Generalized degrees of freedom of the (noisy) X channel

Chiachi Huang, Viveck R. Cadambe, Syed A. Jafar

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

5 Scopus citations

Abstract

We provide outer bounds on the capacity region of the two-user Gaussian X channel, i.e. a generalization of the twouser interference channel where there is an independent message from each transmitter to each receiver. We identify the conditions under which operating the X channel as the interference channel is optimal from the perspective of generalized degrees of freedom (GDOF) and sum capacity. Specifically, we first extend the bound on the sum rate of the interference channel obtained by Etkin, Tse, and Wang in [1] to the X channel. This bound provides insights into the operating regimes in which two channels have the same GDOF. We then extend the noisy interference capacity characterization previously obtained for the interference channel [2]-[4] to the X channel. Therefore, we show that the X channel associated with noisy (very weak) interference channel has the same sum capacity as the noisy interference channel.

Original languageEnglish (US)
Title of host publication2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008
Pages1565-1569
Number of pages5
DOIs
StatePublished - Dec 1 2008
Event2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 - Pacific Grove, CA, United States
Duration: Oct 26 2008Oct 29 2008

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)1058-6393

Other

Other2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008
CountryUnited States
CityPacific Grove, CA
Period10/26/0810/29/08

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Networks and Communications

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  • Cite this

    Huang, C., Cadambe, V. R., & Jafar, S. A. (2008). Generalized degrees of freedom of the (noisy) X channel. In 2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 (pp. 1565-1569). [5074685] (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2008.5074685