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The authors investigate MIMO eigenmode transmission using statistical channel state information at the transmitter. They consider a general jointly-correlated MIMO channel model, which does not require separable spatial correlations at the transmitter and receiver. For this model, they first derive a closed-form tight upper bound for the ergodic capacity, which reveals a simple and interesting relationship in terms of the matrix permanent of the eigenmode channel coupling matrix and embraces many existing results in the literature as special cases. Based on this closed-form and tractable upper bound expression, they then employ convex optimization techniques to develop low-complexity power allocation solutions involving only the channel statistics.
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