An iteratively weighted MMSE approach to distributed sum-utility maximization for a MIMO interfering broadcast channel

Qingjiang Shi, Meisam Razaviyayn, Zhi Quan Luo, Chen He

Research output: Contribution to journalArticlepeer-review

1337 Scopus citations


Consider the multiple-input multiple-output (MIMO) interfering broadcast channel whereby multiple base stations in a cellular network simultaneously transmit signals to a group of users in their own cells while causing interference to each other. The basic problem is to design linear beamformers that can maximize the system throughput. In this paper, we propose a linear transceiver design algorithm for weighted sum-rate maximization that is based on iterative minimization of weighted mean-square error (MSE). The proposed algorithm only needs local channel knowledge and converges to a stationary point of the weighted sum-rate maximization problem. Furthermore, the algorithm and its convergence can be extended to a general class of sum-utility maximization problem. The effectiveness of the proposed algorithm is validated by numerical experiments.

Original languageEnglish (US)
Article number5756489
Pages (from-to)4331-4340
Number of pages10
JournalIEEE Transactions on Signal Processing
Issue number9
StatePublished - Sep 2011

Bibliographical note

Funding Information:
Manuscript received November 26, 2010; revised April 11, 2011; accepted April 18, 2011. Date of publication April 29, 2011; date of current version August 10, 2011. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Ta-Sung Lee. This work was supported in part by the Army Research Office, Grant W911NF-09-1-0279 and in part by the National Science Foundation, Grant CMMI-0726336, as well as by a research gift from Huawei Technologies, Inc. The work of Q. Shi was performed while he was a visiting Ph.D. student at the University of Minnesota, with financial support from the China Scholarship Council and the Important National Science & Technology Specific Projects (2010ZX03003-002-03 and 2011ZX03003-001-03).


  • Linear beamformer
  • MIMO interfering broadcast channel
  • sum-utility maximization
  • weighted MMSE
  • weighted sum-rate maximization


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