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Electroencephalography (simply called EEG) is a very useful bio-electrical signal applied in many research fields so that its measurement technology will develop very fast. For the EEG signal applied in the control of the robot hand, the basic characteristics of the EEG signal are analyzed in this paper. And then, a sampling circuit of EEG signal based on AT89C2051 single-chip is designed in detail, which includes signal condition, signal acquisition and serial communication interface. Finally, the possible applications of the designed sampling circuit are discussed, respectively. The research results show that the sampling circuit designed in this paper is feasible and valuable.