On the bounds of correlated rayleigh channel capacity with geometrical MIMO channel model

摘要

MIMO system has been proven to provide higher capacity that is linear increase with the number of antennas. But this is true only in independent conditions, when the spatial-temporal fading correlation exists, the capacity may vary. In the study, the geometrical MIMO channel model is presented. Based on the formula of MIMO ergodic capacity, the capacity limits are investigated with arbitrary finite number of antennas. It first derives the exact expressions for the upper and lower bounds in doubly correlated MIMO channels. Then a simple expression for the capacity bounds is attained for the high SNR. Finally, some results are provided by Monte Carlo simulation to verify the tightness of the derived bounds.