Digital Video Broadcasting for Handheld devices (DVB-H) is a technical specification for bringing broadcast services to handheld receivers. It will be possible to watch TV mobile devices such as mobile phones. However, since the typical size of a mobile phone is small compared to the wavelength of the transmitted DVB-H signals, designing the internal antenna is very challenging. In this Master Thesis we focused our attention on internal tuneable antennas that we simulated using FDTD technique. We investigated the previous work done on DVB-H antennas as a starting point. It appeared that the use of matching circuits was necessary to cover the whole band of interest to have a good trade-off between the antenna size and its performances. However, simple matching techniques such as L networks were not efficient enough. This is why we focused on broadband matching technique. We used a simple wire as antenna and improved its performances using Chebyshev matching filters. The whole DVB-H band has been covered using less than half the number of previously used matching circuits. This improved consequently the performances while minimizing the total losses.