This master's thesis examines ways to improve the maximum voice over IP (VoIP) capacity of the long term evolution (LTE) downlink system. The thesis presents two approaches to rationalize control channel resource usage: 1) allocating control channel bandwidth more efficiently when transmission power remains, and 2) modeling control channel power allocation, the basis for performance simulations. Simulation results show the voice capacity gain from using these control channel resource allocation algorithms is 14-21%, a significant improvement for future LTE implementations.