# Expanded GDoF-optimality Regime of Treating Interference as Noise in the $M\times 2$ X-Channel

Handle URI:
http://hdl.handle.net/10754/622758
Title:
Expanded GDoF-optimality Regime of Treating Interference as Noise in the $M\times 2$ X-Channel
Authors:
Gherekhloo, Soheil; Chaaban, Anas ( 0000-0002-8713-5084 ) ; Sezgin, Aydin
Abstract:
Treating interference as noise (TIN) as the most appropriate approach in dealing with interference and the conditions on its optimality has attracted the interest of researchers recently. However, our knowledge on necessary and sufficient conditions of TIN is restricted to a few setups with limited number of users. In this paper, we study the optimality of TIN in terms of the generalized degrees of freedom (GDoF) for a fundamental network, namely, the M× 2 X-channel. To this end, the achievable GDoF of TIN with power allocations at the transmitters is studied. It turns out that the transmit power allocation maximizing the achievable GDOF is given by on-off signaling as long as the receivers use TIN. This leads to two variants of TIN, namely, P2P-TIN and 2-IC-TIN. While in the first variant the M× 2 X-channel is reduced to a point-to-point (P2P) channel, in the second variant, the setup is reduced to a two-user interference channel in which the receivers use TIN. The optimality of these two variants is studied separately. To this end, novel genie-aided upper bounds on the capacity of the X-channel are established. The conditions on the optimality of P2P-TIN can be summarized as follows. P2P-TIN is GDoF-optimal if there exists a dominant multiple access channel or a dominant broadcast channel embedded in the X channel. Furthermore, the necessary and sufficient conditions on the GDoF-optimality of 2-IC-TIN are presented. Interestingly, it turns out that operating the M× 2 X-channel in the 2-IC-TIN mode might be still GDOF optimal, although the conditions given by Geng et al. are violated. However, 2-IC-TIN is sub-optimal if there exists a single interferer which causes sufficiently strong interference at both receivers. The comparison of the results with the state of the art shows that the GDOF optimality of TIN is expanded significantldy.
KAUST Department:
Electrical Engineering Program
Citation:
Gherekhloo S, Chaaban A, Sezgin A (2017) Expanded GDoF-optimality Regime of Treating Interference as Noise in the $M\times 2$ X-Channel. IEEE Transactions on Information Theory 63: 355–376. Available: http://dx.doi.org/10.1109/TIT.2016.2628376.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Information Theory
Issue Date:
14-Nov-2016
DOI:
10.1109/TIT.2016.2628376
Type:
Article
ISSN:
0018-9448; 1557-9654
Sponsors:
This work was supported by the German Research Foundation, Germany, under Grant Se 1697/3.
Additional Links:
http://ieeexplore.ieee.org/document/7742969/
Appears in Collections:
Articles; Electrical Engineering Program

# Full metadata record

DC FieldValue Language
dc.contributor.authorGherekhloo, Soheilen
dc.contributor.authorChaaban, Anasen
dc.contributor.authorSezgin, Aydinen
dc.date.accessioned2017-01-29T13:51:37Z-
dc.date.available2017-01-29T13:51:37Z-
dc.date.issued2016-11-14en
dc.identifier.citationGherekhloo S, Chaaban A, Sezgin A (2017) Expanded GDoF-optimality Regime of Treating Interference as Noise in the $M\times 2$ X-Channel. IEEE Transactions on Information Theory 63: 355–376. Available: http://dx.doi.org/10.1109/TIT.2016.2628376.en
dc.identifier.issn0018-9448en
dc.identifier.issn1557-9654en
dc.identifier.doi10.1109/TIT.2016.2628376en
dc.identifier.urihttp://hdl.handle.net/10754/622758-
dc.description.abstractTreating interference as noise (TIN) as the most appropriate approach in dealing with interference and the conditions on its optimality has attracted the interest of researchers recently. However, our knowledge on necessary and sufficient conditions of TIN is restricted to a few setups with limited number of users. In this paper, we study the optimality of TIN in terms of the generalized degrees of freedom (GDoF) for a fundamental network, namely, the M× 2 X-channel. To this end, the achievable GDoF of TIN with power allocations at the transmitters is studied. It turns out that the transmit power allocation maximizing the achievable GDOF is given by on-off signaling as long as the receivers use TIN. This leads to two variants of TIN, namely, P2P-TIN and 2-IC-TIN. While in the first variant the M× 2 X-channel is reduced to a point-to-point (P2P) channel, in the second variant, the setup is reduced to a two-user interference channel in which the receivers use TIN. The optimality of these two variants is studied separately. To this end, novel genie-aided upper bounds on the capacity of the X-channel are established. The conditions on the optimality of P2P-TIN can be summarized as follows. P2P-TIN is GDoF-optimal if there exists a dominant multiple access channel or a dominant broadcast channel embedded in the X channel. Furthermore, the necessary and sufficient conditions on the GDoF-optimality of 2-IC-TIN are presented. Interestingly, it turns out that operating the M× 2 X-channel in the 2-IC-TIN mode might be still GDOF optimal, although the conditions given by Geng et al. are violated. However, 2-IC-TIN is sub-optimal if there exists a single interferer which causes sufficiently strong interference at both receivers. The comparison of the results with the state of the art shows that the GDOF optimality of TIN is expanded significantldy.en
dc.description.sponsorshipThis work was supported by the German Research Foundation, Germany, under Grant Se 1697/3.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7742969/en
dc.subjectGaussian channelen
dc.subjectgeneralized degrees of freedom (GDoF)en
dc.subjectsumcapacity upper boundsen
dc.subjectTreating interference as noiseen
dc.subjectX-channelen
dc.titleExpanded GDoF-optimality Regime of Treating Interference as Noise in the $M\times 2$ X-Channelen
dc.typeArticleen
dc.contributor.departmentElectrical Engineering Programen
dc.identifier.journalIEEE Transactions on Information Theoryen
dc.contributor.institutionInstitute of Digital Communication Systems, Ruhr-Universität Bochum, Bochum, 44780, Germanyen
dc.contributor.institutionRuhr-Universität Bochum, Bochum, 44780, Germanyen
kaust.authorChaaban, Anasen
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