Title
On the degrees of freedom of the 3-user Gaussian interference channel: the symmetric case
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.
Year
DOI
Venue
2009
10.1109/ISIT.2009.5205547
ISIT
Keywords
Field
DocType
irrational channel gain,real number,discontinuous function,achievable dof,3-user gaussian interference channel,number theory,total system,symmetric case,channel parameter,data mining,signal to noise ratio,degrees of freedom,degree of freedom,lattices,interference
Continuous function,Combinatorics,Lattice (order),Signal-to-noise ratio,Communication channel,Irrational number,Interference (wave propagation),Real number,Number theory,Mathematics
Conference
Citations 
PageRank 
References 
7
0.80
8
Authors
3
Name
Order
Citations
PageRank
Abolfazl Seyed Motahari137026.78
Shahab Oveis Gharan219816.23
Amir Keyvan Khandani336324.94