%0 Report
%9 Technical Report
%A Poli, L.
%A Oliveri, G.
%A Viani, F.
%A Massa, A.
%D 2014
%F elediasc12:658
%K Compressive Sensing, Inverse Scattering, Interval Analysis
%T Multi-task Bayesian Compressive Sensing for microwave imaging exploiting the minimum-norm current formulation
%U http://www.eledia.org/students-reports/658/
%X In this report, an innovative three-step contrast-source probabilistic technique is proposed for the reconstruction of image 2D-sparse dielectric profiles. Within the formulation of the inverse scattering problem, such an approach combines (i) a SVD-based step to retrieve the minimum-norm currents, (ii) a probabilistic reformulation of the inverse scattering problem in terms of the real and imaginary parts of the sparse contrast currents (iii) a multi-task BCS strategy for properly correlating the unknown variables (real and imaginary parts of contrast source coefficients). An enhanced version of the multi-task implementation that takes into account the correlations real and imaginary parts of contrast source coefficients related to different views is also investigated through a wide set of numerical experiments.