{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:43:04Z","timestamp":1740134584052,"version":"3.37.3"},"reference-count":31,"publisher":"Wiley","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11401485"],"award-info":[{"award-number":["11401485"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"We develop a canonical dual approach for solving the MIMO problem. First, a special linear transformation is introduced to reformulate the original problem into a{<\/mml:mo>\u2212<\/mml:mo>1<\/mml:mn>,<\/mml:mo>1<\/mml:mn><\/mml:mrow>}<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math>constrained quadratic programming problem. Then, we derive a canonical dual problem which is piecewise continuous problem with no duality gap. Under certain conditions, the canonical problem becomes a concave maximization dual problem over a convex feasible domain. By getting the stationary point of the canonical dual problem, we can find either an optimal or approximate solution of the original problem. A gradient decent algorithm is proposed to solve the MIMO problem and simulation results are provided to demonstrate the effectiveness of the method.<\/jats:p>","DOI":"10.1155\/2015\/201369","type":"journal-article","created":{"date-parts":[[2015,4,6]],"date-time":"2015-04-06T06:33:46Z","timestamp":1428302026000},"page":"1-8","source":"Crossref","is-referenced-by-count":1,"title":["MIMO Detection for High Order QAM by Canonical Dual Approach"],"prefix":"10.1155","volume":"2015","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4156-3200","authenticated-orcid":true,"given":"Ye","family":"Tian","sequence":"first","affiliation":[{"name":"School of Business Administration, Southwestern University of Finance and Economics, Chengdu 611130, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1034-677X","authenticated-orcid":true,"given":"Jr-Fong","family":"Dang","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering & Management, National Chiao Tung University, Hsinchu 300, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"2005","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2009.2035798"},{"year":"1998","key":"3"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2003.817444"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/bf01553893"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2004.828067"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2012.2190709"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2010.2059630"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2011.2162180"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2012.2236144"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1109\/msp.2010.938758"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2010.2059493"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/tsp.2005.843746"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1109\/49.942507"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2004.832062"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2005.853044"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1109\/lsp.2006.874443"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2007.060418"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1109\/18.771234"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2011.2159037"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1109\/tsp.2013.2292040"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3176-7"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1023\/b:jogo.0000048034.94449.e3"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2007.3.293"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1080\/10556788.2011.641125"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2013.06.050"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2013.11.013"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2008.4.155"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2008.4.213"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-012-9881-8"},{"year":"2010","key":"32"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/201369.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/201369.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/201369.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T10:16:33Z","timestamp":1471515393000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2015\/201369\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":31,"alternative-id":["201369","201369"],"URL":"https:\/\/doi.org\/10.1155\/2015\/201369","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2015]]}}}