McPAO: A distributed multi-channel power allocation and optimization algorithm for femtocells

  • Xiaojin Zheng
  • , Jing Xu
  • , Jiang Wang
  • , Yang Yang*
  • , Xiaoying Zheng
  • , Yong Teng
  • , Kari Horneman
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Efficient radio resource management is a key issue in a multi-channel femtocell system, where femtocell base stations are deployed randomly and will generate interference to each other. In this research, we formulate multi-channel power allocation as a convex optimization problem, in order to maximize the overall system throughput under complex transmit power constraint. We apply the Lagrangian duality techniques to make the problem decomposable and propose a distributed iterative subgradient algorithm, namelyMulti-channel Power Allocation and Optimization (McPAO). Specifically, McPAO consists of two phases: (I) a gradient projection algorithm to solve the optimal power allocation for each channel under a fixed Lagrangian dual cost; and (II) a subgradient algorithm to update the Lagrangian dual cost by using the power allocation results from Phase I. This twophase iteration process continues until the Lagrangian dual cost converges to the optimal value. Numerical results show that our McPAO algorithm can improve the overall system throughput by 18 %, comparing to with fixed power allocation schemes. In addition, we study the impact of errors in gradient direction estimation (Phase I), which are caused by limited or delayed information exchange among femtocells in realistic situations. These errors will be propagated into the subgradient algorithm (Phase II) and, subsequently, affect the overall performance of McPAO. A rigorous analytical approach is developed to prove that McPAO can always achieve a bounded overall throughput performance very close to the global optimum.

Original languageEnglish
Pages (from-to)648-661
Number of pages14
JournalMobile Networks and Applications
Volume17
Issue number5
DOIs
StatePublished - Oct 2012
Externally publishedYes

Keywords

  • Convex optimization
  • Femtocell
  • Lagrangian duality
  • Power allocation

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