In a communication 
system using the 
time diversity transmission scheme, the communication 
system provided with the stable 
automatic frequency control circuit with the wide frequency pull-in range and under low CN ratio transmission is achieved by removing the modulation phase from the received data through the application of the 
data correlation of the 
time diversity. The 
frequency offset in the received 
signal is compensated as the phase rotator rotates the phase of the received 
signal, the 
phase converter converts the phase rotator output into a phase, the serial-to-parallel converter converts the 
phase converter outputs into serial-to-parallel sequence, the 
delay units gives a 
delay to the serial-to-parallel converter output, the phase 
adder adds the serial-to-parallel converter output to the 
delay unit output, the multiplier multiplies the phase 
adder output by a certain value, the 
integrator integrates the multiplier output, another 
integrator integrates the 
integrator output, and the phase rotator controls the phase of the received 
signal based on the other integrator output.