The traditional fractional frequency offset(FFO) estimation schemes for orthogonal frequency division multiplexing(OFDM) in non-cooperative communication have the problems of susceptible performance with the frequency offset values and the number of OFDM symbols,a novel fractional frequency offset blind estimation scheme based on EKF for OFDM systems is conceived.The nonlinear function of the frequency offset is calculated by employing the correlation.And then the frequency offset is estimated by means of the iterative algorithm of EKF.The finally fractional frequency offset is estimated by adopting repeated the above process.Simulation results demonstrate that the proposed scheme is robust to the frequency offset values without any requirements of a prior knowledge. The traditional fractional frequency offset (FFO) estimation schemes for orthogonal frequency division multiplexing (OFDM) in non-cooperative communication have the problems of susceptible performance with the frequency offset values ​​and the number of OFDM symbols, a novel fractional frequency offset blind estimation scheme based on EKF for OFDM systems is conceived. The nonlinear function of the frequency offset is calculated by employing the correlation. And then then the frequency offset is estimated by means of the iterative algorithm of EKF. The finally fractional frequency offset is estimated by may repeated the above process.Simulation results demonstrate that the proposed scheme is robust to the frequency offset values ​​without any requirements of a prior knowledge.