Peak-to-average power ratio (PAPR) of transmit waveform becomes higher when transmit filtering and/or pre-coding are employed. In this paper, we introduce a PAPR reduction scheme called selected mapping without side information transmission (called blind SLM) for both orthogonal frequency division multiplexing (OFDM) and single-carrier (SC) signals. Firstly, we review the proposed blind SLM techniques, considering both single-input single output (SISO) and space-time block coded transmit diversity (STBC-TD). Then, a blind SLM technique for multi-user multiple-input multiple-output (MU-MIMO) transmission with minimum mean-square error (MMSE) filtering and singular value decomposition (SVD), called MMSE-SVD, is introduced. To realize a simple data detection without side-information in MU-MIMO, we recommend that the phase rotation sequence multiplication should be applied to transmit data streams before applying the transmit filtering (called stream-wise SLM). At the receiver, the phase rotation sequence estimation is done for each users data streams after applying the receive filtering. Simulation results confirm that the stream-wise blind SLM for MMSE-SVD can reduce the PAPR of transmit waveforms without degrading bit-error rate (BER).