{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:49:39Z","timestamp":1753886979420,"version":"3.41.2"},"reference-count":17,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,5,3]],"date-time":"2018-05-03T00:00:00Z","timestamp":1525305600000},"content-version":"vor","delay-in-days":122,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61761030","61661028","61701214","61461030","61661032"],"award-info":[{"award-number":["61761030","61661028","61701214","61461030","61661032"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2017M622103"],"award-info":[{"award-number":["2017M622103"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Wireless Communications and Mobile Computing"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>This paper is devoted to an investigation of an exact average symbol error probability (SEP) for amplify and forward (AF) relaying in independent Nakagami\u2010<jats:italic>m<\/jats:italic> fading environments with a nonnegative integer plus one\u2010half <jats:italic>m<\/jats:italic>, which covers many actual scenarios, such as one\u2010side Gaussian distribution (<jats:italic>m<\/jats:italic> = 0.5). Using moment generating function approach, the closed\u2010form SEP is expressed in the form of Lauricella multivariate hypergeometric function. Four modulation modes are considered: rectangular quadrature amplitude modulation (QAM), <jats:italic>M<\/jats:italic>\u2010ary phase shift keying (MPSK), <jats:italic>M<\/jats:italic>\u2010ary differential phase shift keying (MDPSK), and <jats:italic>\u03c0<\/jats:italic>\/4 differential quaternary phase shift keying (DQPSK). The result is very simple and general for a nonnegative integer plus one\u2010half <jats:italic>m<\/jats:italic>, which covers the same range as integer <jats:italic>m<\/jats:italic>. The tightness of theoretical analysis is confirmed by computer simulation results.<\/jats:p>","DOI":"10.1155\/2018\/6581827","type":"journal-article","created":{"date-parts":[[2018,5,3]],"date-time":"2018-05-03T23:39:03Z","timestamp":1525390743000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Average SEP of AF Relaying in Nakagami\u2010<i>m<\/i> Fading Environments"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9210-9067","authenticated-orcid":false,"given":"Dong","family":"Qin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8445-0361","authenticated-orcid":false,"given":"Yuhao","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3176-0358","authenticated-orcid":false,"given":"Tianqing","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,5,3]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2011.062311.100040"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2014.2333417"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2009.081411"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2008.071922"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2010.080610.100443"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2010.071410.090974"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2010.091010.101221"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2009.1581"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2010.2155"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2010.111910.101683"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2012.051512.120659"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2011.080111.090524"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2008.061086"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2011.011111.101141"},{"volume-title":"Tables of Integrals, Series and Products","year":"2007","author":"Gradshteyn I. 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