On the Degrees of Freedom of the 3-user Gaussian Interference Channel: the Symmetric Case

被引：12

作者：

Motahari, Abolfazl Seyed ^{[1
]}

Gharan, Shahab Oveis ^{[1
]}

Khandani, Amir Keyvan ^{[1
]}

机构：

[1] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada

来源：

2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1- 4 | 2009年

关键词：

ALIGNMENT;

D O I：

10.1109/ISIT.2009.5205547

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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 I 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.

引用

页码：1914 / 1918

页数：5