Real Interference Alignment: Exploiting the Potential of Single Antenna Systems

Understand

In this paper, the available spatial Degrees-Of-Freedoms (DOF) in single antenna systems is exploited.

• A new coding scheme is proposed in which several data streams having fractional multiplexing gains are sent by transmitters and interfering streams are aligned at receivers.
• Viewed as a field over rational numbers, a received signal has infinite fractional DOFs, allowing simultaneous interference alignment of any finite number of signals at any finite number of 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.