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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 5 — Feb. 27, 2012
  • pp: 5151–5167

Quality quantifier of indirect measurements

Simone Ceccherini, Bruno Carli, and Piera Raspollini  »View Author Affiliations


Optics Express, Vol. 20, Issue 5, pp. 5151-5167 (2012)
http://dx.doi.org/10.1364/OE.20.005151


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Abstract

A quality quantifier, referred to as measurement quality quantifier (MQQ), is proposed for indirect measurements. It satisfies the property that the MQQ of the data fusion of two or more independent measurements is the sum of the MQQs of the individual measurements and can also be determined in absolute terms for ill-posed problems. It is calculated from the covariance and Jacobian matrices of the observations, but the same result is also obtained using the covariance and averaging kernel matrices of the retrieved quantities. In the case of measurements of a continuous distribution a quantifier that provides the information distribution can be derived from the MQQ. The proposed quantifiers are herewith used for the quality assessment of atmospheric ozone measurements performed by IASI and MIPAS instruments.

© 2012 OSA

OCIS Codes
(000.3860) General : Mathematical methods in physics
(010.1280) Atmospheric and oceanic optics : Atmospheric composition
(100.3190) Image processing : Inverse problems
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(110.3055) Imaging systems : Information theoretical analysis

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: November 23, 2011
Revised Manuscript: January 19, 2012
Manuscript Accepted: January 31, 2012
Published: February 16, 2012

Citation
Simone Ceccherini, Bruno Carli, and Piera Raspollini, "Quality quantifier of indirect measurements," Opt. Express 20, 5151-5167 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-5-5151


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References

  1. C. D. Rodgers, Inverse Methods for Atmospheric Sounding: Theory and Practice, Vol. 2 of Series on Atmospheric, Oceanic and Planetary Physics (World Scientific, 2000).
  2. S. Ceccherini, P. Raspollini, and B. Carli, “Optimal use of the information provided by indirect measurements of atmospheric vertical profiles,” Opt. Express17(7), 4944–4958 (2009). [CrossRef] [PubMed]
  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. Quantum Spectrosc. Radiat.111(3), 507–514 (2010). [CrossRef]
  4. 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]
  5. M. Carlotti and L. Magnani, “Two-dimensional sensitivity analysis of MIPAS observations,” Opt. Express17(7), 5340–5357 (2009). [CrossRef] [PubMed]
  6. C. Clerbaux, A. Boynard, L. Clarisse, M. George, J. Hadji-Lazaro, H. Herbin, D. Hurtmans, M. Pommier, A. Razavi, S. Turquety, C. Wespes, and P.-F. Coheur, “Monitoring of atmospheric composition using the thermal infrared IASI/MetOp sounder,” Atmos. Chem. Phys.9(16), 6041–6054 (2009). [CrossRef]
  7. 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).
  8. R. A. Fisher, “The logic of inductive inference,” J.R. Stat. Soc.98(1), 39–54 (1935). [CrossRef]
  9. S. Ceccherini, B. Carli, E. Pascale, M. Prosperi, P. Raspollini, and B. M. Dinelli, “Comparison of measurements made with two different instruments of the same atmospheric vertical profile,” Appl. Opt.42(32), 6465–6473 (2003). [CrossRef] [PubMed]
  10. 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]
  11. R. E. Kalman, “Algebraic aspects of the generalized inverse of a rectangular matrix,” in Proceedings of Advanced Seminar on Generalized Inverse and Applications, M. Z. Nashed, ed. Academic, San Diego, Calif., 1976, pp. 111–124.
  12. B. Carli, G. Bazzini, E. Castelli, C. Cecchi-Pestellini, S. Del Bianco, B. M. Dinelli, M. Gai, L. Magnani, M. Ridolfi, and L. Santurri, “MARC: a code for the retrieval of atmospheric parameters from millimetre-wave limb measurements,” J. Quantum Spectrosc. Radiat.105(3), 476–491 (2007). [CrossRef]
  13. L. Palchetti, G. Bianchini, B. Carli, U. Cortesi, and S. Del Bianco, “Measurement of the water vapour vertical profile and of the Earth’s outgoing far infrared flux,” Atmos. Chem. Phys.8(11), 2885–2894 (2008). [CrossRef]
  14. G. Bianchini, B. Carli, U. Cortesi, S. Del Bianco, M. Gai, and L. Palchetti, “Test of far infrared atmospheric spectroscopy using wide-band balloon borne measurements of the upwelling radiance,” J. Quantum Spectrosc. Radiat.109(6), 1030–1042 (2008). [CrossRef]
  15. 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]
  16. 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]
  17. S. Ceccherini, “Analytical determination of the regularization parameter in the retrieval of atmospheric vertical profiles,” Opt. Lett.30(19), 2554–2556 (2005). [CrossRef] [PubMed]
  18. 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]
  19. 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]
  20. S. Ceccherini, U. Cortesi, P. T. Verronen, and E. Kyrölä, “Technical Note: Continuity of MIPAS-ENVISAT operational ozone data quality from full- to reduced-spectral-resolution operation,” Atmos. Chem. Phys.8(8), 2201–2212 (2008). [CrossRef]

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