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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">zhps</journal-id><journal-title-group><journal-title xml:lang="ru">Журнал прикладной спектроскопии</journal-title><trans-title-group xml:lang="en"><trans-title>Zhurnal Prikladnoii Spektroskopii</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0514-7506</issn><publisher><publisher-name>B. I. Stepanov Institute of Physics of the National Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">zhps-1066</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>АННОТАЦИИ АНГЛОЯЗЫЧНЫХ СТАТЕЙ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ABSTRACTS ENGLISH-LANGUAGE ARTICLES</subject></subj-group></article-categories><title-group><article-title>Критерий пороговой обработки на основе разреженности для удаления паразитного эха и шумоподавления магнитно-резонансных спектров с использованием расширенного вейвлет-преобразования</article-title><trans-title-group xml:lang="en"><trans-title>Sparsity-Based Thresholding Criterion for Spurious Echo Removal and Denoising Magnetic Resonance Spectra Using Rational-Dilation Wavelet Transform</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>Sagar</surname><given-names>Ch.</given-names></name><name name-style="western" xml:lang="en"><surname>Sagar</surname><given-names>Ch.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Варанаси, Уттар-Прадеш</p></bio><bio xml:lang="en"><p>Varanasi, Uttar Pradesh</p></bio><email xlink:type="simple">chiranjeevs.rs.bme16@itbhu.ac.in</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Kumar Singh</surname><given-names>D.</given-names></name><name name-style="western" xml:lang="en"><surname>Kumar Singh</surname><given-names>D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Варанаси, Уттар-Прадеш</p></bio><bio xml:lang="en"><p>Varanasi, Uttar Pradesh</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>Sharma</surname><given-names>N.</given-names></name><name name-style="western" xml:lang="en"><surname>Sharma</surname><given-names>N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Варанаси, Уттар-Прадеш</p></bio><bio xml:lang="en"><p>Varanasi, Uttar Pradesh</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Школа биомедицинской инженерии Индийского технологического института (BHU)</institution></aff><aff xml:lang="en"><institution>School of Biomedical Engineering at Indian Institute of Technology (BHU)</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Специализированная больница Apex и Институт последипломного образования</institution></aff><aff xml:lang="en"><institution>Department of Oncology, Apex Super-Speciality Hospital and Post Graduate Institute</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>26</day><month>05</month><year>2022</year></pub-date><volume>89</volume><issue>3</issue><fpage>430</fpage><lpage>430</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Sagar C., Kumar Singh D., Sharma N., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Sagar C., Kumar Singh D., Sharma N.</copyright-holder><copyright-holder xml:lang="en">Sagar C., Kumar Singh D., Sharma 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://zhps.ejournal.by/jour/article/view/1066">https://zhps.ejournal.by/jour/article/view/1066</self-uri><abstract><p>Предложена стратегия шумоподавления с использованием разложения сигнала на основе расширенного вейвлет-преобразования и критерия пороговых значений, разработанного с использованием меры разреженности на основе Lpq-нормы уровней разложения сигнала. По сравнению со стандартными современными методами, которые эффективны при шумоподавлении, но могут вызывать искажение сигнала при нарушениях непрерывности, предлагаемый метод может удалить артефакты, например ложные эхо-сигналы, и улучшить отношение сигнал/шум без искажения сигнала.</p></abstract><trans-abstract xml:lang="en"><p>Biological signals such as magnetic resonance spectroscopy (MRS) signals are susceptible to noise and artifacts. The information obtained from these signals is significant in analyzing human physiological conditions. MRS, a non-ionizing and non-invasive method, presents an effective alternative method to biopsy for diagnosis and analysis from generated signals that are rich in chemical information of the tissues in the region of interest. A persisting problem of this method is the presence of noise and artifacts causing misinterpretation and subsequent incorrect diagnosis. The present research proposes a denoising strategy using the rational-dilation wavelet transform-based signal decomposition and a thresholding criterion designed using the Lpq norm-based sparsity measure of the decomposition levels of the signal. Compared with the standard state-of-the-art methods, which are effective in denoising but can cause distortion of the signal at discontinuities, the proposed method can remove artifacts such as spurious echoes present in the magnetic resonance signals and improve the signal-to-noise ratio without distorting the signal.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>магнитно-резонансная спектроскопия</kwd><kwd>рациональное расширение</kwd><kwd>разреженность</kwd><kwd>Lpq-норма</kwd><kwd>ложное эхо</kwd></kwd-group><kwd-group xml:lang="en"><kwd>magnetic resonance spectroscopy</kwd><kwd>rational-dilation</kwd><kwd>sparsity</kwd><kwd>Lpq-norm</kwd><kwd>spurious echo</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work is supported by the Indian Institute of Technology (BHU), Varanasi, UP, India.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">C. 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