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Statistics of the slope-method estimator
dc.contributor.author | Rocadenbosch Burillo, Francisco |
dc.contributor.author | Comerón Tejero, Adolfo |
dc.contributor.author | Albiol Schnitger, Lorena |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions |
dc.date.accessioned | 2008-01-03T13:12:09Z |
dc.date.available | 2008-01-03T13:12:09Z |
dc.date.created | 1999-10-05 |
dc.date.issued | 2000-11-30 |
dc.identifier.citation | Rocadenbosch, F.; Comerón, A. Statistics of the slope-method estimator. Applied optics, 2000, vol. 39, núm. 33, p. 6049-6057. |
dc.identifier.issn | 0003-6935 |
dc.identifier.uri | http://hdl.handle.net/2117/1455 |
dc.description.abstract | The 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.format.extent | 6049-6057 |
dc.language.iso | eng |
dc.publisher | Optical Society of America |
dc.subject | Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Teledetecció |
dc.subject.lcsh | Optics |
dc.subject.lcsh | Optical radar |
dc.subject.other | Backscatter |
dc.subject.other | Atmospheric optics |
dc.subject.other | Least squares approximations |
dc.subject.other | Light scattering |
dc.subject.other | Statistical analysis |
dc.subject.other | Troposphere |
dc.subject.other | Slope-method estimator statistics |
dc.subject.other | Atmospheric optical parameters |
dc.subject.other | Extinction |
dc.subject.other | Homogeneous atmospheres |
dc.subject.other | Inversion performance |
dc.subject.other | Nonlinear least-squares solution |
dc.subject.other | Exponential-curve fitting |
dc.subject.other | Mean-square-estimation error |
dc.subject.other | Regression operator |
dc.subject.other | Range-compensated lidar return |
dc.subject.other | Far-range tropospheric backscatter lidars |
dc.subject.other | Optimum regression interval length |
dc.title | Statistics of the slope-method estimator |
dc.type | Article |
dc.subject.lemac | Òptica |
dc.subject.lemac | Radar òptic |
dc.contributor.group | Universitat Politècnica de Catalunya. RSLAB - Grup de Recerca en Teledetecció |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 1642449 |
local.personalitzacitacio | true |
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