The cyclic-SLM which implements delayed correlation with a matched filter (DC-MF) is proposed in this paper. The cyclic-SLM reduces a peak-to-average power ratio (PAPR) on an orthogonal frequency divison multiplexing (OFDM) signal. This scheme combines the original OFDM signal and its cyclic shifted ones. However, it needs side information (SI) of the cyclic shifts to recover the original signal that decreases the throughput of a wireless OFDM system. The DC-MF estimates the amount of a shift in a receiver side by multipling a recieved signal with its conjugates of the guard interval (GI) sequence in the time domain. Numerical results obtained through computer simulation show that the cyclic-SLM with the DC-MF significantly reduces the PAPR by around 2.5 dB as compared to the original signal. It also achieves the accuracy rate of the amount of the shift close to 100 % and the BER of 10-4 at Eb/N0 = 8.8 dB that is close to the perfect shift estimation.