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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">tuzsut</journal-id><journal-title-group><journal-title xml:lang="ru">Труды учебных заведений связи</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of Telecommunication Universities</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1813-324X</issn><issn pub-type="epub">2712-8830</issn><publisher><publisher-name>СПбГУТ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.31854/1813-324X-2024-10-6-34-44</article-id><article-id custom-type="edn" pub-id-type="custom">VINYXC</article-id><article-id custom-type="elpub" pub-id-type="custom">tuzsut-639</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>ЭЛЕКТРОНИКА, ФОТОНИКА, ПРИБОРОСТРОЕНИЕ И СВЯЗЬ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRONICS, PHOTONICS, INSTRUMENTATION AND COMMUNICATIONS</subject></subj-group></article-categories><title-group><article-title>Методы пространственной обработки спутниковых навигационных сигналов  в частотной области</article-title><trans-title-group xml:lang="en"><trans-title>Space-Frequency Processing Methods for Satellite Navigation Signals</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3428-9976</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Царик</surname><given-names>В. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Tsarik</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ведущий инженер ООО «Эйртэго»</p></bio><email xlink:type="simple">wladimirzarik@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ООО «Эйртэго»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Airtago LLC</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>25</day><month>12</month><year>2024</year></pub-date><volume>10</volume><issue>6</issue><fpage>34</fpage><lpage>44</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Царик В.И., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Царик В.И.</copyright-holder><copyright-holder xml:lang="en">Tsarik V.I.</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://tuzs.sut.ru/jour/article/view/639">https://tuzs.sut.ru/jour/article/view/639</self-uri><abstract><sec><title>Актуальность</title><p>Актуальность. Весьма низкая мощность полезных информационных сигналов глобальных спутниковых навигационных систем вблизи поверхности Земли вместе с происходящим в последние годы заметным увеличением количества доступных и эффективных портативных средств постановки заградительных широкополосных энергетических помех делают задачу повышения помехоустойчивости радионавигационных спутниковых устройств особенно актуальной как с практической, так и с исследовательской точек зрения. В этой связи целью данного исследования явилось повышение помехоустойчивости глобальных спутниковых навигационных систем посредством обработки входных сигналов соответствующей принимающей аппаратуры специальными пространственными фильтрами. Для достижения цели работы была решена научная задача по исследованию увеличения помехоустойчивости радионавигационной аппаратуры с использованием в ней пространственной обработки входных сигналов в частотной области.</p></sec><sec><title>Используемые методы</title><p>Используемые методы. В ходе исследования были рассмотрены различные алгоритмы пространственной обработки сигналов, среди которых были как функционирующие в условиях отсутствия какой-либо информации о внешней относительно принимающей радионавигационной системы помеховой обстановке, так и задействующие сведения о количестве и относительном расположении источников помех. Дополнительно были исследованы различные методы нахождения числа источников помех и угловых направлений на них, а также современные алгоритмы оптимизации целевых функций, используемых для определения местоположения источников сигналов. </p><p>Научная новизна работы заключается в применении при решении поставленной задачи новых алгоритмов, реализующих отдельные этапы сигнальной обработки и обеспечивающих получение алгоритмами фильтрации информации, необходимой для их работы, а также в комбинировании известных методов с новыми подходами к их воплощению. </p></sec><sec><title>Результаты</title><p>Результаты. В ходе решения научной задачи было проведено сравнение характеристик качества работы всех рассмотренных алгоритмов, выполненное с применением метода компьютерного моделирования, при котором использовались записи реальных спутниковых навигационных сигналов с добавлением разного количества источников некоррелированных энергетических помех. В результате моделирования были получены значения показателей качества работы всех исследуемых алгоритмов и проведен их сравнительный анализ, по итогам которого выделены методы с наилучшими характеристиками. </p><p>Значимость результатов работы состоит в возможности использовать рассмотренные алгоритмы при разработке реальных устройств помехозащищенной спутниковой навигации.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Relevance</title><p>Relevance. Quite low power of the global satellite navigation systems’ useful informational signals near the Earth surface along with an ongoing noticeable increase of the number of easily available and efficient portable means of blocking wideband energetic interference radiation make the problem of radionavigational satellite devices antijamming capabilities improvement especially relevant both from practical and scientific points of view. Therefore, the goal of this research was to increase the antijamming capabilities of the global satellite navigation systems via processing of the corresponding receiving apparatus’ input signals by special spatial filters. To achieve the work goal the scientific task of researching on the antijamming capability improvement in radionavigational devices by means of space-frequency signal processing was solved. </p></sec><sec><title>The methods used</title><p>The methods used. During the research, different spatial signal processing algorithms were considered, among them both the ones functioning without any information about interference situation, external with respect to the receiving radionavigational system, and the ones using the knowledge about the number and relative disposition of the jamming sources. Additionally different methods of interference sources number and angular directions finding were studied, as well as modern cost function optimization algorithms which are used for signal sources’ location determination. </p><p>Scientific novelty of this work consists of usage of new algorithms that implement separate signal processing stages and that provide necessary information to the filtering algorithms during the problem solution, as well as of combining known methods with new approaches to their design. </p></sec><sec><title>The results</title><p>The results. During the scientific task solution, the performance quality metrics comparison was carried out for all the considered algorithms via the computer modeling method that employed recordings of real satellite navigational signals with addition of varying number of uncorrelated energetic interferences sources. As a result of modeling, the performance quality measure values were obtained for all the investigated algorithms and the comparative analysis thereof was conducted, at the end whereof the methods with the best characteristics were picked out. </p><p>The significance of the work results consists of possibility of using the considered algorithms in real antijamming satellite navigation devices design.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>спутниковые навигационные системы</kwd><kwd>помехоустойчивость</kwd><kwd>энергетическая помеха</kwd><kwd>пространственная обработка</kwd><kwd>частотная область</kwd><kwd>MATLAB</kwd></kwd-group><kwd-group xml:lang="en"><kwd>satellite navigation systems</kwd><kwd>antijamming capability</kwd><kwd>energetic interference</kwd><kwd>spatial processing</kwd><kwd>frequency domain</kwd><kwd>MATLAB</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">Misra P., Enge P. 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