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The multiple-inputs multiple-outputs(MIMO) underwater acoustic communication system is proposed based on the hypothetical condition of acoustic channel. The matrix outer-product decomposition algorithm (OPDA) is adopted to realize the blind identification of the underwater acoustic channel. It can acquire the real-time channel response by the real-time communication receipt signals and it needn't to send the training sequences comparing with the traditional methods. And the source signals can be restored using this channel response based on an equalizer. Simulation results show that OPDA can realize the estimation of most channels perfectly and the constellation of some signals is convergent on the whole after equalizing.