Spectral Properties of Homogeneous and Nonhomogeneous Radar Images

On the basis of a two-dimensional, nonstationary white noisemodel for the complex radar backscatter, the spectral properties ofa one-look synthetic-aperture radar (SAR) system is derived. It isshown that the power spectrum of the complex SAR image is sceneindependent. It is also shown that the spectrum of the intensityimage is in general related to the radar scene spectrum by a linearintegral equation, a Fredholm´s integral equation of the third kind.Under simplifying assumptions, a closed-form equation giving theradar scene spectrum as a function of the SAR image spectrum canbe derived.