Maximizing the Worst-User’s Capacity for a Multi-User OFDM Uplink Channel

This project considers the challenges in maximizing the worst-user’s rate for a multiple access Gaussian vector channel under power constraints. The multiple access Gaussian vector channel is derived from a multi-user OFDM uplink channel, which has no interference between subchannels. The optimal rate is determined at the maximal equal rate among the users. For a simple treatment, a multi-user scalar channel is considered initially and then a single-user vector channel is considered to show the optimal allocation strategy. For the multi-user vector channel, the solution has yet to be found in this project but one conjectured algorithm is shown.