In a wireless communication system, a peak to average power ratio (PAPR) may affect the efficiency of a power amplifier. To reduce a PAPR, a transmitting device may utilize a PAPR reduction precoding that changes a received signal without performance impact so the overall transmit PAPR is reduced. The transmitting device constructs a frequency domain (FD) response to the PAPR reduction precoding, estimates a channel to one or more receiving devices, and applies the PAPR reduction precoding to the estimated channel. The transmitting device constructs a multiple input multiple output (MIMO) precoding matrix considering the FD response of the PAPR reduction precoding and applies the MIMO precoding matrix and the PAPR reduction precoding to an FD signal. A receiving device applies the FD response conjugated to a received FD signal from the transmitting device and processes at least a received reference signal based on the PAPR reduction precoder.