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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 pub-id-type="doi">10.17285/0869-7035.2016.24.3.014-025</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-359</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>Повышение точности позиционирования при совместной обработке измерений GPS и ГЛОНАСС с помощью фильтра Калмана в условиях спуфинга</article-title><trans-title-group xml:lang="en"><trans-title>Positioning Improvement by Combining GPS and GLONASS Based on Kalman Filter and Its Application in Spoofing Situations</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>Мосави</surname><given-names>М. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Mosavi</surname><given-names>M. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мосави Мохаммед Реза, профессор. </p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Табатабаи</surname><given-names>А.</given-names></name><name name-style="western" xml:lang="en"><surname>Tabatabaei</surname><given-names>A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Табатабаи Амир, аспирант. </p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Занди</surname><given-names>М. Дж.</given-names></name><name name-style="western" xml:lang="en"><surname>Zandi</surname><given-names>M. J.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Занди Мохаммед Джавад, аспирант. </p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Иранский научно-технологический университет (Тегеран).</institution><country>Иран</country></aff><aff xml:lang="en"><institution>Iran University of Science and Technology, Narmak Tehran</institution><country>Islamic Republic of Iran</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Военно-Морской университет им. Имама Хомейни (Ноушехр).</institution><country>Иран</country></aff><aff xml:lang="en"><institution>Imam Khomeini University of Maritime Sciences, Noshahr</institution><country>Islamic Republic of Iran</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>03</day><month>12</month><year>2025</year></pub-date><volume>24</volume><issue>3</issue><fpage>14</fpage><lpage>25</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мосави М.Р., Табатабаи А., Занди М., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Мосави М.Р., Табатабаи А., Занди М.</copyright-holder><copyright-holder xml:lang="en">Mosavi M.R., Tabatabaei A., Zandi M.</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/359">https://www.gyroscopy.ru/jour/article/view/359</self-uri><abstract><p>После завершения работы над обновленной системой ГЛОНАСС и обеспечения возможности ее использования по всему миру, как и GPS, лучший способ увеличения количества видимых спутников – это совместная обработка сигналов этих двух систем. С другой стороны, из-за спуфинга или блокировки спутников GPS совместная обработка становится еще более эффективной. В данной работе сигналы GPS и GLONASS обрабатываются совместно с помощью фильтра Калмана. Предлагается метод борьбы со спуфингом сигналов GPS путем контроля изменения псевдодальности. Не применяя дорогих приемников, с помощью данного метода можно распознавать спуфинг-атаки в реальном времени и устранять их влияние. Результаты обнаружения проимитированной спуфинг-атаки показали значительное снижение среднеквадратической погрешности позиционирования при использовании предложенного метода с измерениями ГЛОНАСС в сравнении с использованием только данных GPS.</p></abstract><trans-abstract xml:lang="en"><p>After renewed GLObal NAvigation Satellite System (GLONASS) was completed and it became world wide as its U.S. counterpart, Global Positioning System (GPS), the best way for increasing the number of satellites in the user’s view is combining these two systems. On the other hand, as it is possible for GPS satellites to be spoofed or blocked, combining becomes more efficacious. In this paper, GPS and GLONASS are used for positioning using Kalman filter. Kalman filter is utilized here because it is one of the cheapest and applicable tools for implementing on cheap processors. In addition, in this paper, we proposed a method against GPS signal spoofing based on combination of GPS and GLONASS regarding to pseudorange behavior in spoofing situations. The proposed method is not only easy to implement, but also low cost and high precision. This method without any need for expensive receiver has ability for real-time recognition of spoofing attacks and eliminating its effects. The recorded data was collected using an implemented GPS and GLONASS RF front-end in stationary mode and in order to show spoofing effects on positioning an artificial spoofing was applied on GPS satellite signals in different scenarios. The simulation results showed a big improvement in Root Mean Square (RMS) error in comparison with GPS-only positioning in all spoofed scenarios.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>GPS</kwd><kwd>GLONASS</kwd><kwd>комплексирование</kwd><kwd>спуфинг</kwd><kwd>фильтр Калмана</kwd></kwd-group><kwd-group xml:lang="en"><kwd>GPS</kwd><kwd>GLONASS</kwd><kwd>Integration</kwd><kwd>Spoofing</kwd><kwd>Kalman Filter.</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">Marais J., Nahimana D.F., Viandier N., and Duflos E. GNSS accuracy enhancement based on pseudo range error estimation in an urban propagation environment // Journal of Expert Systems with Applications. 2013. Vol. 40. No.15. P. 5956-5964.</mixed-citation><mixed-citation xml:lang="en">Marais J., Nahimana D.F., Viandier N., and Duflos E. 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