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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">najo-1021</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Comparison of wavelet transform and Fourier transform applied to analysis of non-stationary processes</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Drozdov</surname><given-names>A.</given-names></name></name-alternatives><email xlink:type="simple">av@biophys.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Pomortsev</surname><given-names>I.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Tyutyukin</surname><given-names>K.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Baloshin</surname><given-names>Y.</given-names></name></name-alternatives><bio xml:lang="en"><p>St. Petersburg</p></bio><email xlink:type="simple">baloshin1940@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute for Analytical Instrumentation Russian Academy of Science</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>ITMO University</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-3"><institution>St. Petersburg State University, Physical faculty</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2014</year></pub-date><pub-date pub-type="epub"><day>15</day><month>08</month><year>2025</year></pub-date><volume>5</volume><issue>3</issue><fpage>363</fpage><lpage>373</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Drozdov A., Pomortsev I., Tyutyukin K., Baloshin Y., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Drozdov A., Pomortsev I., Tyutyukin K., Baloshin Y.</copyright-holder><copyright-holder xml:lang="en">Drozdov A., Pomortsev I., Tyutyukin K., Baloshin 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://nanojournal.ifmo.ru/jour/article/view/1021">https://nanojournal.ifmo.ru/jour/article/view/1021</self-uri><abstract><p>This article contains a comparison of three data analysis methods’ informativity: wavelet transform, Fourier transform and short-time Fourier transform. This work contains an attempt to find the most sensitive method for the detection of quasiharmonic components in experimental data that have pronounced non-stationary behavior.</p><p>Results of high-frequency near-field sounding, IR-spectroscopy and NMR analysis of water, and also model harmonic signal were used as non-stationary processes for analysis.</p></abstract><kwd-group xml:lang="en"><kwd>wavelet transform</kwd><kwd>Fourier transform</kwd><kwd>short-time Fourier transform</kwd><kwd>non-stationary processes analysis</kwd><kwd>quasiharmonic signal</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">I. Daubechies. Ten lectures on wavelets. Philadelphia: S.I.A.M. (1992).</mixed-citation><mixed-citation xml:lang="en">I. Daubechies. Ten lectures on wavelets. Philadelphia: S.I.A.M. 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