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General Rank Multiuser Downlink Beamforming With Shaping Constraints Using Real-valued OSTBC

Information Theory 2015-10-28 v2 math.IT

Abstract

In this paper we consider optimal multiuser downlink beamforming in the presence of a massive number of arbitrary quadratic shaping constraints. We combine beamforming with full-rate high dimensional real-valued orthogonal space time block coding (OSTBC) to increase the number of beamforming weight vectors and associated degrees of freedom in the beamformer design. The original multi-constraint beamforming problem is converted into a convex optimization problem using semidefinite relaxation (SDR) which can be solved efficiently. In contrast to conventional (rank-one) beamforming approaches in which an optimal beamforming solution can be obtained only when the SDR solution (after rank reduction) exhibits the rank-one property, in our approach optimality is guaranteed when a rank of eight is not exceeded. We show that our approach can incorporate up to 79 additional shaping constraints for which an optimal beamforming solution is guaranteed as compared to a maximum of two additional constraints that bound the conventional rank-one downlink beamforming designs. Simulation results demonstrate the flexibility of our proposed beamformer design.

Keywords

Cite

@article{arxiv.1502.04488,
  title  = {General Rank Multiuser Downlink Beamforming With Shaping Constraints Using Real-valued OSTBC},
  author = {Ka Lung Law and Xin Wen and Minh Thanh Vu and Marius Pesavento},
  journal= {arXiv preprint arXiv:1502.04488},
  year   = {2015}
}
R2 v1 2026-06-22T08:30:20.880Z