Multi-cell uplink-downlink beamforming throughput duality based on Lagrangian duality with per-base station power constraints

Janghoon Yang, Dong Ku Kim

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

Abstract

Despite significant research efforts in beamforming, the maximum achievable downlink throughput with beamforming in a multi-cell environment is not available due to difficulty in finding optimal downlink beamforming. Thus, to reformulate the problem into a more solvable form, we derive dual uplink throughput optimization problem to multi-cell downlink beam- forming throughput maximization with per-base station (BS) power constraints based on Lagrangian duality. The optimal downlink beamforming is shown to be a minimum mean squared error (MMSE) beamforming in the dual uplink. It is also shown that the dual uplink problem achieves the same optimal throughput as the primal downlink problem.

Original languageEnglish
Pages (from-to)277-279
Number of pages3
JournalIEEE Communications Letters
Volume12
Issue number4
DOIs
Publication statusPublished - 2008

Bibliographical note

Funding Information:
Manuscript received December 8, 2007. The associate editor coordinating the review of this letter and approving it for publication was S. Cui. This work was supported in part by Brain Korea 21 and Qualcomm. The authors are with the School of Electrical and Electronic Engineering, Yonsei University, Seoul, 120-779, Korea(ROK) (e-mail: {jhyang00, dkkim}@yonsei.ac.kr). Digital Object Identifier 10.1109/LCOMM.2008.072065.

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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