This paper describes the simulation, design, realization and experimental test of atapered transmission line for adapting a broadband impulse generator to a radiating antenna, for a frequency range of 50 MHz to 1 GHz. Two different taper geometries are considered and discussed in the analysis: exponential and logarithmic. Two analysis methods are also used: (1) analytical equations obtained by applying the transmission line theory, and (2) numerical simulations in both frequency-and time-domain using Comsol®. It is shown that in general an exponential taper performs better than a logarithmic one, especially at high frequencies. Time domain simulations reveals that for fast transient subnanosecond pulses, both tapers can be used equivalently and the signal does not suffer from any significant distortion while traveling along the tapers. We also show that analytical equations obtained using the transmission line theory are in very good agreement with full-wave simulation results and can be used advantageously in the design of tapers. The paper also presents the mechanical design and the realization of an exponential taper used for the connection of a 50-pulser to a Half Impulse Radiating Antenna (HIRA) having an input impedance Z A = 100 . The realized taper is fully characterized in frequency-domain using a vector analyzer and in time domain using a reflectometer and shown to be performing in agreement with the simulations.