FDM/OFDM with reduced peak to average power ratio

A method of reducing PAPR in an OFDM transmission, including at the transmitter, pre-adjusting each subcarrier phase by an amount determined by a quadratic function of the subcarrier index and a predetermined factor, and at the receiver, recovering the predetermined factor from a pilot subcarrier and reversing the preadjustments to recover the signal. The factor may be found at the transmitter by a search method.