Sum-capacity and the unique separability of the parallel Gaussian MAC-Z-BC network

Viveck Ramesh Cadambe, Syed A. Jafar

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

9 Scopus citations

Abstract

It is known that the capacity of parallel (e.g., multicarrier) Gaussian point-to-point, multiple access and broadcast channels (without common messages) can be achieved by separate encoding for each subchannel (carrier) subject to a power allocation across carriers. Recent results have shown that parallel interference channels are not separable, i.e., joint coding is needed to achieve capacity in general. This work studies the separability, from a sum-capacity perspective, of single hop Gaussian interference networks with independent messages and arbitrary number of transmitters and receivers. The main result is that the only network that is always (for all values of channel coefficients) separable from a sum-capacity perspective is the MAC-Z-BC network, i.e., a network where a MAC component and a BC component are linked by a Z component. The sum capacity of this network is explicitly characterized.

Original languageEnglish (US)
Title of host publication2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings
Pages2318-2322
Number of pages5
DOIs
StatePublished - Aug 23 2010
Event2010 IEEE International Symposium on Information Theory, ISIT 2010 - Austin, TX, United States
Duration: Jun 13 2010Jun 18 2010

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8103

Other

Other2010 IEEE International Symposium on Information Theory, ISIT 2010
CountryUnited States
CityAustin, TX
Period6/13/106/18/10

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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    Cadambe, V. R., & Jafar, S. A. (2010). Sum-capacity and the unique separability of the parallel Gaussian MAC-Z-BC network. In 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings (pp. 2318-2322). [5513660] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2010.5513660