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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">gyroscopy</journal-id><journal-title-group><journal-title xml:lang="ru">Гироскопия и навигация</journal-title><trans-title-group xml:lang="en"><trans-title>Giroskopiya i Navigatsiya / Gyroscopy and Navigation</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7035</issn><issn pub-type="epub">2075-0927</issn><publisher><publisher-name>AO «Концерн «ЦНИИ «Электроприбор»</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-145</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>Автономный контроль целостности навигационного поля для комбинаций GPS/BeiDou/Galileo</article-title><trans-title-group xml:lang="en"><trans-title>RAIM Availability of GPS/BDS/Galileo Multi-Frequency Combination</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0007-0615-1589</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ли</surname><given-names>Чжаоянь</given-names></name><name name-style="western" xml:lang="en"><surname>Li</surname><given-names>Zhaoyan</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ли Чжаоянь. Аспирант, Национальный центр службы времени, Китайская академия наук</p><p>Сиань</p><p>Пекин</p></bio><bio xml:lang="en"><p>Li Zhaoyan</p><p>Xi’an</p><p>Beijing</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0004-1232-8465</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Фань</surname><given-names>Лихун</given-names></name><name name-style="western" xml:lang="en"><surname>Fan</surname><given-names>Lihong</given-names></name></name-alternatives><bio xml:lang="ru"><p>Фань Лихун. Доктор наук, младший научный сотрудник</p><p>Пекин</p></bio><bio xml:lang="en"><p>Fan Lihong</p><p>Xi’an</p><p>Beijing</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8489-339X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Цзоу</surname><given-names>Дэцай</given-names></name><name name-style="western" xml:lang="en"><surname>Zou</surname><given-names>Decai</given-names></name></name-alternatives><bio xml:lang="ru"><p>Цзоу Дэцай. Доктор наук, научный сотрудник</p><p>Пекин</p></bio><bio xml:lang="en"><p>Zou Decai</p><p>Xi’an</p><p>Beijing</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4706-5373</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ту</surname><given-names>Жуй</given-names></name><name name-style="western" xml:lang="en"><surname>Tu</surname><given-names>Rui</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ту Жуй. Профессор</p><p>Циндао</p></bio><bio xml:lang="en"><p>Zhang Rui</p><p>Qingdao</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8489-339X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чжан</surname><given-names>Жуй</given-names></name><name name-style="western" xml:lang="en"><surname>Zhang</surname><given-names>Rui</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чжан Жуй. Доктор наук, младший научный сотрудник</p><p>Пекин</p></bio><bio xml:lang="en"><p>Zhang Rui</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8707-9297</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хань</surname><given-names>Цзюньцян</given-names></name><name name-style="western" xml:lang="en"><surname>Han</surname><given-names>Junqiang</given-names></name></name-alternatives><bio xml:lang="ru"><p>Хань Цзюньцян. Доктор наук, младший научный сотрудник</p><p>Пекин</p></bio><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1549-2672</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ван</surname><given-names>Сыяо</given-names></name><name name-style="western" xml:lang="en"><surname>Wang</surname><given-names>Siyao</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ван Сыяо. Доктор наук, младший научный сотрудник</p><p>Пекин</p></bio><bio xml:lang="en"><p>Wang Siyao</p></bio><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0000-3155-3933</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дун</surname><given-names>Жунжун</given-names></name><name name-style="western" xml:lang="en"><surname>Dong</surname><given-names>Rongrong</given-names></name></name-alternatives><bio xml:lang="ru"><p>Дун Жунжун. Аспирант</p><p>Пекин</p></bio><bio xml:lang="en"><p>Dong Rongrong</p></bio><xref ref-type="aff" rid="aff-5"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный центр службы времени, Китайская академия наук; Университет Китайской академии наук</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Time Service Center, Chinese Academy of Sciences; University of Chinese Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Национальный центр службы времени, Китайкая академия наук; Университет Китайской академии наук</institution><country>Китай</country></aff><aff xml:lang="en"><institution>National Time Service Center, Chinese Academy of Sciences; University of Chinese Academy of Sciences</institution><country>China</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Колледж геоматики, Шаньдунский университет науки и технологий</institution><country>Китай</country></aff><aff xml:lang="en"><institution>College of Geomatics of Shandong University of Science and Technology</institution><country>China</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Национальный центр службы времени, Китайская академия наук</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Time Service Center, Chinese Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-5"><aff xml:lang="ru"><institution>Национальный центр службы времени, Китайская академия наук; Университет Китайской академии наук</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Time Service Center, Chinese Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>30</day><month>07</month><year>2025</year></pub-date><volume>33</volume><issue>2</issue><fpage>72</fpage><lpage>90</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ли Ч., Фань Л., Цзоу Д., Ту Ж., Чжан Ж., Хань Ц., Ван С., Дун Ж., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Ли Ч., Фань Л., Цзоу Д., Ту Ж., Чжан Ж., Хань Ц., Ван С., Дун Ж.</copyright-holder><copyright-holder xml:lang="en">Li Z., Fan L., Zou D., Tu R., Zhang R., Han J., Wang S., Dong R.</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.gyroscopy.ru/jour/article/view/145">https://www.gyroscopy.ru/jour/article/view/145</self-uri><abstract><p>В таких сферах, как, например, гражданская авиация, где критическую роль играет безопасность, применяются алгоритмы автономного контроля целостности (Receiver Autonomous Integrity Monitoring – RAIM) навигационного поля на этапах полета на эшелоне и неточного захода на посадку. Для повышения качества работы RAIM все чаще привлекаются глобальные навигационные спутниковые системы (ГНСС) на гражданских частотах. В настоящей статье анализируются данные наблюдений и эфемеридно-временная информация от 18 станций, задействованных в эксперименте по интегрированию ГНСС (Multi-GNSS Experiment – MGEX), для оценки эффективности RAIM при использовании многочастотных сигналов от нескольких ГНСС – в данном случае GPS, BDS и Galileo. Полученные результаты указывают на более высокую эффективность определения координат места и контроля целостности спутниковых данных при использовании комбинаций из нескольких ГНСС.</p></abstract><trans-abstract xml:lang="en"><p>In critical safety domains like civil aviation, Receiver Autonomous Integrity Monitoring (RAIM) supports integrity services from oceanic routes to non-precision approaches (NPA). The expansion of GNSS (Global Navigation Satellite System) civil frequencies improves these services. To evaluate RAIM availability enhancements from Multi-Frequency Multi-System (MFMS) integration, observation data and broadcast ephemeris from 18 global Multi-GNSS Experiment (MGEX) stations were analyzed for GPS/BDS/Galileo (Global Positioning System/BeiDou Navigation Satellite System/Galileo Navigation Satellite System) combinations. The results indicate that MFMS integration significantly improves positioning and integrity performance compared to single-system operation.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>RAIM</kwd><kwd>комбинация многочастотных ГНСС</kwd><kwd>доступность</kwd><kwd>уровень защиты HPL/VPL</kwd></kwd-group><kwd-group xml:lang="en"><kwd>RAIM</kwd><kwd>Multi-Frequency Multi-System</kwd><kwd>availability</kwd><kwd>HPL/VPL</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">Hossam-E-Haider, M., Research on Check Space Method in RAIM Technology, Beijing: Beihang University, 2000.</mixed-citation><mixed-citation xml:lang="en">Hossam-E-Haider, M., Research on Check Space Method in RAIM Technology, Beijing: Beihang University, 2000.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang, Y., Li, D.R., Multi-star failure monitoring algorithm based on RAIM, Command Control and Simulation, 2020, vol. 42, no. 3, pp. 47–51, https://doi.org/10.3969/j.issn.1673-3819.2020.03.009.</mixed-citation><mixed-citation xml:lang="en">Zhang, Y., Li, D.R., Multi-star failure monitoring algorithm based on RAIM, Command Control and Simulation, 2020, vol. 42, no. 3, pp. 47–51, https://doi.org/10.3969/j.issn.1673-3819.2020.03.009.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang, Q., Zhao, L., and Zhou, J., Improved method for single and multiple GNSS faults exclusion based on consensus voting, Journal of Navigation, 2019, vol. 72, no. 4, pp. 987–1006, https://doi.org/10.1017/S0373463318001133.</mixed-citation><mixed-citation xml:lang="en">Zhang, Q., Zhao, L., and Zhou, J., Improved method for single and multiple GNSS faults exclusion based on consensus voting, Journal of Navigation, 2019, vol. 72, no. 4, pp. 987–1006, https://doi.org/10.1017/S0373463318001133.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Luo, M., Dang, J., Hao, Z., and Zhang, Z., A CIPSO-FCM-based RAIM algorithm for the GPS/BDS integrated navigation system, IEEE Access, 2021, vol. 9, pp. 140983–140990, https://doi.org/10.1109/ACCESS.2021.3119704.</mixed-citation><mixed-citation xml:lang="en">Luo, M., Dang, J., Hao, Z., and Zhang, Z., A CIPSO-FCM-based RAIM algorithm for the GPS/BDS integrated navigation system, IEEE Access, 2021, vol. 9, pp. 140983–140990, https://doi.org/10.1109/ACCESS.2021.3119704.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Fan, L., Tu, R., Zhang, R., et al., ARAIM availability of BDS-2 and BDS-3 in the global LPV-200 approach, Gyroscopy and Navigation, 2022, vol. 13, pp. 294–303, https://doi.org/10.1134/S2075108722040058.</mixed-citation><mixed-citation xml:lang="en">Fan, L., Tu, R., Zhang, R., et al., ARAIM availability of BDS-2 and BDS-3 in the global LPV-200 approach, Gyroscopy and Navigation, 2022, vol. 13, pp. 294–303, https://doi.org/10.1134/S2075108722040058.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Liu, L., et al., Review of receiver autonomous integrity monitoring in aircraft approach phase, Journal of North University of China (Natural Science Edition), 2023, vol. 44, no. 6, pp. 605–615 (in Chinese), https://doi.org/10.3969/j.issn.1673-3193.2023.06.004.</mixed-citation><mixed-citation xml:lang="en">Liu, L., et al., Review of receiver autonomous integrity monitoring in aircraft approach phase, Journal of North University of China (Natural Science Edition), 2023, vol. 44, no. 6, pp. 605–615 (in Chinese), https://doi.org/10.3969/j.issn.1673-3193.2023.06.004.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Han, L., Lu, H., Xie, Y., and Chen, C., A novel RAIM algorithm for single-frequency GNSS receiver based on virtual triple-frequency techniques, Proc. 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