Real Interference Alignment

In this paper, we show that the total Degrees-OfFreedoms (DOF) of the K-user Gaussian Interference Channel (GIC) can be achieved by incorporating a new alignment technique known as real interference alignment. This technique compared to its ancestor 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.