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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">mireabulletin</journal-id><journal-title-group><journal-title xml:lang="ru">Russian Technological Journal</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Technological Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-3210</issn><issn pub-type="epub">2500-316X</issn><publisher><publisher-name>RTU MIREA</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32362/2500-316X-2026-14-4-82-95</article-id><article-id custom-type="edn" pub-id-type="custom">VLPBLV</article-id><article-id custom-type="elpub" pub-id-type="custom">mireabulletin-1617</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>СОВРЕМЕННЫЕ РАДИОТЕХНИЧЕСКИЕ И ТЕЛЕКОММУНИКАЦИОННЫЕ СИСТЕМЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MODERN RADIO ENGINEERING AND TELECOMMUNICATION SYSTEMS</subject></subj-group></article-categories><title-group><article-title>Гибридная архитектура нейронной сети ResBiLSTM-BiGRU для эффективного подавления шума в радиоканале с цифровыми модулированными сигналами</article-title><trans-title-group xml:lang="en"><trans-title>Hybrid neural network architecture ResBiLSTM-BiGRU for efficient noise suppression in radio channels with digitally modulated 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/0000-0002-2810-1204</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нгуен</surname><given-names>В. З.</given-names></name><name name-style="western" xml:lang="en"><surname>Nguyen</surname><given-names>V. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Нгуен Ван Зунг, к.т.н., преподаватель, кафедра теории цепей измерения, Факультет радиотехники и электроники</p><p>Ханой, ул. Хоанг Куок Вьет, д. 236</p></bio><bio xml:lang="en"><p>Nguyen Van Dung, Cand. Sci. (Eng.), Lecturer, Department of Circuit Theory Measurement, Faculty of Radio-Electronic Engineering</p><p>236, Hoang Quoc Viet, Ha Noi</p></bio><email xlink:type="simple">nguyenvandungvtdt@lqdtu.edu.vn</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0006-2093-7150</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Фан</surname><given-names>Ч. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Phan</surname><given-names>T. H.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Фан Чонг Хань, к.т.н., преподаватель, кафедра теории цепей измерения, Факультет радиотехники и электроники</p><p>Ханой, ул. Хоанг Куок Вьет, д. 236</p></bio><bio xml:lang="en"><p>Phan Trong Hanh, Cand. Sci. (Eng.), Lecturer, Department of Circuit Theory Measurement, Faculty of Radio-Electronic Engineering</p><p>236, Hoang Quoc Viet, Ha Noi</p></bio><email xlink:type="simple">maitrongphan@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Вьетнамский государственный технический университет им. Ле Куй Дона</institution><country>Вьетнам</country></aff><aff xml:lang="en"><institution>Le Quy Don Technical University</institution><country>Viet Nam</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>08</day><month>08</month><year>2026</year></pub-date><volume>14</volume><issue>4</issue><fpage>82</fpage><lpage>95</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Нгуен В.З., Фан Ч.Х., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Нгуен В.З., Фан Ч.Х.</copyright-holder><copyright-holder xml:lang="en">Nguyen V.D., Phan T.H.</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.rtj-mirea.ru/jour/article/view/1617">https://www.rtj-mirea.ru/jour/article/view/1617</self-uri><abstract><sec><title>Цели</title><p>Цели. Целью данной работы является разработка эффективного метода подавления аддитивного гауссовского шума в радиоканале, обеспечивающего высокое качество восстановления цифровых модулированных сигналов при низких значениях отношения сигнал/шум (signal-to-noise ratio, SNR).</p></sec><sec><title>Методы</title><p>Методы. Для решения поставленной задачи предложена гибридная архитектура, объединяющая рекуррентные нейронные сети типов долгой краткосрочной памяти (long short-term memory, LSTM) и управляемых рекуррентных блоков (gated recurrent unit, GRU). Модель ResBiLSTM-BiGRU обеспечивает более стабильное обучение, повышенное качество восстановления и более точное моделирование временной структуры сигналов. Эффективность модели оценивалась на многомодуляционном наборе данных при различных уровнях входного SNR.</p></sec><sec><title>Результаты</title><p>Результаты. Экспериментальные исследования показали, что предложенная модель в среднем обеспечивает увеличение выходного SNR на 2–3 дБ по сравнению с релятивистской усредненной генеративно-состязательной сетью (relativistic average generative adversarial networks, RaGAN) и более чем на 10 дБ по сравнению с методом на основе вейвлет-преобразования при одинаковых условиях моделирования. Модель характеризуется меньшими значениями среднеквадратической ошибки и более высокими коэффициентами корреляции во всем диапазоне входных SNR от −10 до 10 дБ. Значения пикового SNR также свидетельствуют о высоком качестве восстановления сигналов, особенно при низких уровнях входного SNR. Анализ архитектурных параметров показал, что наилучшие результаты достигаются при использовании 128 скрытых узлов и глубокой архитектуры ResBiLSTM-BiGRU.</p></sec><sec><title>Выводы</title><p>Выводы. Полученные результаты подтверждают эффективность и практическую применимость гибридной архитектуры ResBiLSTM-BiGRU для подавления аддитивного гауссовского шума в радиоканале и восстановления цифровых модулированных сигналов, особенно в условиях низкого SNR.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Objectives</title><p>Objectives. The work sets out to develop an effective method for suppressing additive Gaussian noise in radio channels to ensure the high-quality reconstruction of digitally modulated signals at low signal-to-noise ratio (SNR) levels. </p></sec><sec><title>Methods</title><p>Methods. To address this problem, a hybrid architecture is proposed that combines Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) recurrent neural networks. The ResBiLSTM-BiGRU model enables more stable training and improved reconstruction quality, as well as more accurate modeling of the temporal structure of signals. The performance of the model was evaluated using a multi-modulation dataset with various input SNR levels. </p></sec><sec><title>Results</title><p>Results. As confirmed by the experimental results, the proposed model achieves an average improvement of 2–3 dB in output SNR compared with the Relativistic Average Generative Adversarial Network (RaGAN) under identical simulation conditions, as well as a more than a 10-dB improvement as compared with the wavelet-transform-based method. The model is characterized by lower mean squared error values and higher correlation coefficients across the entire input SNR range from –10 to 10 dB. The peak SNR values also indicate high signal reconstruction quality, especially at low input SNR levels. Analysis of architectural parameters shows that the best performance is achieved with 128 hidden units and a deep ResBiLSTM-BiGRU architecture.</p></sec><sec><title>Conclusions</title><p>Conclusions. The obtained results confirm the effectiveness and practical applicability of the proposed ResBiLSTM-BiGRU hybrid architecture for suppressing additive Gaussian noise in radio channels and reconstructing digitally modulated signals, particularly under low-SNR conditions.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>когнитивные радиосети</kwd><kwd>автоматическая классификация модуляции</kwd><kwd>сигналы цифровой модуляции</kwd><kwd>глубокое обучение</kwd><kwd>гибридная сеть ResBiLSTM-BiGRU</kwd><kwd>подавление шума</kwd><kwd>отношение сигнал/шум</kwd><kwd>среднеквадратическая ошибка</kwd><kwd>коэффициент корреляции</kwd><kwd>пиковое отношение сигнал/шум</kwd></kwd-group><kwd-group xml:lang="en"><kwd>cognitive radio networks</kwd><kwd>automatic modulation classification</kwd><kwd>digitally modulated signals</kwd><kwd>deep learning</kwd><kwd>hybrid ResBiLSTM-BiGRU network</kwd><kwd>noise suppression</kwd><kwd>signal-to-noise ratio</kwd><kwd>mean squared error</kwd><kwd>correlation coefficient</kwd><kwd>peak signal-to-noise ratio</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">Wang W. 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