In one embodiment, a UWB transmission system includes a pair of crossed linearly polarized antennas, one of which is fed with a UWB signal current, while the second is fed with a temporally orthogonal UWB signal such as the time-derivative of the UWB signal current. The resultant elliptically polarized radiated fields are simultaneously orthogonal in space and orthogonal in time. In another transmission system, a loop and a co-located dipole are fed with the same current to generate signal exhibiting elliptical polarization. When the energies of the transmissions from each antenna are equal, the polarization is circular. Thus a UWB transmitting and receiving system is shown that utilizes signals that are simultaneously spatially orthogonal and temporally orthogonal, and the several combinations of those signal and polarization states encode data for transmission.