On the Optimality of Treating Interference as Noise: General Message Sets
In a K-user Gaussian interference channel, it has been shown that if for each user the desired signal strength is no less than the sum of the strengths of the strongest interference from this user and the strongest interference to this user (all values in decibel scale), then treating interference a...
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| Veröffentlicht in: | IEEE transactions on information theory 2015-07, Vol.61 (7), p.3722-3736 |
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| container_title | IEEE transactions on information theory |
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| creator | Chunhua Geng Hua Sun Jafar, Syed Ali |
| description | In a K-user Gaussian interference channel, it has been shown that if for each user the desired signal strength is no less than the sum of the strengths of the strongest interference from this user and the strongest interference to this user (all values in decibel scale), then treating interference as noise (TIN) is optimal from the perspective of generalized degrees of freedom (GDoF) and achieves the entire channel capacity region to within a constant gap. In this paper, we show that for such TINoptimal interference channels, even if the message set is expanded to include an independent message from each transmitter to each receiver, operating the new channel as the original interference channel and treating interference as noise is still optimal for the sum capacity up to a constant gap. Furthermore, we extend the result to the sum-GDoF optimality of TIN in the general setting of X channels with arbitrary numbers of transmitters and receivers. |
| doi_str_mv | 10.1109/TIT.2015.2432751 |
| format | Article |
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In this paper, we show that for such TINoptimal interference channels, even if the message set is expanded to include an independent message from each transmitter to each receiver, operating the new channel as the original interference channel and treating interference as noise is still optimal for the sum capacity up to a constant gap. Furthermore, we extend the result to the sum-GDoF optimality of TIN in the general setting of X channels with arbitrary numbers of transmitters and receivers.</description><identifier>ISSN: 0018-9448</identifier><identifier>EISSN: 1557-9654</identifier><identifier>DOI: 10.1109/TIT.2015.2432751</identifier><identifier>CODEN: IETTAW</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Channel capacity ; Electric noise ; Gaussian networks ; generalized degrees of freedom (GDoF) ; Interference channels ; Noise ; Normal distribution ; Optimization ; Receivers ; Receivers & amplifiers ; sum capacity ; Tin ; Transmitters ; treating interference as noise (TIN) ; X channels</subject><ispartof>IEEE transactions on information theory, 2015-07, Vol.61 (7), p.3722-3736</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Jul 2015</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c333t-32644c29be48a65ecf20b9cb1e3f6f32b68f062c597895a9ea9348de9fdbbeed3</citedby><cites>FETCH-LOGICAL-c333t-32644c29be48a65ecf20b9cb1e3f6f32b68f062c597895a9ea9348de9fdbbeed3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/7106540$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/7106540$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Chunhua Geng</creatorcontrib><creatorcontrib>Hua Sun</creatorcontrib><creatorcontrib>Jafar, Syed Ali</creatorcontrib><title>On the Optimality of Treating Interference as Noise: General Message Sets</title><title>IEEE transactions on information theory</title><addtitle>TIT</addtitle><description>In a K-user Gaussian interference channel, it has been shown that if for each user the desired signal strength is no less than the sum of the strengths of the strongest interference from this user and the strongest interference to this user (all values in decibel scale), then treating interference as noise (TIN) is optimal from the perspective of generalized degrees of freedom (GDoF) and achieves the entire channel capacity region to within a constant gap. In this paper, we show that for such TINoptimal interference channels, even if the message set is expanded to include an independent message from each transmitter to each receiver, operating the new channel as the original interference channel and treating interference as noise is still optimal for the sum capacity up to a constant gap. Furthermore, we extend the result to the sum-GDoF optimality of TIN in the general setting of X channels with arbitrary numbers of transmitters and receivers.</description><subject>Channel capacity</subject><subject>Electric noise</subject><subject>Gaussian networks</subject><subject>generalized degrees of freedom (GDoF)</subject><subject>Interference channels</subject><subject>Noise</subject><subject>Normal distribution</subject><subject>Optimization</subject><subject>Receivers</subject><subject>Receivers & amplifiers</subject><subject>sum capacity</subject><subject>Tin</subject><subject>Transmitters</subject><subject>treating interference as noise (TIN)</subject><subject>X channels</subject><issn>0018-9448</issn><issn>1557-9654</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1LAzEQhoMoWKt3wUvA89Z878abFK0L1R5czyGbTuqWuluT9NB_35QWT8PA877DPAjdUzKhlOinpm4mjFA5YYKzUtILNKJSloVWUlyiESG0KrQQ1TW6iXGdVyEpG6F60eP0A3ixTd2v3XRpjwePmwA2df0K132C4CFA7wDbiD-HLsIznkEPwW7wB8RoV4C_IMVbdOXtJsLdeY7R99trM30v5otZPX2ZF45zngrOlBCO6RZEZZUE5xlptWspcK88Z62qPFHMSV1WWloNVnNRLUH7ZdsCLPkYPZ56t2H420FMZj3sQp9PGqo0UZUQrMwUOVEuDDEG8GYb8oNhbygxR2EmCzNHYeYsLEceTpEOAP7xkpJskPADnu9mWw</recordid><startdate>201507</startdate><enddate>201507</enddate><creator>Chunhua Geng</creator><creator>Hua Sun</creator><creator>Jafar, Syed Ali</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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In this paper, we show that for such TINoptimal interference channels, even if the message set is expanded to include an independent message from each transmitter to each receiver, operating the new channel as the original interference channel and treating interference as noise is still optimal for the sum capacity up to a constant gap. Furthermore, we extend the result to the sum-GDoF optimality of TIN in the general setting of X channels with arbitrary numbers of transmitters and receivers.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TIT.2015.2432751</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Channel capacity Electric noise Gaussian networks generalized degrees of freedom (GDoF) Interference channels Noise Normal distribution Optimization Receivers Receivers & amplifiers sum capacity Tin Transmitters treating interference as noise (TIN) X channels |
| title | On the Optimality of Treating Interference as Noise: General Message Sets |
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