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MIMO capacity with a joint total and per-antenna average power constraint isconsidered in this work. The problem arises when, besides having a limitedavailable power at the transmitter, also the individual antennas cannot radiatepower beyond the limits of their corresponding RF chains. Closed-form resultsare illustrated in specific cases and, in particular, in the unit-rank channelmatrix case. Lower-complexity optimization problems are derived for the othercases. Numerical complexity is derived in terms of the number of equivalentreal variables for the optimization problem and a general formula is provideddepending on the channel matrix rank. Numerical results are included tovalidate and illustrate the application of the proposed optimization algorithmsand also to evaluate the time complexity of its implementation.

MIMO Capacity with Average Total and Per-Antenna Power Constraints