Analysis of textured PolSAR data by shannon entropy

The Shannon entropy has previously been used in the analysis of polarimetric synthetic aperture radar (PolSAR) data, assuming a complex Gaussian distribution for the scattering vector. According to the maximum entropy characterization theorem, the deviation from Gaussian statistics can be quantified as a reduction of the Shannon entropy. This paper derives the Shannon entropy within the framework of the non- Gaussian, multivariate product model and discusses information theoretical interpretations. An experiment demonstrates the information contents associated with the non-Gaussian entropy component.