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In the considered system, the two terminal nodes use spatial modulation to transmit their signals to the relay node during the multiple access phase. Based on the channel quantization method, we propose a low\u2010complexity estimator which can detect both antenna indices and M<\/jats:italic>\u2010QAM symbols using successive interference cancellation (SIC). Moreover, we design signal constellations for a combined signal component at the relay for arbitrary M<\/jats:italic>\u2010QAM modulation. The obtained constellations allow further reduction of the computational complexity of the estimator. Performance evaluations show that the proposed estimator can achieve near\u2010optimal error performance while requiring significantly less computational complexity compared with the maximum\u2010likelihood detector, particularly with high\u2010order modulation.<\/jats:p>","DOI":"10.1155\/2018\/6310519","type":"journal-article","created":{"date-parts":[[2018,10,1]],"date-time":"2018-10-01T23:35:13Z","timestamp":1538436913000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Low\u2010Complexity Estimation for Spatially Modulated Physical\u2010Layer Network Coding Systems"],"prefix":"10.1155","volume":"2018","author":[{"given":"Huu Minh","family":"Nguyen","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8530-9354","authenticated-orcid":false,"given":"Xuan Nam","family":"Tran","sequence":"additional","affiliation":[]},{"given":"Van Bien","family":"Pham","sequence":"additional","affiliation":[]},{"given":"Cong Dinh","family":"Nguyen","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2018,10]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2697426"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2017.2657756"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-com.2015.0572"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2014.2314122"},{"key":"e_1_2_10_5_2","doi-asserted-by":"crossref","unstructured":"PopovskiP.andYomoH. 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