Polarimetric synthetic aperture radar data and the complex wishart distribution

Authors:
Allan Aasbjerg Nielsen;Knut Conradsen;Henning Skriver
Affiliations:
IMM, Informatics and Mathematical Modelling, Technical University of Denmark, Kgs. Lyngby, Denmark;IMM, Informatics and Mathematical Modelling, Technical University of Denmark, Kgs. Lyngby, Denmark;EMI, Section for Electromagnetic Systems, Technical University of Denmark, Kgs. Lyngby, Denmark
Venue:
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Year:
2003

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Abstract

When working with multi-look fully polarimetric synthetic aperture radar (SAR) data an appropriate way of representing the back-scattered signal consists of the so-callad covariance matrix. for each pixel this is a 3×3 Hermifian, positive definite matrix which follows a complex Wishart distribution. Based on this distribution a test statistic for equality of two such matrices and an associated asymptotic probability for obtaining a smaller value of the test statistic are given and applied to segmentation change detection and edge detection in polarimetric SAR data. In a case study EMISAR L-bared data from 17 April 1998 and 20 May 1998 covering agricultural fields near Foulum Denmark, are used.