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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</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">10.17285/0869-7035.2018.26.3.040-053</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-284</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>Математический анализ фазовых погрешностей в схеме слежения приемника GPS при помехах разного рода</article-title><trans-title-group xml:lang="en"><trans-title>Mathematical Analysis for the GPS Carrier Tracking Loop Phase Jitter in Presence of Different Types of Interference Signals</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>Шахин</surname><given-names>Э. M.</given-names></name><name name-style="western" xml:lang="en"><surname>Shaheen</surname><given-names>E.M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шахин Эхаб М. Доцент, доктор наук, кафедра средств радиоэлектронной борьбы, Военно-технический колледж (Каир, Египет).</p></bio><bio xml:lang="en"><p>Department of Electronic Warfare, Military Technical College, Cairo</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>Военно-технический колледж (Каир).</institution><country>Egypt</country></aff><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>21</day><month>11</month><year>2025</year></pub-date><volume>26</volume><issue>3</issue><fpage>40</fpage><lpage>53</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шахин Э.M., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Шахин Э.M.</copyright-holder><copyright-holder xml:lang="en">Shaheen E.</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/284">https://www.gyroscopy.ru/jour/article/view/284</self-uri><abstract><p>Качество работы приемника глобальной системы позиционирования GPS обычно зависит от функционирования следящего контура, поэтому его можно считать «сердцем» приемника. Было доказано, что схема фазовой автоподстройки частоты (ФАПЧ) более чувствительна к шуму и помехам, чем схема слежения за задержкой (ССЗ). По этой причине ФАПЧ можно использовать как средство исследования рабочих характеристик приемника GPS в присутствии помех. В статье выводится аналитическое решение для расчета погрешности ФАПЧ в присутствии различного рода помех, таких как непрерывные синусоидальные, узкополосные, с частичным перекрытием по полосе, широкополосные, сосредоточенные по спектру и импульсные. Кроме того, аналитически получено пороговое значение отношения несущей к шуму. Полученные аналитические выражения были проверены путем моделирования.</p></abstract><trans-abstract xml:lang="en"><p>The performance of a Global Positioning System (GPS) receiver usually depends on the racking loops, so they can be considered the heart of the GPS receivers. It has been proven that the carrier tracking loop is more sensitive to noise and interference than the code tracking loop. Therefore, the carrier tracking loop can be used as a means for investigating the GPS receiver performance in presence of interference. In this paper, closed form analytical expressions for the carrier tracking loop phase error are derived in presence of different types of interference signals such as continuous wave interference, narrowband interference, partial band interference, broadband interference, match spectrum interference, and pulse interference. Also the carrier-to-noise ratio threshold is analytically derived. The derived analytical expressions have been validated with the aid of simulation experiments.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>GPS</kwd><kwd>узкополосные помехи</kwd><kwd>ФАПЧ</kwd><kwd>пороговое значение отношения несущей к шуму.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>GPS</kwd><kwd>NBI</kwd><kwd>carrier tracking loop</kwd><kwd>interference signals</kwd><kwd>carrier-to-noise ratio threshold.</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">Kaplan, E.D. and Hegarty, C.J., Eds., Understanding GPS Principles and Applications, Artech House, 2006.</mixed-citation><mixed-citation xml:lang="en">Kaplan, E.D. and Hegarty, C.J., Eds., Understanding GPS Principles and Applications, Artech House, 2006.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Parkinson, B.W. and Spilker, J.J., Eds., Global Positioning System: Theory and Applications, Washington DC: American Institute of Aeronautics and Astronautics, Inc, 1996.</mixed-citation><mixed-citation xml:lang="en">Parkinson, B.W. and Spilker, J.J., Eds., Global Positioning System: Theory and Applications, Washington DC: American Institute of Aeronautics and Astronautics, Inc, 1996.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Bakker, P. 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