Single-carrier (SC) transmission with frequencydomain equalization (FDE) is expected to expand the service area of wireless communication systems by taking advantage of its lower peak-to-average power ratio (PAPR) compared to when using orthogonal frequency division multiplexing (OFDM). In the uplink, the transmit timing difference among the signals from multiple mobile terminals (MTs) becomes significant in a large service area. If the difference in arrival timing among MTs exceeds the cyclic prefix (CP) length, it is difficult to separate the signal of each MT and the transmission quality is severely degraded. In this paper, we propose a novel multiuser detection (MUD) technique that can separate the signals regardless of the difference in the arrival timing between MTs with an acceptable level of calculation complexity. The achievable bit error rate (BER) performance is evaluated by computer simulation in a frequency selective fading channel and the results confirm the effectiveness of the proposed method.