Linear degrees of freedom of the X-Channel with delayed CSIT

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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.
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Issue Date
2014-04
Language
English
Article Type
Article
Keywords

INTERFERENCE ALIGNMENT

Citation

IEEE TRANSACTIONS ON INFORMATION THEORY, v.60, no.4, pp.2180 - 2189

ISSN
0018-9448
DOI
10.1109/TIT.2014.2307053
URI
http://hdl.handle.net/10203/188864
Appears in Collection
EE-Journal Papers(저널논문)
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