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In this paper, we investigate the capacity for antenna selection systems in the spatial correlated Rayleigh fading channels. Antenna selection is performed both at the transmitter and receiver, one transmit antenna is selected from N transmit antennas and m receive antennas are selected from M receive antennas. Upper and lower bounds of the capacity are derived. For a special antenna selection system in which one transmit antenna and two receive antennas are selected, the exact forms of the upper bound and lower bound are given . The simulation results show that both upper bound and lower bound are tight with the ergodic capacity and the exact form of the bounds fits the Monte Carlo results exactly.