A novel deterministic measurement matrix for data acquisition reduction in 3D stepped frequency ground penetrating radar imaging

Proposing a measurement matrix is one of the researchers' concerns for compressive sensing-based signal processing. A deterministic measurement matrix with zero entries reduces the long data collecting time. In this paper a deterministic measurement matrix based on priory information about k-space in Ground Penetrating Radar (GPR) using Synthetic Aperture Radar (SAR) is proposed. Algorithm which produces the measurement matrix is described in detail and 3d images using the measurement matrix are shown. Images show that reconstruction can be made by using much less measurement.