1. Backscatter error bounds for the elastic lidar two-component inversion algorithm
- Author
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Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya. RSLAB - Grup de Recerca en Teledetecció, Rocadenbosch Burillo, Francisco, Frasier, S., Kumar, Dhiraj, Lange Vega, Diego, Gregorio López, Eduard, Sicard, Michaël, Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions, Universitat Politècnica de Catalunya. RSLAB - Grup de Recerca en Teledetecció, Rocadenbosch Burillo, Francisco, Frasier, S., Kumar, Dhiraj, Lange Vega, Diego, Gregorio López, Eduard, and Sicard, Michaël
- Abstract
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., Peer Reviewed, Postprint (published version)
- Published
- 2012