Interference alignment and the generalized degrees of freedom of the x channel

Chiachi Huang, Viveck R. Cadambe, Syed Ali Jafar

Research output: Contribution to journalArticlepeer-review

57 Citations (SciVal)


We explore the capacity and generalized degrees of freedom (GDOF) of the two-user Gaussian X channel, i.e., a generalization of the two-user interference channel where there is an independent message from each transmitter to each receiver. There are three main results in this paper. First, we characterize the sum capacity of the deterministic X channel under a symmetric setting. Second, we characterize the GDOF of the Gaussian X channel under a similar symmetric model. Third. we extend the sum capacity characterization previously obtained for the Gaussian interference channel in the noisy interference regime to the Gaussian X channel. Specifically, we show that the Gaussian X channel has the same sum capacity as the underlying Gaussian interference channel in this regime.

Original languageEnglish (US)
Article number6205383
Pages (from-to)5130-5150
Number of pages21
JournalIEEE Transactions on Information Theory
Issue number8
StatePublished - 2012

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


Dive into the research topics of 'Interference alignment and the generalized degrees of freedom of the x channel'. Together they form a unique fingerprint.

Cite this