Belief propagation for distributed downlink beamforming in cooperative MIMO cellular networks

Illsoo Sohn, Sang Hyun Lee, Jeffrey G. Andrews

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)


We propose a new graphical model approach to cooperative multiple-input multiple-output (MIMO) cellular networks. The objective is to optimize downlink transmit beamforming at each BS in order to maximize the sum throughput over the entire network. While ideal centralized beamforming requires full channel state information (CSI) sharing among all BSs in the network and huge computational complexity for combinatorial optimization, the proposed graphical model enables distributed beamforming which requires only local CSI sharing between neighboring BSs and efficiently solves the optimization problem in a distributed manner. As distributed solvers for this problem, we derive message-passing algorithms which can be implemented with polynomial-time computational complexity. Furthermore, we make a slight approximation on the objective function to derive a simpler graphical model, providing further complexity saving. Simulation results indicate that the proposed distributed downlink beamforming achieves average cell throughput typically within just 2% of ideal centralized beamforming.

Original languageEnglish
Article number6059454
Pages (from-to)4140-4149
Number of pages10
JournalIEEE Transactions on Wireless Communications
Issue number12
Publication statusPublished - 2011 Dec
Externally publishedYes


  • Multiple-input multiple-output
  • base station cooperation
  • belief-propagation
  • cellular network
  • intercell interference
  • transmit beamforming

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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