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Lidar inversion of atmospheric backscatter and extinction-to-backscatter ratios by use of a Kalman filter
Rocadenbosch Burillo, Francisco; Soriano Ortiz, Cecilia; Comerón Tejero, Adolfo; Baldasano Recio, José María
Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. RSLAB - Grup de Recerca en Teledetecció
A first inversion of the backscatter profile and extinction-to-backscatter ratio from pulsed elastic-backscatter lidar returns is treated by means of an extended Kalman filter (EKF). The EKF approach enables one to overcome the intrinsic limitations of standard straightforward nonmemory procedures such as the slope method, exponential curve fitting, and the backward inversion algorithm. Whereas those procedures are inherently not adaptable because independent inversions are performed for each return signal and neither the statistics of the signals nor a priori uncertainties (e.g., boundary calibrations) are taken into account, in the case of the Kalman filter the filter updates itself because it is weighted by the imbalance between the a priori estimates of the optical parameters (i.e., past inversions) and the new estimates based on a minimum-variance criterion, as long as there are different lidar returns. Calibration errors and initialization uncertainties can be assimilated also. The study begins with the formulation of the inversion problem and an appropriate atmospheric stochastic model. Based on extensive simulation and realistic conditions, it is shown that the EKF approach enables one to retrieve the optical parameters as time-range-dependent functions and hence to track the atmospheric evolution; the performance of this approach is limited only by the quality and availability of the a priori information and the accuracy of the atmospheric model used. The study ends with an encouraging practical inversion of a live scene measured at the Nd:YAG elastic-backscatter lidar station at our premises at the Polytechnic University of Catalonia, Barcelona.
Peer Reviewed
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Teledetecció
Optical radar
Meteorological optics
Kalman filtering
Light scattering
Measurement errors
Optical radar
Solid lasers
Spatial filters
Lidar inversion
Atmospheric backscatter
Extinction-to-backscatter ratios
Backscatter profile
Pulsed elastic backscatter lidar returns
Extended Kalman filter
Return signal
A priori uncertainties
Boundary calibrations
Minimum-variance criterion
Calibration errors
Initialization uncertainties
Inversion problem
Atmospheric stochastic model
Time-range-dependent functions
Atmospheric evolution
A priori information
Atmospheric model
Nd:YAG elastic-backscatter lidar station
Radar òptic
Òptica meteorològica
Kalman, Filtratge de

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