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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">bsuir</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады БГУИР</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady BGUIR</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1729-7648</issn><issn pub-type="epub">2708-0382</issn><publisher><publisher-name>БГУИР</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.35596/1729-7648-2022-20-8-51-58</article-id><article-id custom-type="elpub" pub-id-type="custom">bsuir-3523</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, РАДИОФИЗИКА, РАДИОТЕХНИКА, ИНФОРМАТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRONICS, RADIOPHYSICS, RADIOENGINEERING, INFORMATICS</subject></subj-group></article-categories><title-group><article-title>Селекция и компенсация сигналов спуфинга в гражданской аппаратуре потребителя глобальной навигационной спутниковой системы с многоканальной приемной системой</article-title><trans-title-group xml:lang="en"><trans-title>Spoofing’s Selection and Compensation in the Global Navigation Satellite System Consumer Navigation Equipment with Multi-Channel Antenna System</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>Саад</surname><given-names>Х. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Saad</surname><given-names>H. Kh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>г. Минск</p></bio><bio xml:lang="en"><p>Saad H. Kh., Postgraduate at the Department of Information Radiotechnologies</p><p>Minsk</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>Лобан</surname><given-names>М. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Loban</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>г. Минск</p></bio><bio xml:lang="en"><p>Loban Maria Andreevna, Engineer at the Department of Information Radiotechnologies</p><p>220013, Minsk, P. Brovka St., 6</p><p>Tel. +375 17 293-89-11</p></bio><email xlink:type="simple">m.loban@bsuir.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский государственный университет информатики и радиоэлектроники</institution></aff><aff xml:lang="en"><institution>Belarusian State University of Informatics and Radioelectronics</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>04</day><month>01</month><year>2023</year></pub-date><volume>20</volume><issue>8</issue><fpage>51</fpage><lpage>58</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Саад Х.Х., Лобан М.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Саад Х.Х., Лобан М.А.</copyright-holder><copyright-holder xml:lang="en">Saad H.K., Loban M.A.</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://doklady.bsuir.by/jour/article/view/3523">https://doklady.bsuir.by/jour/article/view/3523</self-uri><abstract><p>Предложен метод селекции сигналов спуфинга (от англ. spoofing – подмена) в гражданской аппаратуре потребителя с многоканальной антенной системой. Метод предполагает согласованную фильтрацию принимаемых сигналов на выходах всех элементов антенной системы и по дальномерным кодам всех навигационных спутников, обнаружение и измерение времен задержки истинных и ложных навигационных сигналов в каждом кодовом канале по выходному сигналу одного из элементов антенной системы, измерение разности фаз сигналов на выходах элементов антенной системы и выбранного опорного элемента по расчетным временам задержки в каждом канале по коду. Компенсация сигналов спуфинга осуществляется в пространственной области путем оценивания корреляционной матрицы процессов на выходах каналов антенной системы по соответствующим отсчетам сигналов кодовых каналов после согласованной фильтрации, формирования весового вектора при минимизации выходной мощности сигналов спуфинга путем непосредственного обращения оценки корреляционной матрицы и проведения весовой обработки принятой реализации. Представлены результаты моделирования, подтверждающие эффективность метода.</p></abstract><trans-abstract xml:lang="en"><p>A method for selecting spoofing signals in consumer equipment with a multichannel antenna system is proposed. The method provides for consistent filtering of the received signals at the outputs of all antenna system elements and by ranging codes of all navigation satellites, detection and measurement of the time delay of the true and false navigation signals in each code channel by the output signal of one of the antenna system elements, measurement of the phase difference of the signals at the outputs of the antenna system elements and the selected reference element for the estimated time delay in each channel by code. Compensation of spoofing signals is carried out in the spatial domain by estimating the correlation matrix of processes at the outputs of the antenna system channels by the corresponding countdown of code channel signals after matched filtering and forming of a weight vector while minimizing the output power of spoofing signals by directly inverting the estimate of the correlation matrix and carrying out weight processing of the adopted implementation. The simulation results are presented, confirming the efficiency of the method.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>глобальная навигационная спутниковая система</kwd><kwd>спуфинг</kwd><kwd>многоканальная антенная система</kwd><kwd>проверка статистических гипотез</kwd><kwd>навигационный сигнал</kwd><kwd>приемный канал</kwd><kwd>разность фаз</kwd></kwd-group><kwd-group xml:lang="en"><kwd>global navigation satellite system</kwd><kwd>spoofing</kwd><kwd>multichannel antenna system</kwd><kwd>statistical hypothesis testing</kwd><kwd>navigation signal</kwd><kwd>receiving channel</kwd><kwd>phase difference</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">Korotkevich A., Saad H. Kh., Stupin K. (2021) Models of GPS-Spoofing of Civil Navigation Equipment of Consumer. 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