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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MDPI AG
2013-12-01
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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. |
first_indexed | 2024-12-13T10:38:56Z |
format | Article |
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institution | Directory Open Access Journal |
issn | 2072-4292 |
language | English |
last_indexed | 2024-12-13T10:38:56Z |
publishDate | 2013-12-01 |
publisher | MDPI AG |
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series | Remote Sensing |
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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