A multi-carrier communication system, comprising: a plurality of communication signal sources each providing a band limited communication signal (V 1,1, V 1,2, V 2,1, V 2,2,..., V M,1, V M,2); a plurality of frequency converters for offsetting the frequency of the plural band limited communication signals (V 1,1, V 1,2, V 2,1, V 2,2,..., V M,1, V M,2); a first combiner for combining the plural frequency offset band limited communication signals to form a band limited multi-carrier communication signal; and a peak reduction unit coupled to receive said band limited multi-carrier communication signal and provide a band limited peak reduced multi-carrier output signal (S') hard limited to a signal peak limit value, the peak reduction unit comprising: a peak reduction calculation circuit (140, 150, 180, 190) for selecting, as a peak reduction correction signal, either a peak reduction correction signal or a zero value based on whether the magnitude of the multi-carrier communication signal exceeds the signal peak limit value, wherein the peak reduction correction signal represents the difference between the multi-carrier communication signal and band limited peak reduced multi-carrier output signal (S'); a plurality of correction filters for filtering the peak reduction correction signal and providing a plurality of band limited peak reduction correction signals; and a second combiner (172,130) for combining the delayed band limited multi-carrier communication signal and said plurality of band limited peak reduction correction signals to provide a peak reduced multi-carrier output signal (S') band limited in plural bands. a plurality of communication signal sources each providing a band limited communication signal (V 1,1, V 1,2, V 2,1, V 2,2,..., V M,1, V M,2); a plurality of frequency converters for offsetting the frequency of the plural band limited communication signals (V 1,1, V 1,2, V 2,1, V 2,2,..., V M,1, V M,2); a first combiner for combining the plural frequency offset band limited communication signals to form a band limited multi-carrier communication signal; and a peak reduction unit coupled to receive said band limited multi-carrier communication signal and provide a band limited peak reduced multi-carrier output signal (S') hard limited to a signal peak limit value, the peak reduction unit comprising: a peak reduction calculation circuit (140, 150, 180, 190) for selecting, as a peak reduction correction signal, either a peak reduction correction signal or a zero value based on whether the magnitude of the multi-carrier communication signal exceeds the signal peak limit value, wherein the peak reduction correction signal represents the difference between the multi-carrier communication signal and band limited peak reduced multi-carrier output signal (S'); a plurality of correction filters for filtering the peak reduction correction signal and providing a plurality of band limited peak reduction correction signals; and a second combiner (172,130) for combining the delayed band limited multi-carrier communication signal and said plurality of band limited peak reduction correction signals to provide a peak reduced multi-carrier output signal (S') band limited in plural bands. a peak reduction calculation circuit (140, 150, 180, 190) for selecting, as a peak reduction correction signal, either a peak reduction correction signal or a zero value based on whether the magnitude of the multi-carrier communication signal exceeds the signal peak limit value, wherein the peak reduction correction signal represents the difference between the multi-carrier communication signal and band limited peak reduced multi-carrier output signal (S'); a plurality of correction filters for filtering the peak reduction correction signal and providing a plurality of band limited peak reduction correction signals; and a second combiner (172,130) for combining the delayed band limited multi-carrier communication signal and said plurality of band limited peak reduction correction signals to provide a peak reduced multi-carrier output signal (S') band limited in plural bands.