System and method embodiments are provided herein for achieving low peak-to-average power ratio (PAPR) signals in multiple-input and multiple-output (MIMO) systems, including Massive MIMO (M-MIMO) systems. The embodiments include two schemes to reduce the PAPR in the transmitted signals. In a first scheme, the signals are precoded, at a BS or UE, to offload a signal from one antenna to another antenna to achieve PAPR reduction. The precoding is done with some penalty in terms of signal gain. In a second scheme, the signal is clipped and the clipped portion is further projected on the MIMO antennas to compensate for the error caused by clipping. Out-of-band radiation is also removed in this scheme.