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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 / Gyroscopy and Navigation</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">10.17285/0869-7035.0008</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-255</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>Фильтрация вибросигнала лазерного гироскопа с использованием вейвлет-преобразования</article-title><trans-title-group xml:lang="en"><trans-title>Dither Filtering of Real RLG Signal Using Wavelet Transforms</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>Региману</surname><given-names>Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Regimanu</surname><given-names>B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Региману Бхарат. Старший научный сотрудник, кафедра электроники и связи</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>Дас</surname><given-names>К. Ч.</given-names></name><name name-style="western" xml:lang="en"><surname>K.Ch.</surname><given-names>Das</given-names></name></name-alternatives><bio xml:lang="ru"><p>Дас Кишор Чандра. Научный сотрудник</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рао</surname><given-names>К. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Rao</surname><given-names>K.S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Какарла Субба Рао. Профессор, кафедра электроники и связи</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>Рао</surname><given-names>Н. В. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Rao</surname><given-names>N.V.K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Рао Налам Венката Котесвара. Профессор, кафедра электроники и связи</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Технологический институт Чайтанья Бхарати (Хайдарабад, Индия).</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Chaitanya Bharathi Institute of Technology, Hyderabad, India</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Научно-исследовательский центр Имарат (Хайдарабад, Индия).</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Research Centre Imarat, Hyderabad, India</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>17</day><month>11</month><year>2025</year></pub-date><volume>27</volume><issue>3</issue><fpage>71</fpage><lpage>86</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Региману Б., Дас К., Рао К., Рао Н., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Региману Б., Дас К., Рао К., Рао Н.</copyright-holder><copyright-holder xml:lang="en">Regimanu B., K.Ch. D., Rao K., Rao N.</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/255">https://www.gyroscopy.ru/jour/article/view/255</self-uri><abstract><p>Кольцевые лазерные гироскопы (КЛГ) широко применяются в различных навигационных системах для точного измерения параметров вращательного движения объекта. При этом использование КЛГ на низких частотах представляет собой серьезную проблему, связанную с так называемым захватом, или синхронизацией, частот. Для ее устранения КЛГ подвергают механической высокочастотной вибрации. Таким образом, для определения истинных параметров вращательного движения вибрационную составляющую сигнала КЛГ необходимо удалить. С этой целью применяются однокаскадные, многокаскадные и многоскоростные фильтры. Недостатки таких фильтров связаны с их крайне высокой размерностью (если речь идет об использовании фильтров с конечной импульсной характеристикой) либо нелинейностью фазовых характеристик. В настоящей работе рассматривается способ удаления вибросигнала с применением методов мультимасштабного вейвлет-преобразования. Мультимасштабный анализ с пятью уровнями разложения выполнен с использованием различных типов вейвлетов, таких как дискретный вейвлет Мейера, вейвлет Добеши 45 (db45) и т.п. Установлено, что ни один из стандартных вейвлетов не позволяет добиться восстановления исходного сигнала. Удаление вибросигнала предлагается осуществлять с применением нового синтезированного вейвлета. Полезный сигнал восстанавливается с использованием коэффициентов аппроксимации на 5 уровне. Подавление вибросигнала составляет 107,0 дБ, при этом фазовые характеристики фильтра линейны в пределах полосы пропускания. По сравнению с разработанным ранее трехступенчатым комбинированным фильтром здесь также снижаются вычислительные затраты.</p></abstract><trans-abstract xml:lang="en"><p>Ring Laser Gyroscopes (RLGs) are widely used in many airborne and navigation systems for accurate measurement of the true rotation of the body movement. But the RLG’s suffer a serious problem at low frequencies known as Lock–in frequency. To avoid lock-in problem, the RLG is vibrated mechanically to a high frequency which is known as Dithering. In order to get the true rotation of the body the dither signal has to be removed. Single stage, multistage and multirate filters are suggested to remove the dither signal. These filters have the disadvantage that either the FIR filter length is too large or the phase characteristics are nonlinear. In this work, multiresolution Wavelet Transform (WT) techniques are used to remove the dither signal. Five level multiresolution analysis is carried out with various types of wavelets like Discrete Meyer and Daubechies 45 (db45) etc. With none of the standard wavelets, the original and reconstructed signals are matched. A new wavelet is designed to remove the dither signal. The required signal can be reconstructed back using the approximation coefficients at level 5. The dither signal is attenuated by 107.0 dB, and the phase characteristics are found to be linear in the pass band. The computational complexity is also less compared to the three stage combined filter reported earlier.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Кольцевой лазерный гироскоп</kwd><kwd>эффект Саньяка</kwd><kwd>вейвлет-преобразование</kwd><kwd>масштабирующая функция</kwd><kwd>вейвлет-функция</kwd><kwd>мультимасштабный анализ</kwd><kwd>низкочастотный фильтр</kwd><kwd>высокочастотный фильтр.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Ring laser gyroscope</kwd><kwd>Sagnac effect</kwd><kwd>wavelet transform</kwd><kwd>scaling function</kwd><kwd>wavelet function</kwd><kwd>multiresolution</kwd><kwd>low pass filter</kwd><kwd>high pass filter.</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">King, A.D., Inertial Navigation-Forty years of Evolution, GEC Review, Vol. 13, No. 3, 1998.</mixed-citation><mixed-citation xml:lang="en">King, A.D., Inertial Navigation-Forty years of Evolution, GEC Review, Vol. 13, No. 3, 1998.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Aronowitz, F., Fundamentals of the Ring Laser Gyro, 11430, Manzanita Trail, Dewey, Az 86327, U.S.A, 1977.</mixed-citation><mixed-citation xml:lang="en">Aronowitz, F., Fundamentals of the Ring Laser Gyro, 11430, Manzanita Trail, Dewey, Az 86327, U.S.A, 1977.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Post, E.J., Sagnac effect, Reviews of Modern Physics, 1967, vol. 39, no. 2, pp. 475.</mixed-citation><mixed-citation xml:lang="en">Post, E.J., Sagnac effect, Reviews of Modern Physics, 1967, vol. 39, no. 2, pp. 475.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Barbourm N.M., Elwell, J.M., Setterlu, R.H. 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