Maximizing the sum rate in symmetric networks of interfering links

Sibi Raj Bhaskaran, Stephen V. Hanly, Nasreen Badruddin, Jamie S. Evans

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

1 Citation (Scopus)


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 < 1/2, then FDM is still optimal provided the average power of the links is sufficiently high. With ε < 1/2, the WB state occurs when the average power level is low (relative to the noise and the cross-gain factor), but as we increase the average power level from low to high, there is a smooth transition from the WB state to the FDM state: For intermediate average power levels, the optimal configuration is a mixture, with some fraction of the bandwidth in the WB state, and the other fraction in the FDM state. This work has applications to DSL, as well as to wireless networks.

Original languageEnglish
Title of host publicationIEEE International Conference on Communications
Subtitle of host publicationICC 2009: proceedings: 14-18 June 2009, Dresden, Germany
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages6
ISBN (Print)9781424434350
Publication statusPublished - 2009
Externally publishedYes
Event2009 IEEE International Conference on Communications, ICC - 2009 - Dresden, Germany
Duration: 14 Jun 200918 Jun 2009


Other2009 IEEE International Conference on Communications, ICC - 2009

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