Iterative Water-Filling Power and Subcarrier Allocation for Multicarrier Non-Orthogonal Multiple Access Uplink

Novel closed form formulae of iterative optimal power control and allocation, and a criterion for optimal subcarrier allocation, are derived for uplink of multicarrier non-orthogonal multiple access (MC-NOMA) systems. Our new formulae provide intuitive insights on how to optimally allocate subcarriers and power to MC-NOMA (and as a special case, MC-OMA) users. In particular, the novel water-filling power allocation formulae provide a mean to iteratively compute optimal power allocation for a general NOMA cluster size. Convergence of the iterative algorithm and sum rate performance of MC-NOMA system are presented and compared with MC-OMA system.