Input power assignment of multicarrier systems from given output power levels

A problem associated with signal power control during multicarrier transmission in the presence of an amplifier nonlinearity in a satellite communications channel is analyzed. The problem is to calculate input carrier power levels when output carrier power levels are given. The Fletcher-Powell optimization technique is used for a small number of transmitted carriers, and an example shows the effect of weak signal suppression in the presence of large signal(s) because of nonlinear effects. This technique is applied to three types of transponder nonlinearities to illustrate realistic cases. The Gaussian assumption is used for a large number of carriers. Cases in which one or two input signals are much larger than the other signals are also treated.