In this paper, a peak-to-average power ratio (PAPR) reduction scheme without side information (SI) is propossed. Cyclic-selective mapping (cyclic-SLM) has been applied to reduce the PAPR of a transmit orthogonal frequency division multiplexing (OFDM) signal. The cyclic-SLM generates a signal candidate by combining an original signal and its cyclic shifted signal. The Cyclic SLM requires side information regarding the cyclic shift to recover the signal while it will reduce the throughput of a wireless OFDM system. The propossed scheme applies delayed correlation based estimation to omit the transmision of the SI. In the receiver side, the amount of the cyclic shift is estimated with exploiting the correlation between a guard interval sequence and a received signal. Numerical results show that the cyclic-SLM with the delayed correlation (DC) provides significant PAPR reduction while it realizes the accuracy of the shift estimation close to 100% at E-b/N-0 of 8 dB. It also achieves the PAPR that is equivalent to the conventional SLM and the bit error rate degradation is slightly different from that with perfect shift estimation.