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A stacked ultra-wideband dielectric resonator antenna of rectangular shape is presented. The antenna is composed of a dielectric resonator and a thin dielectric segment. Both reside above a ground plane, and is excited by a coaxial probe. Unlike in previous designs that have a dielectric resonator of a lower permittivity above one or more thin segments of higher permittivity, the top dielectric resonator in this antenna has a higher permittivity than the lower segment. Theoretical results show that an ultra-wide band 10-dB return loss, from 3.1 GHz to 10.7 GHz, can be achieved.