1. A method for removing distortions in an actual transmitted signal transmitted by a high power amplifier, said actual transmitted signal including bits, said method comprising: providing a model of the high power amplifier that generates a reproduced transmitted signal of the actual transmitted signal; defining a series of Volterra coefficients from the reproduced transmitted signal using a Volterra model; receiving the actual transmitted signal in a receiver; and processing the actual transmitted signal in an equalizer in the receiver to generate a digital signal including the bits, wherein processing the actual transmitted signal in the equalizer includes providing parallel soft interference cancellation of the actual transmitted signal that cancels both linear and non-linear interference for each symbol of interest in the actual transmitted signal, filtering the actual transmitted signal after the interference cancellation using a minimum mean square error filter that employs the Volterra coefficients to provide equalizer coefficients, and using the equalizer coefficients to generate a new extrinsic log-likelihood ratio (LLR) of the bits in the actual transmitted signal.