Maximizing sum rate and minimizing MSE on multiuser downlink: optimality, fast algorithms and equivalence via max-min SIR

  • Authors:

  • Chee Wei Tan;Mung Chiang;R. Srikant

  • Affiliations:

  • California Institute of Technology, CA and Princeton University, NJ;Princeton University, NJ;University of lllinois at Urbana-Champaign, IL

  • Venue:
  • ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
  • Year:
  • 2009

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Abstract

Maximizing the minimum weighted SIR, minimizing the weighted sum MSE and maximizing the weighted sum rate in a multiuser downlink system are three important performance objectives in joint transceiver and power optimization, where all the users have a total power constraint. We show that, through connections with the nonlinear Perron-Frobenius theory, jointly optimizing power and beamformers in the max-min weighted SIR problem can be solved optimally in a distributed fashion. Then, connecting these three performance objectives through the arithmetic-geometric mean inequality and nonnegative matrix theory, we solve the weighted sum MSE minimization and weighted sum rate maximization in the low to moderate interference regimes using fast algorithms.