Author manuscript, published in "5th International Workshop on Science and Applications of SAR Polarimetry and Polarimetric Interferometry (POLinSAR 2011), Friscati: Italy (2011)" A COMPLETE COVERAGE OF LOG-CUMULANT SPACE IN TERMS OF DISTRIBUTIONS FOR POL

Abstract

In this paper, we introduce two new families of probability density functions (PDFs) for the polarimetric target vector and covariance matrix. These families complete the diagram spanned by the second and third-order matrix log-cumulants of the data, and contribute to a holistic theory for statistical modeling of Polarimetric Synthetic Aperture Radar (PolSAR) data based on the Spherically Invariant Random Vector (SIRV) model. The new PDFs result from using a Beta and an Inverse Beta distributed texture variable, and are referred to as the W and M distributions. They are able to model data with low variance but extreme skewness, which proves particularly relevant for speckle filtered data with textural variability. The usefulness of the models is demonstrated with multifrequency real data

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