2016
DOI: 10.1109/lcomm.2016.2606413
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Optimal Degrees of Freedom Region for the Asymmetric MIMO Y Channel

Abstract: Abstract-This letter studies the optimal degrees of freedom (DoF) region for the asymmetric three-user MIMO Y channel with antenna configuration (M1, M2, M3, N ), where Mi is the number of antennas at user i and N is the number of antennas at the relay node. The converse is proved by using the cutset theorem and the genie-message approach. To prove the achievability, we divide the DoF tuples in the outer bound into two cases. For each case, we show that the DoF tuples are achievable by collectively utilizing a… Show more

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Cited by 7 publications
(6 citation statements)
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“…However, this results in a DoF achievability problem far more complicated than (9), since we need to analyze the feasibility of all possible DoF tuples of (d 0,1 , d 1,0 , d 1,2 , d 2,1 , d 0,2 , d 2,0 ) under an asymmetric antenna configuration. The optimal DoF region for the single-relay case has been recently reported in [30]. We believe that the techniques used in [30] will provide some insights on deriving the DoF region of the multi-relay case.…”
Section: B General Antenna and Dof Setupsmentioning
confidence: 90%
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“…However, this results in a DoF achievability problem far more complicated than (9), since we need to analyze the feasibility of all possible DoF tuples of (d 0,1 , d 1,0 , d 1,2 , d 2,1 , d 0,2 , d 2,0 ) under an asymmetric antenna configuration. The optimal DoF region for the single-relay case has been recently reported in [30]. We believe that the techniques used in [30] will provide some insights on deriving the DoF region of the multi-relay case.…”
Section: B General Antenna and Dof Setupsmentioning
confidence: 90%
“…) under an asymmetric antenna configuration. The optimal DoF region for the single-relay case has been recently reported in [30]. We believe that the techniques used in [30] will provide some insights on deriving the DoF region of the multi-relay case.…”
Section: B General Antenna and Dof Setupsmentioning
confidence: 90%
See 1 more Smart Citation
“…The authors in [97] improved the result in [94] and showed that the optimal DoF region of the three-user asymmetric MIMO Y channel is achievable by utilizing antenna deactivation, pairwise and cyclic signal alignments.…”
mentioning
confidence: 95%
“…The work in [94]- [97] investigated the DoF region of the MIMO Y channel. In general, it is more difficult to characterize the DoF-region than the total DoF since the DoFregion characterization involves analyzing the asymmetric data transmissions, which necessitates the multi-dimensional DoF analysis.…”
mentioning
confidence: 99%