Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 Data

A synthetic aperture radar (SAR) system requires external absolute calibration so that radiometric measurements can be exploited in numerous scientific and commercial applications. Besides estimating a calibration factor, metrological standards also demand the derivation of a respective calibration...

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Main Authors: Björn J. Döring, Kersten Schmidt, Matthias Jirousek, Daniel Rudolf, Jens Reimann, Sebastian Raab, John Walter Antony, Marco Schwerdt
Format: Article
Language:English
Published: MDPI AG 2013-12-01
Series:Remote Sensing
Subjects:
Online Access:http://www.mdpi.com/2072-4292/5/12/6667
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author Björn J. Döring
Kersten Schmidt
Matthias Jirousek
Daniel Rudolf
Jens Reimann
Sebastian Raab
John Walter Antony
Marco Schwerdt
author_facet Björn J. Döring
Kersten Schmidt
Matthias Jirousek
Daniel Rudolf
Jens Reimann
Sebastian Raab
John Walter Antony
Marco Schwerdt
author_sort Björn J. Döring
collection DOAJ
description A synthetic aperture radar (SAR) system requires external absolute calibration so that radiometric measurements can be exploited in numerous scientific and commercial applications. Besides estimating a calibration factor, metrological standards also demand the derivation of a respective calibration uncertainty. This uncertainty is currently not systematically determined. Here for the first time it is proposed to use hierarchical modeling and Bayesian statistics as a consistent method for handling and analyzing the hierarchical data typically acquired during external calibration campaigns. Through the use of Markov chain Monte Carlo simulations, a joint posterior probability can be conveniently derived from measurement data despite the necessary grouping of data samples. The applicability of the method is demonstrated through a case study: The radar reflectivity of DLR’s new C-band Kalibri transponder is derived through a series of RADARSAT-2 acquisitions and a comparison with reference point targets (corner reflectors). The systematic derivation of calibration uncertainties is seen as an important step toward traceable radiometric calibration of synthetic aperture radars.
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spelling doaj.art-4caef14a50064a25a10149228f0afdf22022-12-21T23:50:36ZengMDPI AGRemote Sensing2072-42922013-12-015126667669010.3390/rs5126667rs5126667Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 DataBjörn J. Döring0Kersten Schmidt1Matthias Jirousek2Daniel Rudolf3Jens Reimann4Sebastian Raab5John Walter Antony6Marco Schwerdt7Microwaves and Radar Institute, German Aerospace Center (DLR), Oberpfaffenhofen,D-82234 Weßling, GermanyMicrowaves and Radar Institute, German Aerospace Center (DLR), Oberpfaffenhofen,D-82234 Weßling, GermanyMicrowaves and Radar Institute, German Aerospace Center (DLR), Oberpfaffenhofen,D-82234 Weßling, GermanyMicrowaves and Radar Institute, German Aerospace Center (DLR), Oberpfaffenhofen,D-82234 Weßling, GermanyMicrowaves and Radar Institute, German Aerospace Center (DLR), Oberpfaffenhofen,D-82234 Weßling, GermanyMicrowaves and Radar Institute, German Aerospace Center (DLR), Oberpfaffenhofen,D-82234 Weßling, GermanyMicrowaves and Radar Institute, German Aerospace Center (DLR), Oberpfaffenhofen,D-82234 Weßling, GermanyMicrowaves and Radar Institute, German Aerospace Center (DLR), Oberpfaffenhofen,D-82234 Weßling, GermanyA synthetic aperture radar (SAR) system requires external absolute calibration so that radiometric measurements can be exploited in numerous scientific and commercial applications. Besides estimating a calibration factor, metrological standards also demand the derivation of a respective calibration uncertainty. This uncertainty is currently not systematically determined. Here for the first time it is proposed to use hierarchical modeling and Bayesian statistics as a consistent method for handling and analyzing the hierarchical data typically acquired during external calibration campaigns. Through the use of Markov chain Monte Carlo simulations, a joint posterior probability can be conveniently derived from measurement data despite the necessary grouping of data samples. The applicability of the method is demonstrated through a case study: The radar reflectivity of DLR’s new C-band Kalibri transponder is derived through a series of RADARSAT-2 acquisitions and a comparison with reference point targets (corner reflectors). The systematic derivation of calibration uncertainties is seen as an important step toward traceable radiometric calibration of synthetic aperture radars.http://www.mdpi.com/2072-4292/5/12/6667synthetic aperture radarradiometric calibrationexternal calibrationBayesian data analysistransponder
spellingShingle Björn J. Döring
Kersten Schmidt
Matthias Jirousek
Daniel Rudolf
Jens Reimann
Sebastian Raab
John Walter Antony
Marco Schwerdt
Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 Data
Remote Sensing
synthetic aperture radar
radiometric calibration
external calibration
Bayesian data analysis
transponder
title Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 Data
title_full Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 Data
title_fullStr Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 Data
title_full_unstemmed Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 Data
title_short Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 Data
title_sort hierarchical bayesian data analysis in radiometric sar system calibration a case study on transponder calibration with radarsat 2 data
topic synthetic aperture radar
radiometric calibration
external calibration
Bayesian data analysis
transponder
url http://www.mdpi.com/2072-4292/5/12/6667
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