Backscatter Error Bounds for the Elastic Lidar Two-Component Inversion Algorithm

Total backscatter-coefficient inversion error bounds for the two-component lidar inversion algorithm (so-called Fernald's or Klett-Fernald-Sasano's method) are derived in analytical form in response to the following three error sources: 1) the measurement noise; 2) the user uncertainty in...

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Bibliographic Details
Published in:IEEE transactions on geoscience and remote sensing 2012-11, Vol.50 (11), p.4791-4803
Main Authors: Rocadenbosch, F., Frasier, S., Kumar, D., Lange, D., Gregorio, E., Sicard, M.
Format: Article
Language:English
Subjects:
Aerosols
Applied geophysics
Backscatter
Backscatter coefficient
Calibration
Earth sciences
Earth, ocean, space
Enginyeria de la telecomunicació
Exact sciences and technology
Fernald algorithm
Internal geophysics
inversion
Laser radar
lidar
Radiocomunicació i exploració electromagnètica
Remote sensing
signal processing
Signal to noise ratio
Teledetecció
Àrees temàtiques de la UPC
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Summary:Total backscatter-coefficient inversion error bounds for the two-component lidar inversion algorithm (so-called Fernald's or Klett-Fernald-Sasano's method) are derived in analytical form in response to the following three error sources: 1) the measurement noise; 2) the user uncertainty in the backscatter-coefficient calibration; and 3) the aerosol extinction-to-backscatter ratio. The following two different types of error bounds are presented: 1) approximate error bounds using first-order error propagation and 2) exact error bounds using a total-increment method. Both error bounds are formulated in explicit analytical form, which is of advantage for practical physical sensitivity analysis and computational implementation. A Monte Carlo approach is used to validate the error bounds at 355-, 532-, and 1064-nm wavelengths.
ISSN:0196-2892
1558-0644
DOI:10.1109/TGRS.2012.2194501