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The main problem facing adaptive modulation schemes is the signaling delay inherent to such systems. A technique has been proposed by Duel Hallen et al. [1997, 2000] based on long range channel prediction for the narrowband case to alleviate the dramatic effects that this delay might have when static design is used. In this paper, this channel prediction algorithm is extended to the more general case of wideband adaptive modulation systems. The simulation results show significant improvement when using the wideband channel predictor proposed.