A method and apparatus for peak to average power ratio reduction, the method precoding the data symbols using an inverse discrete Fourier transform (‘IDFT’), choosing, at a transmitter, a set of training sequence symbols from a plurality of sets of training sequence symbols, and creating, at the transmitter, an IDFT precoded burst by adding the IDFT of the data symbols and an IDFT of the chosen set of training sequence symbols. Further, a method and receiver, the method receiving a burst, performing a discrete Fourier transform on the burst, choosing a training sequence among a known plurality of training sequences sets, the chosen training sequence resulting in the least noise estimate among the plurality of training sequence sets, and demodulating the burst with the detected pilot burst.