a carrier recovery loop which receives a digital signal after a semi-synchronous detection, detects a phase shift of the digital signal to a predefined phase position, and compensates for a phase of the digital signal by a first compensation value on the basis of the detected phase shift to generate an output signal; and

a feed-forward phase compensation loop which generates an average value of the detected phase shift, and compensates for a phase of a signal output from the carrier recovery loop by a second compensation value on the basis of the averaged phase shift, wherein the carrier recovery loop has a first loop bandwidth with a slow responsivity to the digital signal so that the phase of the digital signal is compensated, and the feed-forward phase compensation loop has a second loop bandwidth with a quick responsivity to the digital signal compared with the carrier recovery loop.