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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">mireabulletin</journal-id><journal-title-group><journal-title xml:lang="ru">Russian Technological Journal</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Technological Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-3210</issn><issn pub-type="epub">2500-316X</issn><publisher><publisher-name>RTU MIREA</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32362/2500-316X-2025-13-1-68-75</article-id><article-id custom-type="edn" pub-id-type="custom">LSCIAO</article-id><article-id custom-type="elpub" pub-id-type="custom">mireabulletin-1074</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>СОВРЕМЕННЫЕ РАДИОТЕХНИЧЕСКИЕ И ТЕЛЕКОММУНИКАЦИОННЫЕ СИСТЕМЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MODERN RADIO ENGINEERING AND TELECOMMUNICATION SYSTEMS</subject></subj-group></article-categories><title-group><article-title>Разбиение множества базовых станций локальной системы позиционирования на пересекающиеся группы</article-title><trans-title-group xml:lang="en"><trans-title>Formation of a database of auxiliary information for positioning in an environment with heterogeneous radio transparency</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-2710-0128</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Крижановский</surname><given-names>М. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Krizhanovsky</surname><given-names>Mikhail N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Крижановский Михаил Николаевич, ассистент, кафедра радиоэлектронных систем и комплексов, Институт радиоэлектроники и информатики,</p><p>119454, Москва, пр-т Вернадского, д. 78. </p></bio><bio xml:lang="en"><p>Mikhail N. Krizhanovsky, Assistant, Department of Radio Electronic Systems and Complexes, Institute of Radio Electronics and Informatics, </p><p>78, Vernadskogo pr., Moscow, 119454.</p></bio><email xlink:type="simple">krizhanovskij@mirea.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/0009-0009-4013-9182</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тихонова</surname><given-names>О. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Tikhonova</surname><given-names>Olga V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Тихонова Ольга Вадимовна, д.т.н., старший научный сотрудник, профессор, кафедра радиоэлектронных систем и комплексов, Институт радиоэлектроники и информатики,</p><p>119454, Россия, Москва, пр-т Вернадского, д. 78.</p><p>Scopus AuthorID: 57208923772.</p></bio><bio xml:lang="en"><p>Olga V. Tikhonova, Dr. Sci. (Eng.), Senior Researcher, Professor, Department of Radio Electronic Systems and Complexes, Institute of Radio Electronics and Informatics,</p><p>78, Vernadskogo pr., Moscow, 119454.</p><p>Scopus AuthorID: 57208923772.</p></bio><email xlink:type="simple">o_tikhonova@inbox.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ФГБОУ ВО «МИРЭА – Российский технологический университет»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>MIREA – Russian Technological University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>04</day><month>02</month><year>2025</year></pub-date><volume>13</volume><issue>1</issue><fpage>68</fpage><lpage>75</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Крижановский М.Н., Тихонова О.Н., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Крижановский М.Н., Тихонова О.Н.</copyright-holder><copyright-holder xml:lang="en">Krizhanovsky M.N., Tikhonova O.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://www.rtj-mirea.ru/jour/article/view/1074">https://www.rtj-mirea.ru/jour/article/view/1074</self-uri><abstract><sec><title>Цели</title><p>Цели. Актуальной проблемой систем локального позиционирования при отсутствии доступа к глобальным навигационным спутниковым системам является низкая точность позиционирования, связанная, как правило, с неравномерным покрытием рабочей зоны в связи с ее геометрическими особенностями или наличием в ее пределах массивных препятствий и стен. Обычно эта проблема решается путем размещения в рабочей зоне избыточного числа базовых станций системы позиционирования. Подобный подход порождает высокую стоимость таких систем, что в свою очередь препятствует их распространению. Поэтому исследования и разработки, направленные на повышение точности локальных систем позиционирования при использовании минимального числа станций, имеют большую актуальность. Ранее автором был предложен метод повышения точности локального позиционирования путем учета препятствий, известных на этапе проектирования системы. Учет таких препятствий при расчете местоположения реализуется за счет механизма предварительного разбиения радиомаяков на группы и выделения опорных станций этих групп среди базовых станций. Целью работы является усовершенствование этого алгоритма за счет автоматизации этапа подготовки информации о группировке станций.</p></sec><sec><title>Методы</title><p>Методы. Использован метод компьютерного моделирования для подтверждения работоспособности алгоритма разбиения станций системы позиционирования на пересекающиеся группы.</p></sec><sec><title>Результаты</title><p>Результаты. Разработаны критерии автогруппировки станций и универсальный алгоритм разбиения станций на группы, позволяющий в автоматизированном режиме подготовить минимально необходимые начальные данные для программы, реализующей алгоритм позиционирования в зоне неоднородной радиопрозрачности.</p></sec><sec><title>Выводы</title><p>Выводы. Моделирование предложенного алгоритма подтвердило его работоспособность. Полученные результаты могут использоваться как существенное дополнение к предложенному ранее алгоритму учета препятствий при расчете расстояний до базовых станций.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Objectives</title><p>Objectives. A pressing problem for indoor positioning systems in the absence of access to global navigation satellite systems is low positioning accuracy. This is usually associated with uneven coverage of the work area due to its geometric features or the presence of massive obstacles and walls within its boundaries. This problem is frequently resolved by placing an excessive number of positioning system base stations in the work area. This approach generates a high cost for such systems, which in turn prevents their deployment. Therefore, research and development aimed at improving the accuracy of indoor positioning systems using a minimum number of stations is of great relevance. The author previously proposed a method of increasing the accuracy of indoor positioning by taking into account obstacles known at the design stage of the system. Consideration of such obstacles in calculating the location is achieved through the mechanism of preliminary splitting of radio beacons into groups, and the allocation of reference stations of these groups among the base stations. The aim of the work is to improve this algorithm by automating the stage of preparing information about the grouping of stations.</p></sec><sec><title>Methods</title><p>Methods. A computer simulation method was used, in order to confirm the operability of the algorithm to divide the stations of the positioning system into overlapping groups.</p></sec><sec><title>Results</title><p>Results. The criteria for automatic station grouping and a universal algorithm for dividing stations into groups were developed, enabling the automated preparation of the minimum necessary initial data for a program implementing an algorithm for positioning in a zone of heterogeneous radio transparency.</p></sec><sec><title>Conclusions</title><p>Conclusions. Modeling of the proposed algorithm has confirmed its operability. The results obtained can be used as a significant addition to the previously proposed algorithm for taking into account obstacles when calculating distances to base stations.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>локальные системы позиционирования</kwd><kwd>алгоритм группировки станций</kwd><kwd>RSSI</kwd><kwd>трилатерация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>indoor positioning systems</kwd><kwd>station grouping algorithm</kwd><kwd>RSSI</kwd><kwd>trilateration</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">Ninh D.B., He J., Trung V.T., Huy D.P. An effective random statistical method for Indoor Positioning System using WiFi fingerprinting. Future Gener. Comput. Syst. 2020;109:238–248. https://doi.org/10.1016/j.future.2020.03.043</mixed-citation><mixed-citation xml:lang="en">Ninh D.B., He J., Trung V.T., Huy D.P. 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