This chapter examines the theory of ultrawideband pulse signal backscattering from perfect electrically conducting (PEC) large objects. The analysis considers targets located near the boundary of uniform half-space with both real and complex electrical parameters. The approach uses the high frequency (physical optics approach) approximation of impulse (transient) wavefront characteristics to calculate the UWB object response by convolution transformation. The calculation method uses a developed field integral representations and the high-frequency approximation of a (PEC) object pulse characteristic in a general bistatic case for oblique incidence. This also examines the ultrawideband signal scattering problem on the half-space, representing layered-uniform medium with arbitrary layers of complex permeabilities. These analytical methods have many potential applications for estimating UWB signal responses from large targets.