In this thesis, we address the problem of spectrum-sharing for wireless communication where multiple users attempt to access a common spectrum resource under mutual interference constraints. Our objective is to evaluate the gains of sharing by investigating different scenarios of spectrum access. Studying the Gaussian Interference Channel with interferences considered as noise, we found a geometrical description and several characteristics of the achievable rate region. Considering a more realistic scenario, with each user having a certain QoS, we found necessary and sufficient condition to be fulfilled for simultaneous communications over the two-user Gaussian Interference Channel. Furthermore, we proposed two lower bounds for a single-primary-user mean rate, depending on the secondary user power control scheme. Specially, we investigated an original power control policy, for a secondary user, under outage performance requirement for both users and partial knowledge of the channel state information. Finally, considering a spectrumsharing with a licensee or primary user and several secondary or cognitive users, we showed the existence of an exclusive region around the primary receiver and we characterized the effects of shadowing and path-loss on this exclusive region (or no-talk zone).
