This document describes the design and simulation of a trapezoidal microstrip patch antenna for ultra-wideband applications from 3-10 GHz. The antenna has a trapezoidal patch connected to a microstrip feedline on an FR4 substrate. A slot is etched in the ground plane to increase the impedance bandwidth. Simulations show the antenna achieves over 107% fractional bandwidth with return loss over 10 dB and VSWR less than 2 across the band. Radiation patterns are omnidirectional in the H-plane and bidirectional in the E-plane. The antenna realizes an average gain of 4.569 dB and is presented as a candidate for UWB applications.