Bayesian Compressive Sensing for Rough Surface Reconstruction

We implement a Bayesian compressive sensing (BCS) inversion for rough surface reconstruction under the small perturbation approximation (SPA). SPA is a linear formulation that relates the scattered fields from a rough surface to the rough surface height profile. The reconstructed profiles, using both a synthetic aperture array and a multistatic data matrix acquisition, show satisfactory results that capture the important features of the rough surface profile.