Imaging of behind the wall targets using wideband beamforming with compressive sensing

Through-the-wall radar imaging (TWRI) is a versatile application which demands the collection and processing a large number of data, both along the spatial and frequency dimensions. Compressive sensing (CS) is an attractive approach for reducing the number of data samples, without a significant degradation of the original image that is generated using the full array aperture and frequency band. In this paper, we apply CS technique to TWRI using well known Fourier-like matrices. The proposed method applies CS independently to the data samples of the radar returns of each antenna location. It then incorporates the results into the delay-and-sum beam-forming to provide a through-the-wall radar image. Simulation results show that the proposed method can provide a high-quality radar image using less than 20% of the data samples.