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The curve of a planar antenna edge is an important parameter which affects the antenna performances. In this study, we propose a new edge curve, characterized by the binomial function, for designing ultrawideband antenna. The effect on the impedance bandwidth through the change with the different order of the binomial function and the gap width between the antenna and ground plane has been investigated and analyzed. The measurement result shows a good agreement with the simulation. Besides, the radiation patterns are omnidirectional in the H plane across the operating bandwidths.