Method for estimating the frequency offset in a communication system over a Rayleigh fading channel

Disclosed is a method for estimating a frequency offset in a mobile communication system that divides a predetermined frequency band by a time division scheme to transmit data signals or divides an entire frequency band into a plurality of sub-frequency bands to transmit the data signals. The method includes the steps of modeling a fast fading channel by one of a linear equation and a polynomial equation; and applying the model to a variable for the channel after performing the modeling and estimating the channel and the frequency offset based on a joint maximum likelihood using a training sequence.