Total-Variation Compressive Sensing Based on Hybrid Sequential Experimental Design for Field Reconstruction

Abstract

An innovative approach for the two-dimensional (2D) far-field strength reconstruction from a reduced number of measurements without any prior knowledge on the source antenna is proposed. The developed methodology is based on the effective integration of a sequential experimental design (SED) strategy with a total variation compressive sensing (TV-CS) technique. Thanks to the SED, more samples are generated near highly non-linear regions of the field distribution, resulting in a more accurate reconstruction by means of the TV-CS. A set of numerical experiments is provided to assess the potentialities and features of the proposed method.