Robust Distributed-target-based Calibration Method for Polarimetric SAR Using Spherically Truncated Covariance Matrix
Zhang Jingjing①②③ Hong Wen*①②③ Yin Qiang④
①(Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China) ②(National Key Laboratory of Science and Technology on Microwave Imaging, Beijing 100190, China) ③(University of Chinese Academy of Sciences, Beijing 100049, China) ④(Beijing University of Chemical Technology, Beijing 10029, China)
Conventional distributed-target-based polarimetric calibration algorithms estimate polarimetric distortions by assuming that the measured spatially averaged covariance matrix takes a specific form.However, when the underlying surface contains targets that do not satisfy the assumptions employed by those algorithms, the averaged covariance matrix may deviate from the desired form.As a result, poor estimates of distortion parameters may yield.It is known that spherically truncated covariance matrix is robust to outliers.Thus, we introduce it to the polarimetric SAR calibration routine.Experiment results on the airborne SAR data confirm that this method can effectively reduce the uncertainty of distortion estimates, hence improve the robustness of the calibration.
van Zyl J J.Calibration of polarimetric radar images using only image parameters and trihedral corner reflector responses[J].IEEE Transactions on Geoscience and Remote Sensing,1990,28(3):337-348.
[2]
Freeman A,van Zyl J J,Klein J D,et al..Calibration of Stokes and scattering matrix format polarimetric SAR data[J].IEEE Transactions on Geoscience and Remote Sensing,1992,30(3):531-539.
[3]
Klein J D.Calibration of complex polarimetric SAR imagery using backscatter correlations[J].IEEE Transactions on Aerospace and Electronic Systems,1992,28(1):183-194.
[4]
Quegan S.A unified algorithm for phase and cross-talk calibration of polarimetric data-theory and observations[J].IEEE Transactions on Geoscience and Remote Sensing,1994,32(1):89-99.
[5]
Ainsworth T L,Ferro-Famil L,and Lee J S.Orientation angle preserving a posteriori polarimetric SAR calibration[J].IEEE Transactions on Geoscience and Remote Sensing,2006,44(4):994-1003.
[6]
Zhang H,Lu W,Zhang B,et al..Improvement of polarimetric SAR calibration based on the ainsworth algorithm for Chinese airborne PolSAR data[J].IEEE Geoscience and Remote Sensing Letters,2013,10(4):898-902.
[7]
van Zyl J J.Synthetic Aperture Radar Polarimetry[M].John Wiley&Sons,2011,Ch.4.
[8]
Ulaby F T and Elachi C.Radar Polarimetry for Geoscience Applications[M].Norwood,MA:Artech House,Inc.,1990.
[9]
Kimura H,Mizuno T,Papathanassiou K P,et al..Improvement of polarimetric SAR calibration based on the Quegan algorithm[C].2004 IEEE International Geoscience and Remote Sensing Symposium,IGARSS'04,Anchorage,AK,USA,2004,1:187.
[10]
Palombi F,Toti S,and Filippin R.Numerical reconstruction of the covariance matrix of a spherically truncated multinormal distribution[J].ArXiv e-prints,2012.
[11]
Goodman N R.Statistical analysis based on a certain multivariate complex Gaussian distribution (An Introduction)[J].Annals of Mathematics and Statistics,1963:152-177.
[12]
van Zyl J J.Application of Cloude's target decomposition theorem to polarimetric imaging radar data[C].Proceedings of SPIE Radar Polarimetry,San Diego,CA,USA,1992.
[13]
Zhang J J and Hong W.Bootstrap resampling for distributed-target-based polarimetric calibration and validation without ground truth[C].Presented at the CEOS SAR CAL/VAL Workshop,Tokyo,Japan,2016.
[14]
Xing S Q,Dai D H,Liu J,et al..Comment on "orientation angle preserving A Posteriori polarimetric SAR calibration"[J]. IEEE Transactions on Geoscience and Remote Sensing,2012,50(6):2417-2419.