Orthogonal frequency division multiplexing (OFDM) is a spectrally efficient multicarrier modulation technique for high speed data transmission over multipath fading channels, but has low power efficiency. OFDM signals have large crest factors, or peak-to-average power ratios (PARs) which lead to power inefficiency in the RF portion of the transmitter. Selected mapping (SLM) is a distortionless technique that has good PAR reduction capability. However, the biggest limitation of SLM is the need to transmit side information. Disclosed is a technique or algorithm using constant modulus (i.e., phase shift keying, PSK) inputs that implements SLM without having to transmit any side information and without causing any distortion.