… level techniques of power control and resource allocation is still required. In this paper, we
derive an analytical framework for joint downlink beamforming and power control. Most of our …

… Now, we show that uplink and downlink beamforming are very closely related. In particular,
the beamformers obtained by the algorithm in Theorem 1 are optimizers of the downlink …

… By optimal downlink beamforming (and power control), we either refer to the … constraints of
each user, or vice versa, ie, the maximization of the weakest QoS, subject to a power constraint…

… We establish the equivalence of uplink-downlink duality and Lagrangian duality in … -power
constrained channels. In particular, we show that the uplink and downlink beamforming prob…

… the optimal beamforming vectors for the downlink of a wireless network minimizing the total
… power subject to individual SINR constraints at the users and per antenna power constraints …

… the per-antenna downlink problem. For the downlink beamforming problem, this paper …
forfinding the optimal beamformers under the per-antenna power constraints: an iterative …

… power of each antenna under users’ SINR constraints. This … in optimizing beamforming under
per-antenna power constraints. … based beamforming under per-antenna power constraints. …

… Abstract—We consider the transmit beamforming design for a multi-user downlink with …
sum-power constraint across the transmit antennas, we assume individual power constraints per …

… For completeness, we also study the robust SINR balancing given total BS power constraint.
Similar procedures can be taken as the above to derive it, therefore we give the problem …

… power constraint. To facilitate the downlink multiuser transmission, an M ×K beamforming …
, ··· , pKn ], where pkn is the beamforming vector designed for cluster kn. As observed in [3], …