Compressive Sampling for Scattering Data Collection in Microwave Imaging

OLIVERI, Giacomo and ANSELMI, Nicola and SALUCCI, Marco and POLI, Lorenzo and MASSA, Andrea (2024) Compressive Sampling for Scattering Data Collection in Microwave Imaging. Technical Report. ELEDIA Research Center - University of Trento.

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Abstract

This research focuses on designing microwave imaging data acquisition systems. Initially, the collection of scattering data is framed using Compressive Sampling (CS), a technique in signal processing that allows accurate reconstruction of signals from fewer samples than traditional methods like Nyquist-Shannon. CS leverages the sparsity of signals to reduce the number of measurements required, making data acquisition more efficient. The problem is tackled by developing a novel incoherence-based bound on the Restricted Isometry Constant (RIC) of the observation matrix, which serves as the mathematical model for the acquisition system and incorporates the physical characteristics of microwave imaging. Numerical experiments are performed to evaluate the method’s effectiveness in data acquisition and its impact on CS-based inversion, in comparison to typical Nyquist–Shannon sampling techniques.

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