Error analysis for the lidar backward inversion algorithm

Here we depart from the inhomogeneous solution of a lidar equation using the backward inversion algorithm that is nowadays generally referred to as the Klett method. In particular, we develop an error sensitivity study that relates errors in the user-input parameters boundary extinction and exponent...

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Detalles Bibliográficos
Autores: Rocadenbosch Burillo, Francisco|||0000-0001-8614-4408, Comerón Tejero, Adolfo|||0000-0001-6886-3679
Tipo de recurso: artículo
Fecha de publicación:1999
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/1521
Acceso en línea:https://hdl.handle.net/2117/1521
Access Level:acceso abierto
Palabra clave:Optical radar
Meteorological optics
Algorithms
Geophysical signal processing
Inverse problems
Meteorological radar
Optical information processing
Radar signal processing
Remote sensing by laser beam
Lidar backward inversion algorithm
Error analysis
Error sensitivity
User-input parameters boundary extinction
Exponential term
Extinction-to-backscatter relationship
Optical depths
Range-dependent behavior
Optical thickness
Error span
Calibration
Error bound
Atmospheric scenes
Radar òptic
Òptica meteorològica
Algorismes
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Teledetecció
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repository_id_str
spelling Error analysis for the lidar backward inversion algorithmRocadenbosch Burillo, Francisco|||0000-0001-8614-4408Comerón Tejero, Adolfo|||0000-0001-6886-3679Optical radarMeteorological opticsAlgorithmsGeophysical signal processingInverse problemsMeteorological radarOptical information processingOptical radarRadar signal processingRemote sensing by laser beamLidar backward inversion algorithmError analysisError sensitivityUser-input parameters boundary extinctionExponential termExtinction-to-backscatter relationshipOptical depthsRange-dependent behaviorOptical thicknessError spanCalibrationError boundAtmospheric scenesRadar òpticÒptica meteorològicaAlgorismesÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::TeledeteccióHere we depart from the inhomogeneous solution of a lidar equation using the backward inversion algorithm that is nowadays generally referred to as the Klett method. In particular, we develop an error sensitivity study that relates errors in the user-input parameters boundary extinction and exponential term in the extinction-to-backscatter relationship to errors in the inverted extinction profile. The validity of the analysis presented is limited only by the validity of application of the inversion algorithm itself, its numerical performance having been tested for optical depths in the 0.01–10 range. Toward this end, we focus on an introductory background about how uncertainties in these two parameters can apply to a family of inverted extinction profiles rather than a single profile and on its range-dependent behavior as a function of the optical thickness of the lidar inversion range. Next, we performed a mathematical study to derive the error span of the inverted extinction profile that is due to uncertainties in the above-mentioned user calibration parameters. This takes the form of upper and lower range-dependent error bounds. Finally, appropriate inversion plots are presented as application examples of this study to a parameterized set of atmospheric scenes inverted from both synthesized elastic-backscatter lidar signals and a live signal.Peer ReviewedOPTICAL SOC AMER19991999-04-3020082008-01-23journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/1521reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/15212026-05-27T15:37:01Z
dc.title.none.fl_str_mv Error analysis for the lidar backward inversion algorithm
title Error analysis for the lidar backward inversion algorithm
spellingShingle Error analysis for the lidar backward inversion algorithm
Rocadenbosch Burillo, Francisco|||0000-0001-8614-4408
Optical radar
Meteorological optics
Algorithms
Geophysical signal processing
Inverse problems
Meteorological radar
Optical information processing
Optical radar
Radar signal processing
Remote sensing by laser beam
Lidar backward inversion algorithm
Error analysis
Error sensitivity
User-input parameters boundary extinction
Exponential term
Extinction-to-backscatter relationship
Optical depths
Range-dependent behavior
Optical thickness
Error span
Calibration
Error bound
Atmospheric scenes
Radar òptic
Òptica meteorològica
Algorismes
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Teledetecció
title_short Error analysis for the lidar backward inversion algorithm
title_full Error analysis for the lidar backward inversion algorithm
title_fullStr Error analysis for the lidar backward inversion algorithm
title_full_unstemmed Error analysis for the lidar backward inversion algorithm
title_sort Error analysis for the lidar backward inversion algorithm
dc.creator.none.fl_str_mv Rocadenbosch Burillo, Francisco|||0000-0001-8614-4408
Comerón Tejero, Adolfo|||0000-0001-6886-3679
author Rocadenbosch Burillo, Francisco|||0000-0001-8614-4408
author_facet Rocadenbosch Burillo, Francisco|||0000-0001-8614-4408
Comerón Tejero, Adolfo|||0000-0001-6886-3679
author_role author
author2 Comerón Tejero, Adolfo|||0000-0001-6886-3679
author2_role author
dc.subject.none.fl_str_mv Optical radar
Meteorological optics
Algorithms
Geophysical signal processing
Inverse problems
Meteorological radar
Optical information processing
Optical radar
Radar signal processing
Remote sensing by laser beam
Lidar backward inversion algorithm
Error analysis
Error sensitivity
User-input parameters boundary extinction
Exponential term
Extinction-to-backscatter relationship
Optical depths
Range-dependent behavior
Optical thickness
Error span
Calibration
Error bound
Atmospheric scenes
Radar òptic
Òptica meteorològica
Algorismes
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Teledetecció
topic Optical radar
Meteorological optics
Algorithms
Geophysical signal processing
Inverse problems
Meteorological radar
Optical information processing
Optical radar
Radar signal processing
Remote sensing by laser beam
Lidar backward inversion algorithm
Error analysis
Error sensitivity
User-input parameters boundary extinction
Exponential term
Extinction-to-backscatter relationship
Optical depths
Range-dependent behavior
Optical thickness
Error span
Calibration
Error bound
Atmospheric scenes
Radar òptic
Òptica meteorològica
Algorismes
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Teledetecció
description Here we depart from the inhomogeneous solution of a lidar equation using the backward inversion algorithm that is nowadays generally referred to as the Klett method. In particular, we develop an error sensitivity study that relates errors in the user-input parameters boundary extinction and exponential term in the extinction-to-backscatter relationship to errors in the inverted extinction profile. The validity of the analysis presented is limited only by the validity of application of the inversion algorithm itself, its numerical performance having been tested for optical depths in the 0.01–10 range. Toward this end, we focus on an introductory background about how uncertainties in these two parameters can apply to a family of inverted extinction profiles rather than a single profile and on its range-dependent behavior as a function of the optical thickness of the lidar inversion range. Next, we performed a mathematical study to derive the error span of the inverted extinction profile that is due to uncertainties in the above-mentioned user calibration parameters. This takes the form of upper and lower range-dependent error bounds. Finally, appropriate inversion plots are presented as application examples of this study to a parameterized set of atmospheric scenes inverted from both synthesized elastic-backscatter lidar signals and a live signal.
publishDate 1999
dc.date.none.fl_str_mv 1999
1999-04-30
2008
2008-01-23
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/1521
url https://hdl.handle.net/2117/1521
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv OPTICAL SOC AMER
publisher.none.fl_str_mv OPTICAL SOC AMER
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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