A system and method for processing received transmission signal(s) adapted to be used in high rate communication systems without impairing the received signal energy and without additional expensive components. The system and method are adapted to transmission system(s) having at the receiver-side a compound system of a feed-forward equalizer (FFE) and a subsequent decision feedback equalizer (DFE). A feed forward equalization and/or a decision feedback equalization is performed on the received high rate signal by deriving adaptation information from the equalized signal after a signal decision is performed for adjusting all intended feed forward equalization and/or decision feedback equalization coefficients and/or table entries in dependence on said information.