Inflated Rayleigh Distribution for SAR Imagery Modeling

Abstract

Synthetic aperture radars (SAR) data plays an important role in remote sensing applications. It is common knowledge that SAR image amplitude pixels can be approximately modeled by the Rayleigh distribution. However, this model is continuous and does not accommodate points with non-zero probability, such as a null pixel amplitude value. Thus, in this paper, we propose an infated Rayleigh distribution for SAR image modeling that is based on a mixed continuous-discrete distribution and can be used to ft signals with observed values on [0, ∞). The maximum likelihood approach is considered to estimate the parameters of the proposed distribution. An empirical experiment with a SAR image is also presented and discussed.