Rank-Constrained Separable Semidefinite Programming With Applications to Optimal Beamforming

By Yongwei Huang, D. P. Palomar. IEEE Transactions on Signal Processing, 2010

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Outage Constrained Robust Transmit Optimization for Multiuser MISO Downlinks: Tractable Approximations by Conic Optimization (2011, background): “There are three parallel solution approaches to the problem, namely, uplink-downlink duality [10], [11], semidefinite relaxation (SDR) [5], [12], and the second-order cone programming (SOCP) formulation [13].”
Optimal Resource Allocation in Coordinated Multi-Cell Systems (2013, background): “The motivation is, for example, not to disturb neighboring systems and the corresponding constraints are called soft-shaping [107, 230], because the shape of the transmission is only affected if the power without the constraint would have exceeded the threshold ql.”
Semidefinite Relaxation of Quadratic Optimization Problems (2010, background): “Specifically, Huang and Palomar [16] showed that if the SDR (24) of the complex-valued homogeneous QCQP (23) is feasible, then there exists a solution X to (24) such that rank(X) ≤ √m.”
Multiuser MISO Beamforming for Simultaneous Wireless Information and Power Transfer (2013, background): “It is interesting to compare our work with [18] in more details.”