The evolution of Mobile Internet has led to the growth of bandwidth demanding applications like video streaming and social networking. The required data rates projected for such applications cannot be sustained by current cellular networks. New network architectures like Long Term Evolution (LTE) and LTE Advanced have been carefully engineered and introduced to fulfill such large data rates. The recent introduction of femtocells enabled high data rates and better coverage indoors, without the need for site establishment or upgrading the network infrastructure. Femtocells, however, will potentially suffer from major interference problems due to their expected dense and ad hoc deployment. The main contribution in this thesis is the introduction of a new and a very promising direction in deriving capable and efficient interference mitigation schemes, and comparing this direction to current techniques in the literature. Several works have studied the effect of interference on networks employing femtocells. In this thesis, we also survey such works and provide an overview of the elements considered in mitigating interference. We introduce a new scheme known for its optimality, and use it for frequency assignment in downlink femtocell networks. The algorithm is based on optimization search rather than greedy or heuristic methods. Experimental simulations will be shown to evaluate the proposed scheme against other schemes from the literature. / Thesis (Master, Computing) -- Queen's University, 2012-03-31 02:14:28.549