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A new microstrip fed low profile broadband dielectric resonator antenna is proposed. The antenna is composed of a dielectric resonator, a microstrip fed stepped patch and an intermediate substrate. The stepped patch and the intermediate substrate allow to widen the matching bandwidth. Using a finite integration method (CST Microwave), a parametric investigation was performed for the optimization. To validate the proposed design, a prototype of the optimized antenna was fabricated and measured. The predicted results are compared with the measured data, and a good agreement is achieved. The proposed antenna offers a fractional bandwidth of 50% around the center frequency 10.16 GHz, and relatively stable radiation patterns in the matching band.