On the Degrees of Freedom of the 3-user Gaussian interference channel: The symmetric case

Abolfazl Seyed Motahari,Shahab Oveis Gharan,Amir Keyvan Khandani

doi:10.1109/isit.2009.5205547

On the Degrees of Freedom of the 3-user Gaussian interference channel: The symmetric case

Abolfazl Seyed Motahari, Shahab Oveis Gharan + Show 1 more

https://doi.org/10.1109/isit.2009.5205547

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Publication Date: Jun 1, 2009

Citations: 26

Affiliation: University of Waterloo

#Theorem In Number Theory #Achievable Degrees Of Freedom + Show 8 more

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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.

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