Show simple item record

dc.contributor.authorRocadenbosch Burillo, Francisco
dc.contributor.authorComerón Tejero, Adolfo
dc.contributor.authorAlbiol Schnitger, Lorena
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions
dc.identifier.citationRocadenbosch, F.; Comerón, A. Statistics of the slope-method estimator. Applied optics, 2000, vol. 39, núm. 33, p. 6049-6057.
dc.description.abstractThe slope method has customarily been used and is still used for inversion of atmospheric optical parameters, extinction, and backscatter in homogeneous atmospheres from lidar returns. Our aim is to study the underlying statistics of the old slope method and ultimately to compare its inversion performance with that of the present-day nonlinear least-squares solution (the so-called exponential-curve fitting). The contents are twofold: First, an analytical study is conducted to characterize the bias and the mean-square-estimation error of the regression operator, which permits estimation of the optical parameters from the logarithm of the range-compensated lidar return. Second, universal plots for most short- and far-range tropospheric backscatter lidars are presented as a rule of thumb for obtaining the optimum regression interval length that yields unbiased estimates. As a result, the simple graphic basis of the slope method is still maintained, and its inversion performance improves up to that of the present-day computer-oriented exponential-curve fitting, which ends the controversy between these two algorithms.
dc.publisherOptical Society of America
dc.subjectÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Teledetecció
dc.subject.lcshOptical radar
dc.subject.otherAtmospheric optics
dc.subject.otherLeast squares approximations
dc.subject.otherLight scattering
dc.subject.otherStatistical analysis
dc.subject.otherSlope-method estimator statistics
dc.subject.otherAtmospheric optical parameters
dc.subject.otherHomogeneous atmospheres
dc.subject.otherInversion performance
dc.subject.otherNonlinear least-squares solution
dc.subject.otherExponential-curve fitting
dc.subject.otherMean-square-estimation error
dc.subject.otherRegression operator
dc.subject.otherRange-compensated lidar return
dc.subject.otherFar-range tropospheric backscatter lidars
dc.subject.otherOptimum regression interval length
dc.titleStatistics of the slope-method estimator
dc.subject.lemacRadar òptic
dc.contributor.groupUniversitat Politècnica de Catalunya. RSLAB - Grup de Recerca en Teledetecció
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access

Files in this item


This item appears in the following Collection(s)

Show simple item record

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder