Linear Degrees of Freedom of the X-Channel With Delayed CSIT

被引：48

作者：

Lashgari, Sina ^{[1
]}

Avestimehr, Amir Salman ^{[2
]}

Suh, Changho ^{[3
]}

机构：

[1] Cornell Univ, Sch Elect & Comp Engn, Ithaca, NY 14850 USA

[2] Univ So Calif, Dept Elect Engn, Los Angeles, CA 90089 USA

[3] Korea Adv Inst Sci & Technol, Dept Elect Engn, Taejon 305701, South Korea

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2014年 / 60卷 / 04期

基金：

美国国家科学基金会;

关键词：

Delayed effects; channel state information; interference channels; interference suppression; wireless networks; INTERFERENCE ALIGNMENT;

D O I：

10.1109/TIT.2014.2307053

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish the degrees of freedom (DoF) of the two-user X-channel with delayed channel knowledge at transmitters [i.e., delayed channel state information at the transmitters (CSIT)], assuming linear coding strategies at the transmitters. We derive a new upper bound and characterize the linear DoF of this network to be 6/5. The converse builds upon our development of a general lemma that shows that, if two distributed transmitters employ linear strategies, the ratio of the dimensions of received linear subspaces at the two receivers cannot exceed 3/2, due to delayed CSIT. As a byproduct, we also apply this general lemma to the three-user interference channel with delayed CSIT, thereby deriving a new upper bound of 9/7 on its linear DoF. This is the first bound that captures the impact of delayed CSIT on the DoF of this network, under the assumption of linear encoding strategies.

引用

页码：2180 / 2189

页数：10

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