Interference alignment and degrees of freedom of the K-user interference channel

Viveck R. Cadambe, Syed Ali Jafar

Research output: Contribution to journalArticlepeer-review

2615 Scopus citations


For the fully connected K user wireless interference channel where the channel coefficients are time-varying and are drawn from a continuous distribution, the sum capacity is characterized as C(SNR)= K/2log(SNR) + 0(log (SNR). Thus, the K user time-varying interference channel almost surely has K/2 degrees of freedom. Achievability is based on the idea of interference alignment. Examples are also provided of fully connected K user interference channels with constant (not time-varying) coefficients where the capacity is exactly achieved by interference alignment at all SNR values.

Original languageEnglish (US)
Pages (from-to)3425-3441
Number of pages17
JournalIEEE Transactions on Information Theory
Issue number8
StatePublished - Aug 2008

All Science Journal Classification (ASJC) codes

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


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