On the degrees of freedom of the 3-user Gaussian interference channel: the symmetric case

Authors:
Abolfazl Seyed Motahari;Shahab Oveis Gharan;Amir Keyvan Khandani
Affiliations:
Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada;Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada;Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
Year:
2009

Citing 5
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Abstract

In this paper, the Degrees Of Freedom (DOF) of the symmetric 3-user Gaussian interference channel is considered. It is shown that by using un-coded signaling, the achievable DOF is a discontinuous function of the channel parameter. More importantly, for the set of irrational channel gains, which has measure 1 in real numbers, it is proved that the total system's DOF, i.e., 3/2, is achievable. This result is obtained using Hurwitz's theorem in number theory.