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arXiv · 1001.3403

Real Interference Alignment

Abolfazl Seyed Motahari·Shahab Oveis-Gharan·Mohammad-Ali Maddah-Ali·Amir Keyvan Khandani
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Abstract

In this paper, we show that the total Degrees-Of-Freedoms (DOF) of the $K$-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.

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Abolfazl Seyed Motahari, Shahab Oveis-Gharan, Mohammad-Ali Maddah-Ali, Amir Keyvan Khandani. 2010-01-20. Real Interference Alignment. https://arxiv.org/abs/1001.3403

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