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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">radioelectronics</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений России. Радиоэлектроника</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of the Russian Universities. Radioelectronics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1993-8985</issn><issn pub-type="epub">2658-4794</issn><publisher><publisher-name>Saint Petersburg Electrotechnical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32603/1993-8985-2025-28-6-6-23</article-id><article-id custom-type="elpub" pub-id-type="custom">radioelectronics-1088</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>РАДИОТЕХНИЧЕСКИЕ СРЕДСТВА ПЕРЕДАЧИ, ПРИЕМА И ОБРАБОТКИ СИГНАЛОВ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>RADIO ELECTRONIC FACILITIES FOR SIGNAL TRANSMISSION, RECEPTION AND PROCESSING</subject></subj-group></article-categories><title-group><article-title>Методы подавления помех при приеме сигналов глобальных навигационных спутниковых систем с использованием вейвлет-преобразования и пространственной обработки сигналов</article-title><trans-title-group xml:lang="en"><trans-title>Methods for GNSS Interference Mitigation Using Wavelet Transform and Spatial Signal Processing</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0002-4468-4857</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Коломенский</surname><given-names>К. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Kolomensky</surname><given-names>K. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Коломенский Константин Юрьевич – кандидат технических наук (1986), заместитель директора по науке </p><p>Большой Смоленский пр., д. 4А, Санкт-Петербург, 192029</p></bio><bio xml:lang="en"><p>Konstantin Yu. Kolomensky, Cand. Sci. (Eng.) (1986), Deputy Director on Science</p><p>4А, Bolshoy Smolensky Ave., Saint Petersburg 192029</p></bio><email xlink:type="simple">kkolomenskii@stc-spb.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский центр телекоммуникаций им. М. И. Кривошеева</institution><country>Россия</country></aff><aff xml:lang="en"><institution>The M. I. Krivosheev National Research Centre for Telecommunication,&#13;
St Petersburg Branch</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>17</day><month>01</month><year>2026</year></pub-date><volume>28</volume><issue>6</issue><fpage>6</fpage><lpage>23</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Коломенский К.Ю., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Коломенский К.Ю.</copyright-holder><copyright-holder xml:lang="en">Kolomensky K.Y.</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://re.eltech.ru/jour/article/view/1088">https://re.eltech.ru/jour/article/view/1088</self-uri><abstract><sec><title>Введение</title><p>Введение. В статье на основе анализа многочисленных литературных источников представлены результаты обзора методов подавления помех при приеме сигналов глобальных навигационных спутниковых систем (ГНСС) на базе вейвлет-преобразования и обработки сигналов в пространственной и пространственно-временной областях. В предыдущей статье автора по данной тематике был предложен вариант классификации методов подавления помех при приеме сигналов ГНСС, а также приведен обзор методов подавления помех ГНСС на основе обработки сигналов во временной, частотной и частотно-временной областях.</p></sec><sec><title>Цель работы</title><p>Цель работы. Представить результаты аналитического обзора методов подавлении помех ГНСС на основе вейвлет-преобразования и пространственной обработки сигналов.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Исследования и анализ рассматриваемых методов выполнены на основе материалов литературных источников 2000–2024 гг., которые отбирались в соответствии со следующими критериями: во-первых, применение методов подавления именно к помехам ГНСС, во-вторых, теоретическое обоснование и экспериментальное подтверждение эффективности предлагаемых методов. В статье рассмотрены методы на основе применения вейвлет-преобразования, алгоритмов пеленгации источников радиоизлучения, в том числе методов со сверхразрешением (методы Кейпона, MUSIC, ESPRIT), а также методов с использованием пространственно-временного адаптивного процессора (Space-Time Adaptive Processor – STAP).</p></sec><sec><title>Результаты</title><p>Результаты. Представлен обзор и основные результаты сравнительного анализа методов и алгоритмов борьбы с помехами при приеме сигналов ГНСС с использованием вейвлет-преобразования, а также на основе пространственной и пространственно-временной обработки сигналов.</p></sec><sec><title>Заключение</title><p>Заключение. Проведенный обзор и сравнительный анализ наиболее распространенных и эффективных методов борьбы с помехами ГНСС призваны помочь исследователям и разработчикам сократить время на изучение множества подходов к решению данной проблемы, предложенных на сегодняшний день в литературе. Наиболее эффективным методом подавления помех ГНСС является использование многоэлементных адаптивных антенных решеток. Такие антенные системы, особенно в варианте с пространственно-временной обработкой сигналов, являются мощным инструментом для потребителей, заинтересованных в высокой помехоустойчивости приема сигналов ГНСС и готовых к значительным затратам для ее обеспечения.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. An analytical review of literature sources reporting various methods for GNSS interference mitigation using wavelet transform and signal processing in spatial and space–time domains is conducted. In his previous publication, the author proposed an approach to classifying GNSS interference mitigation methods and carried out a review of methods based on signal processing in the time, frequency, and time–frequency domains.</p></sec><sec><title>Aim</title><p>Aim. To carry out an analytical review of the basic principles and approaches for GNSS interference mitigation based on wavelet transform and spatial signal processing.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The analysis involved literature sources published during the period from 2000 to 2024, selected in accordance with the following criteria: application of mitigation methods specifically to GNSS interference and papers containing theoretical justification and experimental confirmation of the effectiveness of the proposed methods. The author discusses methods that employ wavelet transform, super-resolution direction finding algorithms (Capon methods, MUSIC, ESPRIT), as well as methods using a Space-Time Adaptive Processor (STAP).</p></sec><sec><title>Results</title><p>Results. The results of the conducted comparative review of methods and algorithms for mitigating interference in the reception of GNSS signals based on wavelet transform and signal processing in spatial and space–time domains are presented.</p></sec><sec><title>Conclusion</title><p>Conclusion. The conducted review and comparative analysis of the most common and effective methods of GNSS interference mitigation are useful for researchers and developers in terms of optimizing their literature search for the most recent achievements in the field. The use of multi-element adaptive antenna arrays is the most effective method for suppressing GNSS interference. Such antenna systems, particularly coupled with Space-Time Adaptive Processor, are a powerful tool for those consumers interested in high noise immunity of receiving GNSS signals and ready to bear the respective costs.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>глобальные навигационные спутниковые системы (ГНСС)</kwd><kwd>подавление помех ГНСС</kwd><kwd>вейвлет-преобразование (Wavelet Transform)</kwd><kwd>алгоритмы пеленгации со сверхразрешением (методы Кейпона</kwd><kwd>MUSIC</kwd><kwd>ESPRIT)</kwd><kwd>пространственная и пространственно-временная обработка сигналов</kwd></kwd-group><kwd-group xml:lang="en"><kwd>global navigation satellite systems (GNSS)</kwd><kwd>GNSS interference mitigation</kwd><kwd>wavelet transform</kwd><kwd>super-resolution direction finding algorithms (Capon methods</kwd><kwd>MUSIC</kwd><kwd>ESPRIT)</kwd><kwd>signal processing in spatial and space-time domains</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">Коломенский К. 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