On the basis of analyzing the effects of frequency offset on signal constellation

a blind source separation-based carrier residual frequency and phase offset estimation method is proposed.The received signals are first centered and whitened

and the received data points are separated in time by using the initiated separation matrix with random numbers.Then

the separation-

mixed-and global matrixes are estimated using the stochastic gradient algorithm and the variable step size are updated with the PI value estimated on the basis of the global matrix estimation.Finally

the phase change trajectory of the residual frequency offset signals can be estimated on the basis of the relationship between various elements in the separation matrix and consequently the carrier frequency offset size can be estimated from the number of intervals between the adjacent phase jumping points.Simulation results show that this method can effectively estimate the residual carrier frequency offset and stationary phase offset values of the received signals.