In this paper, a chaotic radar is designed in which the transmitted signals are formed through modulating the amplitude of ultra wideband (UWB) signals using chaos. It is illustrated that the proposed radar has an excellent resolution performance as well as the capability of sidelobe suppression that is significant in ground penetrating radar (GPR) applications. Additionally, an expectation maximization (EM) based method is proposed to form a non-coherent receiver that conducts blind ground clutter equalization. The identification and equalization performance of the proposed EM receiver shows its robustness in blind equalization while achieving non-blind performance. Numerical electromagnetic simulations using finite difference time domain (FDTD) method under near ground penetrating situations with hidden targets are executed to illustrate the advantages of the proposed technique.