Uplink throughput maximization with combined sum and individual power constraints

Optimal power allocation in cellular uplink systems is used to maximize the average throughput under individual and sum power constraints. In the uplink, the transmit power of the mobiles is limited leading to individual power constraints. Additionally, in order to reduce the inter-cell interference, the sum power is constraint. First, we approximate the individual and sum power constraints by a combined constraint on a suitable l-norm of the power allocation vector. Then, we derive the optimal power allocation for individual and sum power constraints as well as for the combined constraint for the three CSI scenarios with uninformed transmitter, long-term feedback, and perfect CSI. The results and illustrations show that under combined sum and individual power constraints completely different power allocation strategies are optimal than with pure sum or pure individual power constraints.