Power Allocation for Multibeam Satellite Communications with Nonlinear Impairments

In the context of multibeam satellite uplink communications, we derive a closed-form expression for the sum rate when nonlinearity related to the high power amplifier is taken into account. We then propose a per-user power allocation for maximizing this sum rate. We resort to Signomial Programming. We show significant performance robustness compared to the allocation done by using linear regime only.