Paper Info
Title
A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints.
Abstract
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.
Year
DOI
Venue
2014
10.1007/s11590-013-0673-y
Optimization Letters
Keywords
Field
DocType
Zero-forcing beamforming, Per-antenna power constraints, Primal-dual interior point method, Newton method
Second-order cone programming,Mathematical optimization,Active set method,Mathematical analysis,Nonlinear programming,Quadratic programming,Karush–Kuhn–Tucker conditions,Convex optimization,Interior point method,Mathematics,Linear matrix inequality
Journal
Volume
Issue
ISSN
8
6
1862-4480
Citations 
PageRank 
References 
8
0.62
13
Authors
4
Name
Order
Citations
PageRank
Bin Li1657.93
Hai Huyen Dam221230.96
Antonio Cantoni319024.80
K. L. Teo41643211.47