A method for peak power reduction on a plurality of orthogonal frequency divisional multiplexing (OFDM) signals in a communications system, comprising; iteratively performing frequency domain processing of (FIG. 1) at least one OFDM signal (S 01...S 0m) carrier to reduce peak power transmissions, wherein the step of iteratively performing frequency domain processing comprises: receiving each of the plurality of OFDM signals in a separate one of a plurality of carrier processing blocks; performing a first error path processing step in each of the separate carrier processing blocks, wherein a determinable phase slope is added to the received input OFDM signal in the frequency domain; converting the phase shifted frequency domain input signal to the time domain, wherein due to the added determinable phase slope the plurality of sampling points will be shifted by a first fractional time amount; combining a plurality of time shifted input signals in a total signal; comparing the power of the total signal to a first peak threshold amount at a respective one of each of the plurality of shifted sampling points, and generating a first error signal equivalent to the amount that the power of the time shifted input signal samples exceeds the first peak threshold amount; receiving the first error signal by a second error path processing step in each of the separate carrier processing blocks, and converting the received first error signal to a frequency domain error signal; applying respective weighting factors to a first group of frequency components of the first error signal that corresponds to a respective carrier processing block frequency band, whereby excess peak power can be distributed to one or more guard-band sub-carriers of the OFDM signals, and/or one or more of the in-band sub-carriers of the OFDM signals; delaying each of the plurality of received input OFDM signals in the frequency domain; and subtracting the respective weighted carrier processing block frequency band from the delayed received input OFDM signal to generate a first frequency domain peak power reduced input signal for each carrier processing block, that is then input to a next iteration processing stage of the respective carrier processing blocks, wherein in each of a subsequent one of the iteration stages of each of the plurality of carrier processing blocks, the determinable phase slope changes by a known amount, such that additional peak values of the respective received input OFDM signals can be determined; receiving each of the plurality of OFDM signals in a separate one of a plurality of carrier processing blocks; performing a first error path processing step in each of the separate carrier processing blocks, wherein a determinable phase slope is added to the received input OFDM signal in the frequency domain; converting the phase shifted frequency domain input signal to the time domain, wherein due to the added determinable phase slope the plurality of sampling points will be shifted by a first fractional time amount; combining a plurality of time shifted input signals in a total signal; comparing the power of the total signal to a first peak threshold amount at a respective one of each of the plurality of shifted sampling points, and generating a first error signal equivalent to the amount that the power of the time shifted input signal samples exceeds the first peak threshold amount; receiving the first error signal by a second error path processing step in each of the separate carrier processing blocks, and converting the received first error signal to a frequency domain error signal; applying respective weighting factors to a first group of frequency components of the first error signal that corresponds to a respective carrier processing block frequency band, whereby excess peak power can be distributed to one or more guard-band sub-carriers of the OFDM signals, and/or one or more of the in-band sub-carriers of the OFDM signals; delaying each of the plurality of received input OFDM signals in the frequency domain; and subtracting the respective weighted carrier processing block frequency band from the delayed received input OFDM signal to generate a first frequency domain peak power reduced input signal for each carrier processing block, that is then input to a next iteration processing stage of the respective carrier processing blocks, wherein in each of a subsequent one of the iteration stages of each of the plurality of carrier processing blocks, the determinable phase slope changes by a known amount, such that additional peak values of the respective received input OFDM signals can be determined;