The invention provides carrier recovery systems and carrier recovery methods. The carrier recovery system comprises a compensation signal generator, a compensation device and a mode selector. The compensation signal generator generates a compensation signal based on a coherent demodulated signal. In a first mode, the compensate device is couple behind an equalizer; the coherent demodulated signal is generated by the compensation device which compensates the output of the equalizer with the compensation signal. In a second mode, the compensate device is coupled prior to the equalizer, compensating the output of a synchronizer with the compensation signal to generate the input of the equalizer. In the second mode, the compensation signal generator receives the output of the equalizer as the coherent demodulated signal. The mode selector switches the carrier recover system from the first mode to the second mode when an estimated frequency offset satisfies a first criterion.