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In this paper, three novel efficient power control algorithms are proposed for V-BLAST system with both Total Power Constraint (TPC) and Per-Antenna Power Constraints (PAPC). Through analysis of the Karush-Kuhn-Tucker (KKT) conditions of the optimization problem, the authors find out that the antennas with the optimal power control can be divided into two sets. The Optimal Allocated Power (OAP) of each antenna in the first set is its per-antenna power constraint, and the OAPs of the antennas in the second set can be obtained easily through a new optimization problem with TPC only.
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