In Multicarrier faster-than-Nyquist (MFTN) systems, one of the most important problems of MFTN signaling is high peak-to-average power ratio (PAPR). In this paper, partial transmit sequence (PTS) method is adopted to resolve this problem, and we focus on reducing the computational complexity of it. First, the PTS method combined with alternative signal (AS) is introduced to overcome the overlapping structure of MFTN signaling. Then, due to the dominant time-domain samples of MFTN signaling are used, a new metric which can select dominant time-domain samples accurately is proposed. Based on that, two low-complexity PTS methods are proposed. To further reduce the computational complexity, by analyzing the position distribution of sample with peak power, part of the samples are removed from the procedure of calculating metric for selecting dominant time-domain samples. Simulation results confirm that the proposed low-complexity PTS methods can effectively reduce computational complexity without degrading the PAPR reduction performance. INDEX TERMS Multicarrier faster-than-Nyquist (MFTN), peak-to-average power ratio (PAPR), partial transmit sequence (PTS), dominant time-domain samples. AIJUN LIU received the B.S. degree in microwave communications and the M.S. and Ph.D. degrees in communications engineering and information systems from the