Pulse shaping based PAPR reduction for OFDM signals with minimum error probability

The pulse shaping technique is an effective and flexible way for reducing the peak-to-average power ratio (PAPR) of orthogonal frequency division multiplexing (OFDM) signals. However, different pulse shaping waveforms result in different error probabilities of the system. In this paper we derive a condition for deciding if the selected pulse shaping waveforms for reducing the PAPR of OFDM signals can also obtain the minimum probability of errors. The qualified pulse shaping waveform thus can be implemented by using a discrete pulse shaping matrix, and the PAPR of OFDM signals can be made very close to that of single carrier signals at the minimum error probability. Our simulation results showed that the pulse shaping matrix generated by the square root of a raised cosine pulse is one of the optimal solutions.