Title :
On the Degrees of Freedom of the 3-user Gaussian interference channel: The symmetric case
Author :
Motahari, Abolfazl S. ; Khandani, Amir K. ; Gharan, S.O.
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of Waterloo, Waterloo, ON, Canada
fDate :
June 28 2009-July 3 2009
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.
Keywords :
Gaussian channels; interference; number theory; Hurwitz´s theorem; degrees of freedom; discontinuous function; number theory; symmetric 3-user Gaussian interference channel; uncoded signaling; Additive noise; Constellation diagram; Councils; Decoding; Gain measurement; Interference channels; Lattices; Random variables; Signal to noise ratio; Transmitters;
Conference_Titel :
Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Conference_Location :
Seoul
Print_ISBN :
978-1-4244-4312-3
Electronic_ISBN :
978-1-4244-4313-0
DOI :
10.1109/ISIT.2009.5205547
