Implementations described herein are directed to satellite transmitters and receivers for applying OFDM-like signaling in broadband satellite transmissions. In such systems, one or more data signals may be shaped and composited into a composite data signal at an OFDM-like transmitter for transmission over a satellite channel. The data signals that are carried over the satellite channel by the composited signal may have their own carrier, and each signal may carry multiple OFDM subcarriers. Further implementations are directed to correcting for distortion in satellite communications systems that utilize OFDM-like signaling. This distortion correction may account for the linear and nonlinear distortion introduced by the high power amplifier of a satellite receiving a composite signal, the linear and nonlinear distortion caused by the interaction of the signals in the composite, the linear and nonlinear distortion caused by the interaction between OFDM subcarriers, and/or the linear and nonlinear distortion caused by inter-carrier interference.