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FBMC/OQAM transmission system has a better spectral efficiency than OFDM. However, its orthogonality condition is only considered in the realfield. In the presence of fading channels, the real or-thogonality of FBMC/OQAM might be lost, which calls for new equalization schemes. In this paper, an improved equalizer with real interference predic-tion (ERIP) scheme of FBMC/OQAM is proposed. We analyze the correlation between the real and the neighboring imaginary interference components tak-ing Doppler shifts into account, and derive the im-proved ERIP scheme. The simulation results show that the proposed scheme can outperform the origi-nal ERIP and the one-tap equalization in time-varying multipath scenarios with an affordable complexity.