In this paper, behavior of dipole arrays for Ultra-Wideband (UWB) signals is investigated using an approach in the frequency domain. Energy formulas and correlation coefficient expressions are derived for an array of thin dipoles at the transmitting side and one dipole at the receiving side. Beam-scanning characteristics of UWB dipole arrays are also investigated in the same manner. Different element lengths are used in the array to improve the detection and beam-scanning capabilities. Derived frequency domain expressions can easily be evaluated numerically, allowing us to obtain reasonably accurate results. This approach which is an alternative to numerical methods in time domain serves as a different viewpoint and will be a significant step to make progress in UWB antenna design.