Through the wall imaging with Compressive Sensing and effects of unknown parameters to the performance

Compressive Sensing (CS) is a very useful algorithm that is used in Ground Penetrating Radar (GPR) or through the wall imaging (TWI). CS generates high resolution images by decreasing the required measurement number. Although there are several recent studies about TWI with CS, they assume that targets are point like positioned at only discrete grid locations and wall thickness and its dielectric constant are perfectly is known. However, in real applications, it is not possible to know the exact target positions or estimate the wall parameters definitely. This work details the theory for CS based TWI and analyzes the imaging ability of CS. In addition, in this work, the effect of errors in unknown parameters on the imaging performance is analyzed and possible solutions are discussed.