Using the program of numerical simulation of ultrawideband pulse reflection from dielectric medium with random rough surface, a possibility to detect ideally conducting objects placed near the surface was investigated. Medium parameters corresponded to the cases of the dry and wet sandy ground. Based on the correlation analysis of the reflected objects with orthogonal polarizations, a decision about the presence or absence of an object was made. An ideally conducting rectangular object was buried into the ground with a random rough surface to different depth. A cross-shaped metal object was disposed above the surface.