Linear transceiver design for a MIMO interfering broadcast channel achieving max-min fairness

Meisam Razaviyayn, Mingyi Hong, Zhi Quan Luo

Research output: Contribution to journalArticlepeer-review

50 Scopus citations


We consider the problem of linear transceiver design to achieve max-min fairness in a downlink MIMO multicell network. This problem can be formulated as maximizing the minimum rate among all the users in an interfering broadcast channel (IBC). In this paper we show that when the number of antennas is at least two at each of the transmitters and the receivers, the min rate maximization problem is NP-hard in the number of users. Moreover, we develop a low-complexity algorithm for this problem by iteratively solving a sequence of convex subproblems. We theoretically establish the global convergence of the proposed algorithm to the set of stationary points, which may be suboptimal due to the non-convexity of the original minimum rate maximization problem. Numerical simulations show that this algorithm is efficient in achieving fairness among all the users.

Original languageEnglish (US)
Pages (from-to)3327-3340
Number of pages14
JournalSignal Processing
Issue number12
StatePublished - 2013

Bibliographical note

Funding Information:
This research is supported in part by a research gift from Huawei Technologies Inc , and by the Army Research Office , Grant number W911NF-09-1-0279 .

Copyright 2017 Elsevier B.V., All rights reserved.


  • Computational complexity
  • Convex optimization
  • Interference channel
  • Interfering broadcast channel
  • Max-min fairness


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