A pre-coder in a radio transceiver comprises a Discrete Fourier Transform (DFT) spreader that DFT-spreads a block of data symbols to produce DFT-spread data symbols. The spread data symbols are mapped to Orthogonal Frequency Division Multiplexing (OFDM) subcarriers assigned to the radio transceiver for transmission. An OFDM transmitter employs an inverse-DFT to modulate the DFT-spread data symbols onto the OFDM subcarriers to produce a pre-coded OFDM transmission signal. The spreading reduces the OFDM transmission signal's peak to average power.