Through-the-Wall Radar Imaging using compressive sensing along temporal frequency domain

There are increasing demands on Through-the-Wall Radar Imaging (TWRI) systems to deliver high resolution images in both range and cross range. This requires using wideband signals and large array apertures, respectively. Wideband signals are typically implemented by transmitting a series of the narrowband signals. As such, the TWRI system operation involves transmitting and receiving multiple step-frequencies at each antenna location in either a physical or a synthetic aperture radar. Compressive sensing (CS) is an effective approach for decreasing the number of samples and, subsequently, reducing the data acquisition and post-processing time. In this paper, we propose a TWRI scheme based on CS in which a sizable reduction in the number of samples along the frequency axis is achieved without significant degradation in the image. The proposed approach applies the well-known Fourier-like measurement matrix and generates radar images of almost the same desirable quality as the image employing all data samples.