%0 Journal Article %T Hierarchical Bayesian Data Analysis in Radiometric SAR System Calibration: A Case Study on Transponder Calibration with RADARSAT-2 Data %A Bj£¿rn J. D£¿ring %A Kersten Schmidt %A Matthias Jirousek %A Daniel Rudolf %A Jens Reimann %A Sebastian Raab %A John Walter Antony %A Marco Schwerdt %J Remote Sensing %D 2013 %I MDPI AG %R 10.3390/rs5126667 %X 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. %K synthetic aperture radar %K radiometric calibration %K external calibration %K Bayesian data analysis %K transponder %U http://www.mdpi.com/2072-4292/5/12/6667