On the robustness of lattice interference alignment

Or Ordentlich*, Uri Erez

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


A static (constant channel gains) real K-user interference channel is considered, where all interference (cross) channel gains are integers. For such channels, previous results demonstrate that the number of degrees of freedom is very sensitive to slight variations in the direct channel gains. In this paper, we derive an achievable rate region for such channels that is valid for finite SNR. At moderate values of SNR, the derived rate region is robust to slight variations in the direct channel gains. At asymptotic high SNR conditions, known results on the degrees of freedom are recovered. The new rate region is based on lattice interference alignment. The result is established via a new coding theorem for the two-user Gaussian multiple-access channel where both users use a single linear code.

Original languageAmerican English
Article number6423916
Pages (from-to)2735-2759
Number of pages25
JournalIEEE Transactions on Information Theory
Issue number5
StatePublished - 2013
Externally publishedYes


  • Interference alignment
  • interference channel
  • linear codes
  • multiple-access channel (MAC)


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