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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">bsuir</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады БГУИР</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady BGUIR</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1729-7648</issn><issn pub-type="epub">2708-0382</issn><publisher><publisher-name>БГУИР</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.35596/1729-7648-2022-20-2-53-61</article-id><article-id custom-type="elpub" pub-id-type="custom">bsuir-3311</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ЭЛЕКТРОНИКА, РАДИОФИЗИКА, РАДИОТЕХНИКА, ИНФОРМАТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRONICS, RADIOPHYSICS, RADIOENGINEERING, INFORMATICS</subject></subj-group></article-categories><title-group><article-title>Аппроксимация пропускной способности для систем с множеством передающих и приемных антенн</article-title><trans-title-group xml:lang="en"><trans-title>Approximation of Capacity in MIMO Systems</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тузлуков</surname><given-names>В. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Tuzlukov</surname><given-names>V. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Тузлуков Вячеслав Петрович - д.ф.-м.н., профессор, заведующий кафедрой технической эксплуатации авиационного и радиоэлектронного оборудования</p><p>220096, г. Минск, ул. Уборевича, 77</p></bio><bio xml:lang="en"><p>Tuzlukov Vyacheslav Petrovich - Dr. of Sci., Professor, Head of the Department of Technical Maintenance of Aviation and Radio Electronic Equipment</p><p>220096, Minsk, Uborevich st., 77</p></bio><email xlink:type="simple">slava.tuzlukov@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусская государственная академия авиации</institution></aff><aff xml:lang="en"><institution>Belarussian State Aviation Academy</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>05</day><month>04</month><year>2022</year></pub-date><volume>20</volume><issue>2</issue><fpage>53</fpage><lpage>61</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Тузлуков В.П., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Тузлуков В.П.</copyright-holder><copyright-holder xml:lang="en">Tuzlukov V.P.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://doklady.bsuir.by/jour/article/view/3311">https://doklady.bsuir.by/jour/article/view/3311</self-uri><abstract><p>В настоящей работе рассматриваются возможные аппроксимации пропускной способности систем с множеством передающих и приемных антенн при наличии рэлеевских замираний в канале связи. Эти аппроксимации позволяют решить проблему оптимизации размещения ресурсов в радиосетях и других системах, используемых при обмене информацией, например, в системах контроля полета беспилотных летательных аппаратов. Предлагается аналитическая оценка точности определения пропускной способности при использовании предлагаемых аппроксимаций и демонстрируется точное совпадение с аналитическим определением пропускной способности.</p></abstract><trans-abstract xml:lang="en"><p>This paper introduces functional approximations to the MIMO capacity over flat Rayleigh fading channels, which allow for analytical solutions to network resource optimization problems. This approximation allows to solve the problem of resource allocation optimization in radio networks and in other systems used to transfer information. The precision of the suggested approximations is assessed and is shown to provide a very close match to the exact capacity expression.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>пропускная способность</kwd><kwd>канал связи</kwd><kwd>система с множеством передающих и приемных антенн</kwd></kwd-group><kwd-group xml:lang="en"><kwd>bandwidth</kwd><kwd>channel capacity</kwd><kwd>multiple-input multiple-output (MIMO) system</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Foschini G.J. and Gans M.J. On limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications.1998;6(5):311-335.</mixed-citation><mixed-citation xml:lang="en">Foschini G.J. and Gans M.J. On limits of wireless communications in a fading environment when using multiple antennas. 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