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In this paper, performance analysis of the irregular repetition slotted ALOHA systems with short-packet, i.e. finite-blocklength, transmission for the quasi-static Rayleigh fading channel is given. A cumulative distribution function of signal-to-interference power ratio (SIR) is derived and thus a closed-form expression of an average packet error probability (PEP) at the SIR with short packets for the Rayleigh fading channel is given. The closed-form expression makes it possible to optimize the degree distributions at a specific blocklength in the sense that the systems give the maximum system load. <\/jats:p>","DOI":"10.1142\/s0218001422590169","type":"journal-article","created":{"date-parts":[[2022,5,24]],"date-time":"2022-05-24T10:41:27Z","timestamp":1653388887000},"source":"Crossref","is-referenced-by-count":3,"title":["Short-Packet Transmission in Irregular Repetition Slotted ALOHA System Over the Rayleigh Fading Channel"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2648-7449","authenticated-orcid":false,"given":"Ni","family":"Tian","sequence":"first","affiliation":[{"name":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, Shaanxi 710071, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3352-9392","authenticated-orcid":false,"given":"Xuelian","family":"Cai","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, Shaanxi 710071, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Cheng","sequence":"additional","affiliation":[{"name":"Department of Intelligent Information Engineering and Science, Doshisha University, Kyoto 6008586, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenwei","family":"Yue","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, Shaanxi 710071, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maofeng","family":"Luo","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, Shaanxi 710071, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,6,20]]},"reference":[{"key":"S0218001422590169BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/IDAP.2018.8620825"},{"key":"S0218001422590169BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2007.348337"},{"key":"S0218001422590169BIB003","first-page":"1","volume-title":"Proc.1st 6G Wireless Summit","author":"Clazzer F.","year":"2019"},{"key":"S0218001422590169BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/ICC.2017.7996796"},{"key":"S0218001422590169BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.adhoc.2018.10.001"},{"key":"S0218001422590169BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2016.2537298"},{"key":"S0218001422590169BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/WONS.2013.6578348"},{"key":"S0218001422590169BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2018.2812845"},{"key":"S0218001422590169BIB009","doi-asserted-by":"publisher","DOI":"10.1109\/GCWkshps50303.2020.9367439"},{"key":"S0218001422590169BIB010","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.2986398"},{"key":"S0218001422590169BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2010.120710.100054"},{"key":"S0218001422590169BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/LWC.2014.2353059"},{"key":"S0218001422590169BIB013","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2018.2804175"},{"key":"S0218001422590169BIB014","doi-asserted-by":"publisher","DOI":"10.1109\/ICCW.2015.7247494"},{"key":"S0218001422590169BIB015","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2492579"},{"key":"S0218001422590169BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2043769"},{"volume-title":"Digital Communications","year":"2008","author":"Proakis J. 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