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Through the partial relay selection method, the selection of \nth best relay (BR) is performed among \n amplify and forward (AF) relays, which can harvest energy from radio frequency signals. At the receiver, the selection combining scheme is considered to select between the signals of \nth best relaying path and the direct path. For this considered system, we compute the closed\u2010form expressions of outage probability (OP) and the average symbol error rate (ASER) for higher order quadrature amplitude modulation (QAM) techniques, especially for rectangular QAM, cross QAM, and hexagonal QAM. Further, a new moment\u2010generating function expression is obtained which is used to derive the ASER expression related to the generalized non\u2010coherent modulation technique. We also give the asymptotic expression of OP to find out the diversity order. Furthermore, we study the effect of fading parameters, \nth BR, and other factors on system behavior. Finally, we verify the derived expressions with Monte Carlo simulations.<\/jats:p>","DOI":"10.1002\/dac.5564","type":"journal-article","created":{"date-parts":[[2023,7,6]],"date-time":"2023-07-06T05:12:00Z","timestamp":1688620320000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["On the performance of energy harvesting\u2010assisted <i>N<\/i>th best relay cooperative networks in Nakagami\u2010<i>m<\/i> fading"],"prefix":"10.1002","volume":"36","author":[{"given":"Raghwendra K.","family":"Singh","sequence":"first","affiliation":[{"name":"ECE Department NIT Jamshedpur  Jamshedpur Jharkhand India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/2.zoppoz.workers.dev:443\/https\/orcid.org\/0000-0002-7376-308X","authenticated-orcid":false,"given":"Nagendra","family":"Kumar","sequence":"additional","affiliation":[{"name":"ECE Department NIT Jamshedpur  Jamshedpur Jharkhand India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/2.zoppoz.workers.dev:443\/https\/orcid.org\/0000-0002-9845-7337","authenticated-orcid":false,"given":"Dharmendra","family":"Dixit","sequence":"additional","affiliation":[{"name":"Electronics Engineering Department Rajkiya Engineering College  Sonbhadra Uttar Pradesh India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2023,7,5]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_8_2_1","DOI":"10.1109\/ACCESS.2019.2895645"},{"doi-asserted-by":"publisher","key":"e_1_2_8_3_1","DOI":"10.1109\/TVT.2020.2964809"},{"doi-asserted-by":"publisher","key":"e_1_2_8_4_1","DOI":"10.1109\/ACCESS.2021.3065500"},{"doi-asserted-by":"publisher","key":"e_1_2_8_5_1","DOI":"10.1109\/TIT.2004.838089"},{"doi-asserted-by":"publisher","key":"e_1_2_8_6_1","DOI":"10.1109\/TWC.2007.06020050"},{"doi-asserted-by":"publisher","key":"e_1_2_8_7_1","DOI":"10.1109\/TCOMM.2012.010313.100669"},{"doi-asserted-by":"publisher","key":"e_1_2_8_8_1","DOI":"10.1109\/TVT.2005.851319"},{"doi-asserted-by":"publisher","key":"e_1_2_8_9_1","DOI":"10.1109\/TCOMM.2012.12.100671"},{"doi-asserted-by":"publisher","key":"e_1_2_8_10_1","DOI":"10.1109\/TCOMM.2015.2396517"},{"doi-asserted-by":"publisher","key":"e_1_2_8_11_1","DOI":"10.1109\/TCOMM.2017.2762671"},{"doi-asserted-by":"publisher","key":"e_1_2_8_12_1","DOI":"10.1109\/OJCOMS.2021.3067384"},{"doi-asserted-by":"publisher","key":"e_1_2_8_13_1","DOI":"10.1109\/LCOMM.2014.2315616"},{"volume-title":"Wireless Communications: Principles and Practice","year":"1996","author":"Rappaport TS","key":"e_1_2_8_14_1"},{"doi-asserted-by":"publisher","key":"e_1_2_8_15_1","DOI":"10.1002\/0471715220"},{"doi-asserted-by":"publisher","key":"e_1_2_8_16_1","DOI":"10.1109\/LCOMM.2021.3058212"},{"doi-asserted-by":"publisher","key":"e_1_2_8_17_1","DOI":"10.1109\/LCOMM.2016.2574343"},{"doi-asserted-by":"publisher","key":"e_1_2_8_18_1","DOI":"10.1109\/TGCN.2018.2856363"},{"doi-asserted-by":"publisher","key":"e_1_2_8_19_1","DOI":"10.1109\/TVT.2019.2925736"},{"doi-asserted-by":"publisher","key":"e_1_2_8_20_1","DOI":"10.1109\/TGCN.2020.3035512"},{"doi-asserted-by":"publisher","key":"e_1_2_8_21_1","DOI":"10.1007\/s11277-020-07522-9"},{"doi-asserted-by":"publisher","key":"e_1_2_8_22_1","DOI":"10.1109\/LCOMM.2018.2808960"},{"doi-asserted-by":"publisher","key":"e_1_2_8_23_1","DOI":"10.1109\/ACCESS.2019.2960819"},{"key":"e_1_2_8_24_1","article-title":"Outage analysis in SWIPT\u2010based decode\u2010and\u2010forward relay networks with partial relay selection","volume":"2021","author":"Tin PT","year":"2021","journal-title":"Model Simul Eng"},{"doi-asserted-by":"publisher","key":"e_1_2_8_25_1","DOI":"10.1016\/j.aeue.2020.153244"},{"doi-asserted-by":"publisher","key":"e_1_2_8_26_1","DOI":"10.1109\/TVT.2022.3185791"},{"issue":"2","key":"e_1_2_8_27_1","first-page":"1317","article-title":"Joint energy harvest and information transfer for energy beamforming in backscatter multiuser networks","volume":"69","author":"Ma W","year":"2020","journal-title":"IEEE Trans Commun"},{"doi-asserted-by":"publisher","key":"e_1_2_8_28_1","DOI":"10.1007\/s11107-018-0760-1"},{"doi-asserted-by":"crossref","unstructured":"LiuX YangL ChenJ ZhengF.On the performance of nth best relay selection scheme for NOMA\u2010based cooperative relaying networks with SWIPT. 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