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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)

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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

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

Simone Ceccherini, Bruno Carli, and Piera Raspollini, "Quality quantifier of indirect measurements," Opt. Express 20, 5151-5167 (2012)

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