Alternative distributions for the multiplicative model in SAR images

Another class of distributions is proposed to model the terrain backscatter, namely the class of the generalized inverse Gaussian distributions. Besides allowing the explicit calculation of the density of the random variable that models the radar return, these distributions have the remarkable property of having the gamma and other distributions as particular cases. The resulting distributions for complex, multilook intensity and multilook amplitude data are derived assuming the multiplicative model. These new densities yield to a more general model-than the classical one, which is given by the class of K distributions. Several plots are presented, showing the flexibility of these new distributions and its possible use as a model for SAR data