A Bayesian-Compressive-Sampling-Based Inversion for Imaging Sparse Scatterers

In this paper, a new approach based on the Bayesian compressive sampling (BCS) and within the contrast source formulation of an inverse scattering problem is proposed for imaging sparse scatterers. By enforcing a probabilistic hierarchical prior as a sparsity regularization constraint, the problem is solved by means of a fast relevance vector machine. The effectiveness and robustness of the BCS-based approach are assessed through a set of numerical experiments concerned with various scatterer configurations and different noisy conditions.