Maximizing the sum rate in symmetric networks of interfering links

  • Authors:
  • Sibi Raj Bhaskaran;Stephen V. Hanly;Nasreen Badruddin;Jamie S. Evans

  • Affiliations:
  • Centre for Ultra-Broadband Information Networks, Dept of Electrical and Electronics Engg, University of Melbourne, VIC, Australia;Centre for Ultra-Broadband Information Networks, Dept of Electrical and Electronics Engg, University of Melbourne, VIC, Australia;Centre for Ultra-Broadband Information Networks, Dept of Electrical and Electronics Engg, University of Melbourne, VIC, Australia;Centre for Ultra-Broadband Information Networks, Dept of Electrical and Electronics Engg, University of Melbourne, VIC, Australia

  • Venue:
  • ICC'09 Proceedings of the 2009 IEEE international conference on Communications
  • Year:
  • 2009

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Abstract

We consider the power optimization problem of maximizing the sum rate of a symmetric network of interfering links in Gaussian noise. All transmitters have an average transmit power constraint, the same for all transmitters. We solve this nonconvex problem by indentifying some underlying convex structure. In particular, we characterize the maximum sum rate of the network, and show that there are essentially two possible states at the optimal solution depending on the cross-gain (√ε) between the links, and/or the average power constraint: the first is a wideband (WB) state , in which all links interfere with each other, and the second is a frequency division multiplexing (FDM) state, in which all links operate in orthogonal frequency bands. The FDM state is optimal if the cross-gain between the links is above 1/√2. If ε