Journal of Global Optimization

, Volume 62, Issue 4, pp 877–886 | Cite as

Some interesting properties for zero-forcing beamforming under per-antenna power constraints in rural areas

  • Bin Li
  • Hai Huyen Dam
  • Antonio Cantoni
  • Kok Lay Teo


Providing broadband services in the rural area is a challenging work. Multi-user multiple-input multiple-output (MU-MIMO) systems can be applied to increase spectral efficiency. One of the most commonly used method in MU-MIMO broadcast channel is zero-forcing beamforming (ZFBF) since it provides a good trade off between complexity and performance. In this paper, we consider the ZFBF under the per-antenna power constraints. Particularly, a deterministic line-of-sight modeling of the downlink channels is adopted. To reduce the computational complexity, we consider the problem in which all the equality constraints are eliminated. By examining the KKT optimality conditions and the properties of the channel, some interesting properties are revealed.


Zero-forcing beamforming Per-antenna power constraints  MIMO Line-of-sight Rural areas 



This work was supported by a grant from the Australia Research Council (No. DP120103859).


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Bin Li
    • 1
  • Hai Huyen Dam
    • 2
  • Antonio Cantoni
    • 1
  • Kok Lay Teo
    • 2
  1. 1.School of Electrical, Electronic and Computer EngineeringThe University of Western AustraliaCrawleyAustralia
  2. 2.Department of Mathematics and StatisticsCurtin UniversityPerthAustralia

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