A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints
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In this paper, we consider an optimal zero-forcing beamformer design problem in multi-user multiple-input multiple-output broadcast channel. The minimum user rate is maximized subject to zero-forcing constraints and power constraint on each base station antenna array element. The natural formulation leads to a nonconvex optimization problem. This problem is shown to be equivalent to a convex optimization problem with linear objective function, linear equality and inequality constraints and quadratic inequality constraints. Here, the indirect elimination method is applied to reduce the convex optimization problem into an equivalent convex optimization problem of lower dimension with only inequality constraints. The primal-dual interior point method is utilized to develop an effective algorithm (in terms of computational efficiency) via solving the modified KKT equations with Newton method. Numerical simulations are carried out. Compared to algorithms based on a trust region interior point method and sequential quadratic programming method, it is observed that the method proposed is much superior in terms of computational efficiency.
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A Parallel Low Complexity Zero-Forcing Beamformer Design for Multiuser MIMO Systems Via a Regularized Dual Decomposition MethodLi, Bin; Wu, Changzhi; Dam, Hai Huyen Heidi; Cantoni, Antonio; Teo, Kok Lay (2015)Zero-forcing beamforming under per-antenna power constraint (PAPC) is considered in this paper, and the objective is to maximize the minimum user information rate. A parallel low complexity zero-forcing beamformer design ...
Interior point method for optimum zero-forcing beamforming with per-antenna power constraints and optimal step sizeDam, Hai Huyen Heidi; Cantoni, Antonio (2015)This paper proposes a new computational procedure for solving the optimal zero-forcing beamforming problem in multiple antenna channels that maximizes user achievable rate with restriction on the per-antenna element power ...
A low-complexity zero-forcing beamformer design for multiuser MIMO systems via a dual gradient methodLi, Bin; Dam, Hai Huyen Heidi; Cantoni, A. (2016)© 2016 American Institute of Mathematical Sciences. All rights reserved.In this paper, we consider the zero-forcing beamforming (ZFBF) under the per-antenna power constraints (PAPC). Our objective is to maximize the minimum ...