The Doppler frequency change caused by the relative movement between communication nodes will cause sub-carrier interference of the orthogonal frequency division multiplexing(OFDM)system and affect the performance of the OFDM communication system. Aimed at the sub-channel interference caused by the relative movement of the transceiver, this paper proposes PEMD-WFFT(Pilot Empirical Mode Decomposition -Wavelet FFT)adaptive equalization algorithm. This algorithm uses the coherent detection method to separate the frequency offset component at the center frequency of the signal，and uses EMD technology to decompose the signal frequency components that have been processed with coherent detection. The frequency deviation of the signal caused by Doppler is estimated，and then the WFFT(Wavelet FFT)Doppler suppression algorithm is used to compensate for the residual Doppler. Coherent detection technology is combined with adaptive stochastic gradient algorithm to obtain tap coefficients in the signal reconstruction process. This method has good pilot performance and channel tracking ability. This method has great pilot frequency performance and channel tracking ability. Compared with the WFFT algorithm，it can compensate for the Doppler frequency deviation caused by higher moving speed. In the end，the algorithm simulation has been performed，and the feasibility of the algorithm has been proved through a pool experiment.
