In order to coherently demodulate an incoming multiphase PSK analog signal irrespective of large frequency deviation, an automatic frequency feedback loop is provided. An analog baseband signal is generated by multiplying the IF analog signal by a local signal and then is converted into the corresponding digital baseband signal. A multiplier multiplies the digital baseband signal by another local signal. The output of the multiplier is further multiplied and then applied to a plurality of single-tuned filters which are arranged in parallel and have tuning frequencies each different from an adjacent frequency by a predetermined frequency interval. Each of the plurality of single-tuned filters generates a signal for use in carrier recovery, a frequency error signal and a correlation coefficient. Subsequently, one of the plurality of single-tuned filters is selected in a manner wherein the maximum value is detected among the correlation coefficients. The another local signal is generated using the frequency error signal of the single-tuned filter which has been selected. A modulating signal is reproduced using the recovered carrier in a conventional manner.