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A miniaturised coplanar waveguide-fed ultra-wideband (UWB) antenna is presented here. The wideband operation is obtained through an optimised curvature of the radiating element. The input impedance of the antenna is matched using an elliptically tapered coplanar waveguide line. A high-band rejection characteristic at wireless local area network frequencies is achieved by inserting an omega-shaped slot on the antenna surface. The frequency domain dispersion characteristic is studied by means of the antenna transfer function both numerically and experimentally. Time domain characteristic of the antenna is investigated in detail for both UWB single-band and multiband schemes. In order to efficiently characterise the antenna system for an arbitrary pulse source excitation, the pole/residue model of the antenna system transfer function is presented using the matrix-pencil method.