Unification of compressed imaging techniques in the microwave range and deconvolution strategy

In recent years, several techniques of imaging have emerged based on compressive sensing. Thus, using passive devices able to code and sum the information measured on a radiating aperture, complex UWB beamforming hardwares can be replaced by inverse problems to solve using deconvolution techniques. Two similar compressive techniques have been developed independently, based on a passive multiplexer and on a metamaterial aperture. This paper proposes an unification of these approaches, using a common mathematical formulation and comparing the deconvolution strategy adopted by each research team.