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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">sibsutis</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник СибГУТИ</journal-title><trans-title-group xml:lang="en"><trans-title>The Herald of the Siberian State University of Telecommunications and Information Science</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6920</issn><publisher><publisher-name>СибГУТИ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.55648/1998-6920-2024-18-4-32-42</article-id><article-id custom-type="elpub" pub-id-type="custom">sibsutis-896</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Исследование влияния эффекта устаревания канала связи на характеристики прекодирования в системе MU-MISO при различной скорости перемещения абонентов</article-title><trans-title-group xml:lang="en"><trans-title>Investigation of the influence of the effect of communication channel aging on the characteristics of precoding in the MU-MISO system at different speeds of movement of subscribers</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1235-6314</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Калачиков</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kalachikov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Калачиков Александр Александрович - к.т.н., доцент кафедры радиотехнических систем,</p><p>630102, Новосибирск, ул. Кирова, д. 86.</p></bio><bio xml:lang="en"><p>Aleksander A. Kalachikov - Сand. of Sci. (Engineering), Lecturer of the Department of Radio Systems,</p><p>86, Kirov St., Novosibirsk, 630102.</p></bio><email xlink:type="simple">kalatch@sibguti.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0002-6875-7061</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Резван</surname><given-names>И. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Rezvan</surname><given-names>I. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Резван Иван Иванович - к.т.н., доцент кафедры радиотехнических систем,</p><p>630102, Новосибирск, ул. Кирова, д. 86.</p></bio><bio xml:lang="en"><p>Ivan I. Rezvan - Сand. of Sci. (Engineering), Lecturer of the Department of Radio Systems, </p><p>86, Kirov St., Novosibirsk, 630102.</p></bio><email xlink:type="simple">rezvan@sibsutis.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7851-3012</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Стенин</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Stenin</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Стенин Александр Владиславович - старший преподаватель кафедры инфокоммуникационных систем и сетей,</p><p>630102, г. Новосибирск, ул. Кирова, д. 86.</p></bio><bio xml:lang="en"><p>Aleksander V. Stenin - Senior Lecturer of the Department of Radio Systems, </p><p>86, Kirov St., Novosibirsk, 630102.</p></bio><email xlink:type="simple">av.stenin@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Сибирский государственный университет телекоммуникаций и информатики (СибГУТИ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Siberian State University of Telecommunications and Information Science (SibSUTIS)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>12</day><month>05</month><year>2024</year></pub-date><volume>18</volume><issue>4</issue><issue-title>Вестник СибГУТИ</issue-title><fpage>32</fpage><lpage>42</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Калачиков А.А., Резван И.И., Стенин А.В., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Калачиков А.А., Резван И.И., Стенин А.В.</copyright-holder><copyright-holder xml:lang="en">Kalachikov A.A., Rezvan I.I., Stenin A.V.</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://vestnik.sibsutis.ru/jour/article/view/896">https://vestnik.sibsutis.ru/jour/article/view/896</self-uri><abstract><p>В статье рассматривается влияние задержек измеренного состояния канала, вызванное перемещением абонентов и связанным с задержками эффектом устаревания канала на характеристики прекодирования на основе метода кодовых книг ДПФ в многопользовательской системе MISO в нисходящем направлении. Оценка канала получена при помощи алгоритма MMSE. В работе рассматривается алгоритм прекодирования на основе кодовых книг и метод, основанный на численной оптимизации для вычисления весовых векторов прекодирования с целью повышения суммарной спектральной эффективности многопользовательской системы.</p><p>Для проведения численного моделирования использовался пакет моделирования радиоканала QUADRIGA, позволяющий получить необходимый объем реализаций канала MISO при перемещении абонентов с различной скоростью. Сравнение полученных характеристик прекодирования сравниваемых алгоритмов в канале с перемещением абонентов и наличием пространственной корреляции выполняется на основе функции распределения средней спектральной эффективности по множеству пользователей.</p></abstract><trans-abstract xml:lang="en"><p>The paper deals with the impact of measured channel state delays caused by subscriber movement and the delay-related effects of channel aging on the performance of DFT codebook precoding in a downstream multi-user MISO system. The channel estimate is obtained using the MMSE algorithm. The paper discusses a precoding algorithm based on codebooks and a method based on numerical optimization for calculating precoding weight vectors in order to increase the total spectral efficiency of a multi-user system.</p><p>To carry out numerical modeling, the QUADRIGA radio channel modeling package was used, which allows us to obtain the required volume of MISO channel implementations when subscribers move at different speeds. A comparison of the obtained precoding characteristics of the compared algorithms in a channel with movement of subscribers and the presence of spatial correlation is performed based on the distribution function of the average spectral efficiency over a set of users.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>5G new radio</kwd><kwd>прекодирование</kwd><kwd>MU-MISO</kwd><kwd>QUADRIGA</kwd><kwd>оценка канала</kwd></kwd-group><kwd-group xml:lang="en"><kwd>5G new radio</kwd><kwd>precoding</kwd><kwd>MU-MISO</kwd><kwd>QUADRIGA</kwd><kwd>channel estimation</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">E. Castaneda, A. Silva, A. Gameiro, and M. Kountouris, An overview on resource allocation techniques for multi-user MIMO systems, IEEE Communications Surveys and Tutorials, vol. 19, no. 1, pp. 239-284, 2017.</mixed-citation><mixed-citation xml:lang="en">E. Castaneda, A. 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