English

Real Interference Alignment

Information Theory 2010-01-21 v1 math.IT Number Theory

Abstract

In this paper, we show that the total Degrees-Of-Freedoms (DOF) of the KK-user Gaussian Interference Channel (GIC) can be achieved by incorporating a new alignment technique known as \emph{real interference alignment}. This technique compared to its ancestor \emph{vector interference alignment} performs on a single real line and exploits the properties of real numbers to provide optimal signaling. The real interference alignment relies on a new coding scheme in which several data streams having fractional multiplexing gains are sent by transmitters and interfering streams are aligned at receivers. The coding scheme is backed up by a recent result in the field of Diophantine approximation, which states that the convergence part of the Khintchine-Groshev theorem holds for points on non-degenerate manifolds.

Keywords

Cite

@article{arxiv.1001.3403,
  title  = {Real Interference Alignment},
  author = {Abolfazl Seyed Motahari and Shahab Oveis-Gharan and Mohammad-Ali Maddah-Ali and Amir Keyvan Khandani},
  journal= {arXiv preprint arXiv:1001.3403},
  year   = {2010}
}

Comments

Submitted to ISIT 2010. For the full version, please visit arXiv:0908.2282

R2 v1 2026-06-21T14:36:48.283Z