

von Clarmann, T.

Wagner, P. A.

Walch, M. J.

Walker, K. A.

Walkty, I.

Wardle, D. A.

Warner, J. X.

Waterfall, A. M.

Waters, J. W.

Wehrle, V.

Wei, Z.

Wells, R. J.

Wu, D. L.

Yang, R.

Zander, R.

Zhou, D.

Zou, J.

Appl. Opt. (3)

M. Carlotti, “Global-fit approach to the analysis of limb-scanning atmospheric measurements,” Appl. Opt. 27(15), 3250–3254 (1988).
[Crossref] [PubMed]

A. Dudhia, V. L. Jay, and C. D. Rodgers, “Microwindow selection for high-spectral-resolution sounders,” Appl. Opt. 41(18), 3665–3673 (2002).
[Crossref] [PubMed]

Atmos. Chem. Phys. (7)

S. Ceccherini, U. Cortesi, S. Del Bianco, P. Raspollini, and B. Carli, “IASI-METOP and MIPAS-ENVISAT data fusion,” Atmos. Chem. Phys. 10(10), 4689–4698 (2010).
[Crossref]

Atmos. Chem. Phys. Discuss. (1)

Atmos. Meas. Tech. (1)

Geophys. Res. Lett. (1)

IEEE Trans. Geosci. Rem. Sens. (1)

J. Geophys. Res. (1)

J. Quant. Spectrosc. Radiat. (3)

S. Ceccherini, B. Carli, and P. Raspollini, “Quality of MIPAS operational products,” J. Quant. Spectrosc. Radiat. 121, 45–55 (2013).
[Crossref]

S. Ceccherini, “A generalization of optimal estimation for the retrieval of atmospheric vertical profiles,” J. Quant. Spectrosc. Radiat. 113(12), 1437–1440 (2012).
[Crossref]

J.R. Stat. Soc. (1)

R. A. Fisher, “The logic of inductive inference,” J.R. Stat. Soc. 98(1), 39–54 (1935).
[Crossref]

Opt. Express (5)

S. Ceccherini, B. Carli, and P. Raspollini, “The average of atmospheric vertical profiles,” Opt. Express 22(20), 24808–24816 (2014).
[Crossref] [PubMed]

S. Ceccherini, B. Carli, and P. Raspollini, “Quality quantifier of indirect measurements,” Opt. Express 20(5), 5151–5167 (2012).
[Crossref] [PubMed]

M. Ridolfi and L. Sgheri, “On the choice of retrieval variables in the inversion of remotely sensed atmospheric measurements,” Opt. Express 21(9), 11465–11474 (2013).
[Crossref] [PubMed]

Opt. Lett. (1)

S. Ceccherini, “Analytical determination of the regularization parameter in the retrieval of atmospheric vertical profiles,” Opt. Lett. 30(19), 2554–2556 (2005).
[Crossref] [PubMed]

Other (3)

A. Doicu, T. Trautmann, and F. Schreier, Numerical Regularization for Atmospheric Inverse Problems (Springer, 2010).

European Commission, “Copernicus: The European Earth Observations programme,” http://www.copernicus.eu/ .

C. D. Rodgers, Inverse Methods for Atmospheric Sounding: Theory and Practice, Vol. 2 of Series on Atmospheric, Oceanic and Planetary Physics (World Scientific, 2000).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.

Click here to see a list of articles that cite this paper

Fig. 1 Left panel: a priori profile (green line) and profiles retrieved using all spectra (black line), even spectra (red line) and odd spectra (blue line). Right panel: differences between the profiles obtained with reduced data sets and simultaneous retrieval in the case of even spectra (red line) and in the case of odd spectra (blue line).

Download Full Size | PPT Slide | PDF

Fig. 2 Left panel: profile obtained using the simultaneous retrieval of all spectra (black line) and profiles obtained with complete fusion (blue line), weighted mean (red line) and arithmetic mean (green line) of the two profiles retrieved from even and odd spectra. The errors of these profiles are shown in the right panel with the same colors in dashed lines. The right panel also shows the differences, with respect to the profile obtained using the simultaneous retrieval, of profiles obtained with complete fusion (blue line), weighted mean (red line) and arithmetic mean (green line).

Download Full Size | PPT Slide | PDF

Fig. 3 Left panel: a priori profile (green line) and profiles retrieved using all spectra (black line), low spectra (red line) and high spectra (blue line). Right panel: differences between the profiles obtained with reduced data sets and the simultaneous retrieval, in the case of low spectra (red line) and in the case of high spectra (blue line).

Download Full Size | PPT Slide | PDF

Fig. 4 Left panel: profile obtained using the simultaneous retrieval of all spectra (black line) and profiles obtained with complete fusion (blue line), weighted mean (red line) and arithmetic mean (green line) of the two profiles retrieved from low and high spectra. The errors of these profiles are shown in the right panel with the same colors in dashed lines. The right panel also shows the differences, with respect to the profile obtained by the simultaneous retrieval, of profiles obtained with complete fusion (blue line), weighted mean (red line) and arithmetic mean (green line).

Download Full Size | PPT Slide | PDF

Fig. 5 Same profiles as reported in Fig. 2 when a systematic error is present in the profiles retrieved from even and odd spectra (respectively increased and decreased by 2%).

Download Full Size | PPT Slide | PDF

Fig. 6 Left panel: reference profile provided by the simultaneous retrieval (black line) and profile obtained from the complete fusion (blue line) of the profiles retrieved from even and odd spectra respectively increased and decreased of 2% when CMs that take into account systematic errors are used. Right panel: differences between the profiles reported in the left panel compared with their errors.

Download Full Size | PPT Slide | PDF

Tables (2)

Table 1 NDOF of the profiles reported in Figs. 1 and 2.

View Table | View all tables in this article

Table 2 NDOF of the profiles reported in Figs. 3 and 4.

View Table | View all tables in this article

Equations (22)

Equations on this page are rendered with MathJax. Learn more.

{\hat{x}}_{i} = x_{a i} + A_{i} (x_{t r u e} - x_{a i}) + σ_{i},

{\hat{x}}_{i} - (I - A_{i}) x_{a i} = A_{i} x_{t r u e} + σ_{i},

α_{i} = {\hat{x}}_{i} - (I - A_{i}) x_{a i},

c (x) = \sum_{i = 1}^{N} {(α_{i} - A_{i} x)}^{T} S_{i}^{- 1} (α_{i} - A_{i} x) + {(x - x_{a})}^{T} S_{a}^{- 1} (x - x_{a}),

x_{f} = {(\sum_{i = 1}^{N} A_{i}^{T} S_{i}^{- 1} A_{i} + S_{a}^{- 1})}^{- 1} (\sum_{i = 1}^{N} A_{i}^{T} S_{i}^{- 1} α_{i} + S_{a}^{- 1} x_{a}) .

S_{f} = {(\sum_{i = 1}^{N} A_{i}^{T} S_{i}^{- 1} A_{i} + S_{a}^{- 1})}^{- 1} \sum_{i = 1}^{N} A_{i}^{T} S_{i}^{- 1} A_{i} {(\sum_{i = 1}^{N} A_{i}^{T} S_{i}^{- 1} A_{i} + S_{a}^{- 1})}^{- 1}

A_{f} = {(\sum_{i = 1}^{N} A_{i}^{T} S_{i}^{- 1} A_{i} + S_{a}^{- 1})}^{- 1} \sum_{i = 1}^{N} A_{i}^{T} S_{i}^{- 1} A_{i} .

y = F (x_{t r u e}) + ε,

χ^{2} (x) = {(y - F (x))}^{T} S_{y}^{- 1} (y - F (x))

χ^{2} (x) = {(F (x_{t r u e}) - F (x) + ε)}^{T} S_{y}^{- 1} (F (x_{t r u e}) - F (x) + ε) .

F (x_{t r u e}) - F (x) = K (x_{t r u e} - x),

χ^{2} (x) = {(x_{t r u e} - x)}^{T} K^{T} S_{y}^{- 1} K (x_{t r u e} - x) + 2 ε^{T} S_{y}^{- 1} K (x_{t r u e} - x) + ε^{T} S_{y}^{- 1} ε .

σ = {(K^{T} S_{y}^{- 1} K + S_{a}^{- 1})}^{- 1} K^{T} S_{y}^{- 1} ε,

S = {(K^{T} S_{y}^{- 1} K + S_{a}^{- 1})}^{- 1} K^{T} S_{y}^{- 1} K {(K^{T} S_{y}^{- 1} K + S_{a}^{- 1})}^{- 1} .

A = {(K^{T} S_{y}^{- 1} K + S_{a}^{- 1})}^{- 1} K^{T} S_{y}^{- 1} K .

ε^{T} S_{y}^{- 1} K = σ^{T} S^{- 1} A

K^{T} S_{y}^{- 1} K = A^{T} S^{- 1} A .

χ^{2} (x) = {(x_{t r u e} - x)}^{T} A^{T} S^{- 1} A (x_{t r u e} - x) + 2 σ^{T} S^{- 1} A (x_{t r u e} - x) + ε^{T} S_{y}^{- 1} ε .

α = A x_{t r u e} + σ,

χ^{2} (x) = {(α - A x)}^{T} S^{- 1} (α - A x) - σ^{T} S^{- 1} σ + ε^{T} S_{y}^{- 1} ε .

g (x) = \sum_{i = 1}^{N} {(y_{i} - F_{i} (x))}^{T} S_{y i}^{- 1} (y_{i} - F_{i} (x)) + {(x - x_{a})}^{T} S_{a}^{- 1} (x - x_{a}),

\begin{array}{l} g (x) = \sum_{i = 1}^{N} {(α_{i} - A_{i} x)}^{T} S_{i}^{- 1} (α_{i} - A_{i} x) + {(x - x_{a})}^{T} S_{a}^{- 1} (x - x_{a}) \\ \begin{matrix}  \end{matrix} - \sum_{i = 1}^{N} σ_{i}^{T} S_{i}^{- 1} σ_{i} + \sum_{i = 1}^{N} ε_{i}^{T} S_{y i}^{- 1} ε_{i} . \end{array}

Abstract

References

2014 (2)

2013 (3)

2012 (3)

2011 (1)

2010 (3)

2009 (2)

2008 (1)

2007 (2)

2006 (2)

2005 (2)

2002 (1)

2000 (1)

1988 (1)

1935 (1)

Abrams, M. C.

Aires, F.

Attié, J.-L.

Aznay, O.

Belotti, C.

Bernardo, F.

Bernath, P. F.

Bingham, G.

Birk, M.

Blom, C.

Boone, C. D.

Boyles, M. A.

Burgess, A.

Butler, M.

Camy-Peyret, C.

Carleer, M.

Carli, B.

Carlotti, M.

Carminati, F.

Ceccherini, S.

Chandra, K. M.

Chavez, M. C.

Chen, G. S.

Chipperfield, M. P.

Chudasama, B. V.

Clarmann, T.

Clerbaux, C.

Cofield, R. E.

Coheur, P.-F.

Colin, R.

Cortesi, U.

Cuddy, D. T.

De Mazière, M.

DeCola, P.

Dehn, A.

Del Bianco, S.

Delbouille, L.

Dinelli, B. M.

Dodge, R.

Drummond, J. R.

Dudhia, A.

Dufour, D.

Duncan, B.

Ehhalt, D.

El Amraoui, L.

Endemann, M.

Evans, W. F. J.

Fast, H.

Filipiak, M. J.

Fischer, H.

Fisher, R. A.

Flaud, J. M.

Flaud, J.-M.

Flower, D. A.

Froidevaux, L.

Fuller, R. A.

Funke, B.

Fussen, D.

Gessner, R.

Gilbert, K.

Girard, M. A.

Greenhough, J.

Harwood, R. S.

Hauglustaine, D.