{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T16:44:17Z","timestamp":1779295457268,"version":"3.51.4"},"reference-count":22,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2010,12,1]],"date-time":"2010-12-01T00:00:00Z","timestamp":1291161600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2010,12]]},"DOI":"10.1109\/tit.2010.2080830","type":"journal-article","created":{"date-parts":[[2010,11,30]],"date-time":"2010-11-30T21:08:54Z","timestamp":1291151334000},"page":"6040-6057","source":"Crossref","is-referenced-by-count":322,"title":["Degrees of Freedom of the $K$ User $M \\times N$ MIMO Interference Channel"],"prefix":"10.1109","volume":"56","author":[{"given":"Tiangao","family":"Gou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Syed A.","family":"Jafar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"crossref","DOI":"10.1109\/TIT.2007.911178","article-title":"new outer bounds on the capacity region of gaussian interference channels","author":"shang","year":"2008","journal-title":"Proc IEEE Int Symp Information Theory"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.2004.1405330"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2008.4797626"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.928095"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2005.1523709"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2006.262087"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"3425","DOI":"10.1109\/TIT.2008.926344","article-title":"interference alignment and degrees of freedom of the <formula formulatype=\"inline\"><tex notation=\"tex\">$k$<\/tex> <\/formula>-user interference channel","volume":"54","author":"cadambe","year":"2008","journal-title":"IEEE Trans Inform Theory"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1109\/TIT.2007.911262","article-title":"degrees of freedom region for the mimo x channel","volume":"54","author":"jafar","year":"2008","journal-title":"IEEE Trans Inform Theory"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2025541"},{"key":"ref19","author":"motahari","year":"2009","journal-title":"Real interference alignment with real numbers"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1985.1057085"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1981.1056307"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1983.1056697"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1977.1055710"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.2006447"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.825249"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1981.1056416"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1975.1055432"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557654"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/GLOCOM.2008.ECP.817"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.2008116"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2030473"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/18\/5625612\/05625614.pdf?arnumber=5625614","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T00:47:45Z","timestamp":1633913265000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5625614\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12]]},"references-count":22,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2010.2080830","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12]]}}}