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<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd">
<article article-type="research-article" dtd-version="1.2" xml:lang="ru" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><front><journal-meta><journal-id journal-id-type="issn">2518-1092</journal-id><journal-title-group><journal-title>Research result. Information technologies</journal-title></journal-title-group><issn pub-type="epub">2518-1092</issn></journal-meta><article-meta><article-id pub-id-type="doi">10.18413/2518-1092-2018-3-2-0-7</article-id><article-id pub-id-type="publisher-id">1390</article-id><article-categories><subj-group subj-group-type="heading"><subject>SYSTEM ANALYSIS AND PROCESSING OF KNOWLEDGE</subject></subj-group></article-categories><title-group><article-title>ON THE APPLICATION OF SPECTRAL ANALYSIS IN PROBLEMS OF PROCESSING OF EMPIRICAL DATA</article-title><trans-title-group xml:lang="en"><trans-title>ON THE APPLICATION OF SPECTRAL ANALYSIS IN PROBLEMS OF PROCESSING OF EMPIRICAL DATA</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Kovalenko</surname><given-names>Valentina Anatolievna</given-names></name><name xml:lang="en"><surname>Kovalenko</surname><given-names>Valentina Anatolievna</given-names></name></name-alternatives><email>578516@bsu.edu.ru</email></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Kovalenko</surname><given-names>Anastasia Nikolaevna</given-names></name><name xml:lang="en"><surname>Kovalenko</surname><given-names>Anastasia Nikolaevna</given-names></name></name-alternatives></contrib></contrib-group><pub-date pub-type="epub"><year>2018</year></pub-date><volume>3</volume><issue>2</issue><fpage>0</fpage><lpage>0</lpage><self-uri content-type="pdf" xlink:href="/media/information/2018/2/7_ит.pdf" /><abstract xml:lang="ru"><p>The article analyzes the main methods of spectral analysis as a tool for empirical data processing.&amp;nbsp;The theoretical foundations of the Fourier transform and wavelet transform (in continuous and&amp;nbsp;discrete forms) are presented, advantages and disadvantages of these transformations are described.&amp;nbsp;A brief analysis of the application of a one-dimensional Fourier transform and cross-spectral&amp;nbsp;analysis for the processing of time series is also given, areas of the preferred application of the&amp;nbsp;considered data analysis approaches are noted. The main fields of application of spectral analysis&amp;nbsp;are considered, the areas of wavelet transform application in medicine and physics are considered&amp;nbsp;in more detail. The considered transformations are widely used at the current stage of science and&amp;nbsp;technology development, and they have prospects for application in various fields. It is shown that&amp;nbsp;spectral analysis is an effective tool for empirical data analyzing.</p></abstract><trans-abstract xml:lang="en"><p>The article analyzes the main methods of spectral analysis as a tool for empirical data processing.&amp;nbsp;The theoretical foundations of the Fourier transform and wavelet transform (in continuous and&amp;nbsp;discrete forms) are presented, advantages and disadvantages of these transformations are described.&amp;nbsp;A brief analysis of the application of a one-dimensional Fourier transform and cross-spectral&amp;nbsp;analysis for the processing of time series is also given, areas of the preferred application of the&amp;nbsp;considered data analysis approaches are noted. The main fields of application of spectral analysis&amp;nbsp;are considered, the areas of wavelet transform application in medicine and physics are considered&amp;nbsp;in more detail. The considered transformations are widely used at the current stage of science and&amp;nbsp;technology development, and they have prospects for application in various fields. It is shown that&amp;nbsp;spectral analysis is an effective tool for empirical data analyzing.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>spectral analysis</kwd><kwd>wavelet analysis</kwd><kwd>Fourier transform</kwd><kwd>empirical data</kwd></kwd-group><kwd-group xml:lang="en"><kwd>spectral analysis</kwd><kwd>wavelet analysis</kwd><kwd>Fourier transform</kwd><kwd>empirical data</kwd></kwd-group></article-meta></front><back><ref-list><title>Список литературы</title><ref id="B1"><mixed-citation>1. Malozemov V.N., Masharskii S.M. Foundations of Discrete Harmonic Analysis. St. Petersburg: NIIMM,&amp;nbsp;2003. 288 p.</mixed-citation></ref><ref id="B2"><mixed-citation>2. Bakhvalov N.S. Zhidkov N.P., Kobelnikov G.М. Numerical methods &amp;ndash; 4 th ed. &amp;ndash; M.: BINOMIAL.&amp;nbsp;Laboratory of Knowledge, 2006. 636 pp.</mixed-citation></ref><ref id="B3"><mixed-citation>3. Kristalinsky R.E., Kristalinsky V.R. Fourier and Laplace Transformations in Computer Mathematics&amp;nbsp;Systems M.: Hot Line &amp;ndash; Telecom, 2012, 216 p.</mixed-citation></ref><ref id="B4"><mixed-citation>4. Evaluation of the effectiveness of various methods for analyzing temporal diagnostic signals / Kruglova&amp;nbsp;T.N., Shurygin D.N., Litvin D.A., Tarkovalin S.A., Vlasov S.A., Ryzhenkov S.I., Artsebashev V.V. // Modern high&amp;nbsp;technology. 2016. No. 8 (part 2). P. 237-241.</mixed-citation></ref><ref id="B5"><mixed-citation>5. Novikov L.V. Fundamentals of wavelet-analysis of signals. Tutorial. SPb.: Publishing house of&amp;nbsp;&amp;quot;MODUS +&amp;quot; Ltd., 1999. 152 p.</mixed-citation></ref><ref id="B6"><mixed-citation>6. Dyakonov V.P. Wavelets. From theory to practice. M.: SOLON-R, 2002. 448 p.</mixed-citation></ref><ref id="B7"><mixed-citation>7. Chernomorets A.A., Bolgova E.V., Petina M.A. On mathematical models of the analysis of the state of&amp;nbsp;underground waters of the mining node // Current trends in the development of science and production: a collection&amp;nbsp;of materials of the International Scientific and Practical Conference (January 21-22, 2016). Volume II. &amp;ndash; Kemerovo:&amp;nbsp;ZapSibNTS, 2016. &amp;ndash; P. 275-278.</mixed-citation></ref><ref id="B8"><mixed-citation>8. Dobesi I. Dozens of lectures on wavelets. М: Regular and chaotic dynamics, 2001. 364 p.&amp;nbsp;</mixed-citation></ref><ref id="B9"><mixed-citation>9. Successes and perspectives of application of wavelet transformations for the analysis of non-stationary&amp;nbsp;nonlinear data in modern geophysics / Filatova A.E., Artemiev A.E., Koronovskii A.A., Pavlov A.N.,&amp;nbsp;Hramov A.E. // News of higher educational institutions. 2010. № 3 (volume 18). P. 3-23.</mixed-citation></ref><ref id="B10"><mixed-citation>10. Deineko Zh.V. Wavelet-coherence as a tool for visualization of complex physical processes // URL:https://www.researchgate.net/profile/Zhanna_Deineko/publication/316987269_VEJVLETKOGERENTNOST_KAK_INSTRUMENT_VIZUALIZACII_SLOZNYH_FIZICESKIH_PROCESSOV/links/591be2420f7e9b7727d8b0c0/VEJVLET-KOGERENTNOST-KAK-INSTRUMENT-VIZUALIZACII-SLOZNYHFIZICESKIH-PROCESSOV.pdf (date of circulation: April 19, 2018)</mixed-citation></ref></ref-list></back></article>