I. Introduction
It is well-known that orthogonal frequency division multiplexing (OFDM) has been adopted in various wireless communication standards. However, it suffers from high peak-to-average power ratio (PAPR). Therefore, many methods have been proposed to reduce the PAPR of OFDM signals [1]. For example, one promising scheme is the partial transmit sequence (PTS) method [2]–[5]. However, for the traditional PTS (T-PTS) method, the communication system has to reserve some bits for the transmission of the phase rotation factors as side information (SI), resulting in a decrease in the data rate. Note that, SI only represents the information about the phase rotation factors in this letter. Commonly, it is hard to correctly recover the SI at the receiver, which may largely increase the bit error rate (BER). When extra bits are employed to protect the SI for being correctly submitted, the total data rate is further degraded.