{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:51:28Z","timestamp":1760233888507,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,3,1]],"date-time":"2021-03-01T00:00:00Z","timestamp":1614556800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["313239\/2017-7","304946\/2016-8"],"award-info":[{"award-number":["313239\/2017-7","304946\/2016-8"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This work considers a base station equipped with an M-antenna uniform linear array and L users under line-of-sight conditions. As a result, one can derive an exact series expansion necessary to calculate the mean sum-rate channel capacity. This scenario leads to a mathematical problem where the joint probability density function (JPDF) of the eigenvalues of a Vandermonde matrix WWH are necessary, where W is the channel matrix. However, differently from the channel Rayleigh distributed, this joint PDF is not known in the literature. To circumvent this problem, we employ Taylor\u2019s series expansion and present a result where the moments of mn are computed. To calculate this quantity, we resort to the integer partition theory and present an exact expression for mn. Furthermore, we also find an upper bound for the mean sum-rate capacity through Jensen\u2019s inequality. All the results were validated by Monte Carlo numerical simulation.<\/jats:p>","DOI":"10.3390\/s21051674","type":"journal-article","created":{"date-parts":[[2021,3,1]],"date-time":"2021-03-01T03:35:40Z","timestamp":1614569740000},"page":"1674","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Sum-Rate Channel Capacity for Line-of-Sight Models"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0490-3330","authenticated-orcid":false,"given":"Claudio Ferreira","family":"Dias","sequence":"first","affiliation":[{"name":"Instituto de Pesquisas Eldorado, Campinas 13083-898, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2167-7286","authenticated-orcid":false,"given":"Felipe A. P.","family":"de Figueiredo","sequence":"additional","affiliation":[{"name":"Instituto Nacional de Telecomunica\u00e7\u00f5es, Santa Rita do Sapuca\u00ed 37540-000, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eduardo Rodrigues","family":"de Lima","sequence":"additional","affiliation":[{"name":"Instituto de Pesquisas Eldorado, Campinas 13083-898, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0517-1496","authenticated-orcid":false,"given":"Gustavo","family":"Fraidenraich","sequence":"additional","affiliation":[{"name":"DECOM\/FEEC\/UNICAMP, State University of Campinas, Campinas 13083-852, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,3,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1002\/ett.4460100604","article-title":"Capacity of Multi-antenna Gaussian Channels","volume":"10","author":"Telatar","year":"1999","journal-title":"Trans. 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