Transmitter Optimization for the Multi-Antenna Downlink With Per-Antenna Power Constraints

This paper considers the transmitter optimization problem for a multiuser downlink channel with multiple transmit antennas at the base-station. In contrast to the conventional sum-power constraint on the transmit antennas, this paper adopts a more realistic per-antenna power constraint, because in practical implementations each antenna is equipped with its own power amplifier and is limited individually by the linearity of the amplifier. Assuming perfect channel knowledge at the transmitter, this paper investigates two different transmission schemes under the per-antenna power constraint: a minimum-power beamforming design for downlink channels with a single antenna at each remote user and a capacity-achieving transmitter design for downlink channels with multiple antennas at each remote user. It is shown that in both cases, the per-antenna downlink transmitter optimization problem may be transformed into a dual uplink problem with an uncertain noise. This generalizes previous uplink-downlink duality results and transforms the per-antenna transmitter optimization problem into an equivalent minimax optimization problem. Further, it is shown that various notions of uplink-downlink duality may be unified under a Lagrangian duality framework. This new interpretation of duality gives rise to efficient numerical optimization techniques for solving the downlink per-antenna transmitter optimization problem

[1]  Shlomo Shamai,et al.  On the achievable throughput of a multiantenna Gaussian broadcast channel , 2003, IEEE Transactions on Information Theory.

[2]  Leandros Tassiulas,et al.  Joint transmitter receiver diversity for efficient space division multiaccess , 2002, IEEE Trans. Wirel. Commun..

[3]  Wei Yu,et al.  Trellis and convolutional precoding for transmitter-based interference presubtraction , 2005, IEEE Transactions on Communications.

[4]  Leandros Tassiulas,et al.  Transmit beamforming and power control for cellular wireless systems , 1998, IEEE J. Sel. Areas Commun..

[5]  Leandros Tassiulas,et al.  Joint optimal power control and beamforming in wireless networks using antenna arrays , 1998, IEEE Trans. Commun..

[6]  Ami Wiesel,et al.  Linear precoding via conic optimization for fixed MIMO receivers , 2006, IEEE Transactions on Signal Processing.

[7]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.

[8]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[9]  David Tse,et al.  Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality , 2003, IEEE Trans. Inf. Theory.

[10]  Stephan ten Brink,et al.  A close-to-capacity dirty paper coding scheme , 2004, IEEE Transactions on Information Theory.

[11]  Wei Yu,et al.  Uplink-downlink duality via minimax duality , 2006, IEEE Transactions on Information Theory.

[12]  Holger Boche,et al.  Iterative multiuser uplink and downlink beamforming under SINR constraints , 2005, IEEE Transactions on Signal Processing.

[13]  Shlomo Shamai,et al.  The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel , 2006, IEEE Transactions on Information Theory.

[14]  E. Visotsky,et al.  Optimum beamforming using transmit antenna arrays , 1999, 1999 IEEE 49th Vehicular Technology Conference (Cat. No.99CH36363).

[15]  Holger Boche,et al.  Solution of the multiuser downlink beamforming problem with individual SINR constraints , 2004, IEEE Transactions on Vehicular Technology.

[16]  Andrea J. Goldsmith,et al.  On the duality of Gaussian multiple-access and broadcast channels , 2002, IEEE Transactions on Information Theory.

[17]  Naum Zuselevich Shor,et al.  Minimization Methods for Non-Differentiable Functions , 1985, Springer Series in Computational Mathematics.

[18]  Andrea J. Goldsmith,et al.  Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels , 2003, IEEE Trans. Inf. Theory.

[19]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[20]  Wei Yu,et al.  Sum capacity of Gaussian vector broadcast channels , 2004, IEEE Transactions on Information Theory.

[21]  David Tse,et al.  Sum capacity of the multiple antenna Gaussian broadcast channel , 2002, Proceedings IEEE International Symposium on Information Theory,.