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As the demand for high bandwidth applications is increasing for wireless communication, the need for wideband antennas increases as well. In this paper, a new small fractal antenna design concept is proposed for ultra wideband (UWB) applications. UWB is a technology that high data rates (480Mb/s) and high bandwidth (0.528 - 7.5 GHz) with good signalling characteristics for wireless personal area networks (WPAN). First band group (BG:1, 3.1 - 4.752 GHz) of the UWB band is simulated and -41.3 dBm/MHz is observed. Fractal antenna geometry shows self-similarity characteristics that operates at multiple wavelengths with similar radiation patterns. Therefore, it is suitable to use for multi band orthagonal frequency division multiplexing (MB-OFDM) based UWB applications. Proposed fractal antenna design is analysed with less than -20dB return loss (S11) over whole UWB bandwidth (3.1 - 10.6 GHz). In addition to this, omni directional radiation pattern is observed for the BG:1 of the UWB band.