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MIMO system can provide higher capacity in independent conditions. When the spatial-temporal fading correlation exists,the capacity may decrease. In this paper, the geometrical MIMO channel model is presented with Rician factor. Based on the MIMO ergodic capacity, the capacity bounds are derived with arbitrary fmite number of antennas. The bounds are derived in the exact expressions in doubly correlated MIMO Rician channel. Then a simple expression for the capacity bounds is attained for the high SNR. Finally,the tightness of derived bounds is verged by Monte Carlo simulation.