Convex Optimization
Linear precoding via conic optimization for fixed MIMO receivers
IEEE Transactions on Signal Processing
Transmitter Optimization for the Multi-Antenna Downlink With Per-Antenna Power Constraints
IEEE Transactions on Signal Processing
Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality
IEEE Transactions on Information Theory
Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels
IEEE Transactions on Information Theory
Uplink-downlink duality via minimax duality
IEEE Transactions on Information Theory
Transmit beamforming and power control for cellular wireless systems
IEEE Journal on Selected Areas in Communications
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Conditioned with per-antenna power constraints, power allocation over transmit antennas must be controlled in joint optimization of transmit beamformers and receive beamformers in multi-user Multiple-Input Multiple-Output (MIMO) downlink. In this paper, it is shown the Lagrangian dual of the per-antenna power constrained optimization problem is related to the network dual of a weighted sum power optimization problem without power constraints. From this perspective, the virtual uplink noises are found to be playing important roles. A scheme to manage power allocation over antennas by adjusting the virtual uplink noises during optimization is proposed. Under this scheme, two algorithms with different functions are designed and show good performance in simulations.